---
_id: '1198'
abstract:
- lang: eng
text: We consider a model of fermions interacting via point interactions, defined
via a certain weighted Dirichlet form. While for two particles the interaction
corresponds to infinite scattering length, the presence of further particles effectively
decreases the interaction strength. We show that the model becomes trivial in
the thermodynamic limit, in the sense that the free energy density at any given
particle density and temperature agrees with the corresponding expression for
non-interacting particles.
acknowledgement: 'Open access funding provided by Institute of Science and Technology
(IST Austria). '
article_processing_charge: Yes (via OA deal)
author:
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Moser T, Seiringer R. Triviality of a model of particles with point interactions
in the thermodynamic limit. Letters in Mathematical Physics. 2017;107(3):533-552.
doi:10.1007/s11005-016-0915-x
apa: Moser, T., & Seiringer, R. (2017). Triviality of a model of particles with
point interactions in the thermodynamic limit. Letters in Mathematical Physics.
Springer. https://doi.org/10.1007/s11005-016-0915-x
chicago: Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles
with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical
Physics. Springer, 2017. https://doi.org/10.1007/s11005-016-0915-x.
ieee: T. Moser and R. Seiringer, “Triviality of a model of particles with point
interactions in the thermodynamic limit,” Letters in Mathematical Physics,
vol. 107, no. 3. Springer, pp. 533–552, 2017.
ista: Moser T, Seiringer R. 2017. Triviality of a model of particles with point
interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3),
533–552.
mla: Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with
Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics,
vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x.
short: T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
date_created: 2018-12-11T11:50:40Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2023-09-20T11:18:13Z
day: '01'
ddc:
- '510'
- '539'
department:
- _id: RoSe
doi: 10.1007/s11005-016-0915-x
external_id:
isi:
- '000394280200007'
file:
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checksum: c0c835def162c1bc52f978fad26e3c2f
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:40Z
date_updated: 2020-07-14T12:44:38Z
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file_name: IST-2016-723-v1+1_s11005-016-0915-x.pdf
file_size: 587207
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file_date_updated: 2020-07-14T12:44:38Z
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intvolume: ' 107'
isi: 1
issue: '3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '03'
oa: 1
oa_version: Published Version
page: ' 533 - 552'
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_identifier:
issn:
- '03779017'
publication_status: published
publisher: Springer
publist_id: '6152'
pubrep_id: '723'
quality_controlled: '1'
related_material:
record:
- id: '52'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Triviality of a model of particles with point interactions in the thermodynamic
limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 107
year: '2017'
...
---
_id: '484'
abstract:
- lang: eng
text: We consider the dynamics of a large quantum system of N identical bosons in
3D interacting via a two-body potential of the form N3β-1w(Nβ(x - y)). For fixed
0 = β < 1/3 and large N, we obtain a norm approximation to the many-body evolution
in the Nparticle Hilbert space. The leading order behaviour of the dynamics is
determined by Hartree theory while the second order is given by Bogoliubov theory.
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
citation:
ama: Nam P, Napiórkowski MM. Bogoliubov correction to the mean-field dynamics of
interacting bosons. Advances in Theoretical and Mathematical Physics. 2017;21(3):683-738.
doi:10.4310/ATMP.2017.v21.n3.a4
apa: Nam, P., & Napiórkowski, M. M. (2017). Bogoliubov correction to the mean-field
dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics.
International Press. https://doi.org/10.4310/ATMP.2017.v21.n3.a4
chicago: Nam, Phan, and Marcin M Napiórkowski. “Bogoliubov Correction to the Mean-Field
Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics.
International Press, 2017. https://doi.org/10.4310/ATMP.2017.v21.n3.a4.
ieee: P. Nam and M. M. Napiórkowski, “Bogoliubov correction to the mean-field dynamics
of interacting bosons,” Advances in Theoretical and Mathematical Physics,
vol. 21, no. 3. International Press, pp. 683–738, 2017.
ista: Nam P, Napiórkowski MM. 2017. Bogoliubov correction to the mean-field dynamics
of interacting bosons. Advances in Theoretical and Mathematical Physics. 21(3),
683–738.
mla: Nam, Phan, and Marcin M. Napiórkowski. “Bogoliubov Correction to the Mean-Field
Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics,
vol. 21, no. 3, International Press, 2017, pp. 683–738, doi:10.4310/ATMP.2017.v21.n3.a4.
short: P. Nam, M.M. Napiórkowski, Advances in Theoretical and Mathematical Physics
21 (2017) 683–738.
date_created: 2018-12-11T11:46:43Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2021-01-12T08:00:58Z
day: '01'
department:
- _id: RoSe
doi: 10.4310/ATMP.2017.v21.n3.a4
ec_funded: 1
intvolume: ' 21'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1509.04631
month: '01'
oa: 1
oa_version: Submitted Version
page: 683 - 738
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Advances in Theoretical and Mathematical Physics
publication_identifier:
issn:
- '10950761'
publication_status: published
publisher: International Press
publist_id: '7336'
quality_controlled: '1'
scopus_import: 1
status: public
title: Bogoliubov correction to the mean-field dynamics of interacting bosons
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 21
year: '2017'
...
---
_id: '1259'
abstract:
- lang: eng
text: We consider the Bogolubov–Hartree–Fock functional for a fermionic many-body
system with two-body interactions. For suitable interaction potentials that have
a strong enough attractive tail in order to allow for two-body bound states, but
are otherwise sufficiently repulsive to guarantee stability of the system, we
show that in the low-density limit the ground state of this model consists of
a Bose–Einstein condensate of fermion pairs. The latter can be described by means
of the Gross–Pitaevskii energy functional.
acknowledgement: Partial financial support from the DFG grant GRK 1838, as well as
the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R.S.), is gratefully acknowledged.
article_number: '13'
article_processing_charge: Yes (via OA deal)
author:
- first_name: Gerhard
full_name: Bräunlich, Gerhard
last_name: Bräunlich
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Bräunlich G, Hainzl C, Seiringer R. Bogolubov–Hartree–Fock theory for strongly
interacting fermions in the low density limit. Mathematical Physics, Analysis
and Geometry. 2016;19(2). doi:10.1007/s11040-016-9209-x
apa: Bräunlich, G., Hainzl, C., & Seiringer, R. (2016). Bogolubov–Hartree–Fock
theory for strongly interacting fermions in the low density limit. Mathematical
Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-016-9209-x
chicago: Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock
Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical
Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9209-x.
ieee: G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory
for strongly interacting fermions in the low density limit,” Mathematical Physics,
Analysis and Geometry, vol. 19, no. 2. Springer, 2016.
ista: Bräunlich G, Hainzl C, Seiringer R. 2016. Bogolubov–Hartree–Fock theory for
strongly interacting fermions in the low density limit. Mathematical Physics,
Analysis and Geometry. 19(2), 13.
mla: Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting
Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry,
vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x.
short: G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and
Geometry 19 (2016).
date_created: 2018-12-11T11:50:59Z
date_published: 2016-06-01T00:00:00Z
date_updated: 2021-01-12T06:49:27Z
day: '01'
ddc:
- '510'
- '539'
department:
- _id: RoSe
doi: 10.1007/s11040-016-9209-x
file:
- access_level: open_access
checksum: 9954f685cc25c58d7f1712c67b47ad8d
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:13Z
date_updated: 2020-07-14T12:44:42Z
file_id: '4736'
file_name: IST-2016-702-v1+1_s11040-016-9209-x.pdf
file_size: 506242
relation: main_file
file_date_updated: 2020-07-14T12:44:42Z
has_accepted_license: '1'
intvolume: ' 19'
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Mathematical Physics, Analysis and Geometry
publication_status: published
publisher: Springer
publist_id: '6066'
pubrep_id: '702'
quality_controlled: '1'
scopus_import: 1
status: public
title: Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low
density limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2016'
...
---
_id: '1267'
abstract:
- lang: eng
text: We give a simplified proof of the nonexistence of large nuclei in the liquid
drop model and provide an explicit bound. Our bound is within a factor of 2.3
of the conjectured value and seems to be the first quantitative result.
acknowledgement: "Open access funding provided by Institute of Science and Technology
Austria.\r\n"
author:
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Rowan
full_name: Killip, Rowan
last_name: Killip
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
citation:
ama: Frank R, Killip R, Nam P. Nonexistence of large nuclei in the liquid drop model.
Letters in Mathematical Physics. 2016;106(8):1033-1036. doi:10.1007/s11005-016-0860-8
apa: Frank, R., Killip, R., & Nam, P. (2016). Nonexistence of large nuclei in
the liquid drop model. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0860-8
chicago: Frank, Rupert, Rowan Killip, and Phan Nam. “Nonexistence of Large Nuclei
in the Liquid Drop Model.” Letters in Mathematical Physics. Springer, 2016.
https://doi.org/10.1007/s11005-016-0860-8.
ieee: R. Frank, R. Killip, and P. Nam, “Nonexistence of large nuclei in the liquid
drop model,” Letters in Mathematical Physics, vol. 106, no. 8. Springer,
pp. 1033–1036, 2016.
ista: Frank R, Killip R, Nam P. 2016. Nonexistence of large nuclei in the liquid
drop model. Letters in Mathematical Physics. 106(8), 1033–1036.
mla: Frank, Rupert, et al. “Nonexistence of Large Nuclei in the Liquid Drop Model.”
Letters in Mathematical Physics, vol. 106, no. 8, Springer, 2016, pp. 1033–36,
doi:10.1007/s11005-016-0860-8.
short: R. Frank, R. Killip, P. Nam, Letters in Mathematical Physics 106 (2016) 1033–1036.
date_created: 2018-12-11T11:51:02Z
date_published: 2016-08-01T00:00:00Z
date_updated: 2021-01-12T06:49:30Z
day: '01'
ddc:
- '510'
- '539'
department:
- _id: RoSe
doi: 10.1007/s11005-016-0860-8
file:
- access_level: open_access
checksum: d740a6a226e0f5f864f40e3e269d3cc0
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:09Z
date_updated: 2020-07-14T12:44:42Z
file_id: '4863'
file_name: IST-2016-698-v1+1_s11005-016-0860-8.pdf
file_size: 349464
relation: main_file
file_date_updated: 2020-07-14T12:44:42Z
has_accepted_license: '1'
intvolume: ' 106'
issue: '8'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 1033 - 1036
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '6054'
pubrep_id: '698'
quality_controlled: '1'
scopus_import: 1
status: public
title: Nonexistence of large nuclei in the liquid drop model
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 106
year: '2016'
...
---
_id: '1291'
abstract:
- lang: eng
text: We consider Ising models in two and three dimensions, with short range ferromagnetic
and long range, power-law decaying, antiferromagnetic interactions. We let J be
the ratio between the strength of the ferromagnetic to antiferromagnetic interactions.
The competition between these two kinds of interactions induces the system to
form domains of minus spins in a background of plus spins, or vice versa. If the
decay exponent p of the long range interaction is larger than d + 1, with d
the space dimension, this happens for all values of J smaller than a critical
value Jc(p), beyond which the ground state is homogeneous. In this paper, we give
a characterization of the infinite volume ground states of the system, for pÂ
>Â 2d and J in a left neighborhood of Jc(p). In particular, we prove that the
quasi-one-dimensional states consisting of infinite stripes (d = 2) or slabs
(d = 3), all of the same optimal width and orientation, and alternating magnetization,
are infinite volume ground states. Our proof is based on localization bounds combined
with reflection positivity.
acknowledgement: "Open access funding provided by Institute of Science and Technology
(IST Austria). The\r\nresearch leading to these results has received funding from
the European Research Council under the European\r\nUnion’s Seventh Framework Programme
ERC Starting Grant CoMBoS (Grant Agreement No. 239694), from\r\nthe Italian PRIN
National Grant Geometric and analytic theory of Hamiltonian systems in finite and
infinite\r\ndimensions, and the Austrian Science Fund (FWF), project Nr. P 27533-N27.
Part of this work was completed\r\nduring a stay at the Erwin Schrödinger Institute
for Mathematical Physics in Vienna (ESI program 2015\r\n“Quantum many-body systems,
random matrices, and disorder”), whose hospitality and financial support is\r\ngratefully
acknowledged."
author:
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Giuliani A, Seiringer R. Periodic striped ground states in Ising models with
competing interactions. Communications in Mathematical Physics. 2016;347(3):983-1007.
doi:10.1007/s00220-016-2665-0
apa: Giuliani, A., & Seiringer, R. (2016). Periodic striped ground states in
Ising models with competing interactions. Communications in Mathematical Physics.
Springer. https://doi.org/10.1007/s00220-016-2665-0
chicago: Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States
in Ising Models with Competing Interactions.” Communications in Mathematical
Physics. Springer, 2016. https://doi.org/10.1007/s00220-016-2665-0.
ieee: A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models
with competing interactions,” Communications in Mathematical Physics, vol.
347, no. 3. Springer, pp. 983–1007, 2016.
ista: Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models
with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007.
mla: Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States
in Ising Models with Competing Interactions.” Communications in Mathematical
Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0.
short: A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016)
983–1007.
date_created: 2018-12-11T11:51:11Z
date_published: 2016-11-01T00:00:00Z
date_updated: 2021-01-12T06:49:40Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1007/s00220-016-2665-0
file:
- access_level: open_access
checksum: 3c6e08c048fc462e312788be72874bb1
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:02Z
date_updated: 2020-07-14T12:44:42Z
file_id: '4725'
file_name: IST-2016-688-v1+1_s00220-016-2665-0.pdf
file_size: 794983
relation: main_file
file_date_updated: 2020-07-14T12:44:42Z
has_accepted_license: '1'
intvolume: ' 347'
issue: '3'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 983 - 1007
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '6025'
pubrep_id: '688'
quality_controlled: '1'
scopus_import: 1
status: public
title: Periodic striped ground states in Ising models with competing interactions
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 347
year: '2016'
...
---
_id: '1486'
abstract:
- lang: eng
text: We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer
(BCS) functional of superconductivity, which were obtained in a series of papers,
partly in collaboration with R. Frank, E. Hamza, S. Naboko, and J. P. Solovej.
Our discussion includes, in particular, an investigation of the critical temperature
for a general class of interaction potentials, as well as a study of its dependence
on external fields. We shall explain how the Ginzburg-Landau model can be derived
from the BCS theory in a suitable parameter regime.
article_number: '021101'
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Hainzl C, Seiringer R. The Bardeen–Cooper–Schrieffer functional of superconductivity
and its mathematical properties. Journal of Mathematical Physics. 2016;57(2).
doi:10.1063/1.4941723
apa: Hainzl, C., & Seiringer, R. (2016). The Bardeen–Cooper–Schrieffer functional
of superconductivity and its mathematical properties. Journal of Mathematical
Physics. American Institute of Physics. https://doi.org/10.1063/1.4941723
chicago: Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer
Functional of Superconductivity and Its Mathematical Properties.” Journal of
Mathematical Physics. American Institute of Physics, 2016. https://doi.org/10.1063/1.4941723.
ieee: C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity
and its mathematical properties,” Journal of Mathematical Physics, vol.
57, no. 2. American Institute of Physics, 2016.
ista: Hainzl C, Seiringer R. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity
and its mathematical properties. Journal of Mathematical Physics. 57(2), 021101.
mla: Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional
of Superconductivity and Its Mathematical Properties.” Journal of Mathematical
Physics, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:10.1063/1.4941723.
short: C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
date_created: 2018-12-11T11:52:18Z
date_published: 2016-02-24T00:00:00Z
date_updated: 2021-01-12T06:51:04Z
day: '24'
department:
- _id: RoSe
doi: 10.1063/1.4941723
intvolume: ' 57'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1511.01995
month: '02'
oa: 1
oa_version: Preprint
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '5701'
quality_controlled: '1'
scopus_import: 1
status: public
title: The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical
properties
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2016'
...
---
_id: '1491'
abstract:
- lang: eng
text: We study the ground state of a trapped Bose gas, starting from the full many-body
Schrödinger Hamiltonian, and derive the non-linear Schrödinger energy functional
in the limit of a large particle number, when the interaction potential converges
slowly to a Dirac delta function. Our method is based on quantitative estimates
on the discrepancy between the full many-body energy and its mean-field approximation
using Hartree states. These are proved using finite dimensional localization and
a quantitative version of the quantum de Finetti theorem. Our approach covers
the case of attractive interactions in the regime of stability. In particular,
our main new result is a derivation of the 2D attractive non-linear Schrödinger
ground state.
acknowledgement: The authors acknowledge financial support from the European Research
Council (FP7/2007-2013 Grant Agreement MNIQS 258023) and the ANR (Mathostaq project,
ANR-13-JS01-0005-01). The second and third authors have benefited from the hospitality
of the Institute for Mathematical Science of the National University of Singapore.
author:
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Nicolas
full_name: Rougerie, Nicolas
last_name: Rougerie
citation:
ama: Lewin M, Nam P, Rougerie N. The mean-field approximation and the non-linear
Schrödinger functional for trapped Bose gases. Transactions of the American
Mathematical Society. 2016;368(9):6131-6157. doi:10.1090/tran/6537
apa: Lewin, M., Nam, P., & Rougerie, N. (2016). The mean-field approximation
and the non-linear Schrödinger functional for trapped Bose gases. Transactions
of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/6537
chicago: Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “The Mean-Field Approximation
and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” Transactions
of the American Mathematical Society. American Mathematical Society, 2016.
https://doi.org/10.1090/tran/6537.
ieee: M. Lewin, P. Nam, and N. Rougerie, “The mean-field approximation and the non-linear
Schrödinger functional for trapped Bose gases,” Transactions of the American
Mathematical Society, vol. 368, no. 9. American Mathematical Society, pp.
6131–6157, 2016.
ista: Lewin M, Nam P, Rougerie N. 2016. The mean-field approximation and the non-linear
Schrödinger functional for trapped Bose gases. Transactions of the American Mathematical
Society. 368(9), 6131–6157.
mla: Lewin, Mathieu, et al. “The Mean-Field Approximation and the Non-Linear Schrödinger
Functional for Trapped Bose Gases.” Transactions of the American Mathematical
Society, vol. 368, no. 9, American Mathematical Society, 2016, pp. 6131–57,
doi:10.1090/tran/6537.
short: M. Lewin, P. Nam, N. Rougerie, Transactions of the American Mathematical
Society 368 (2016) 6131–6157.
date_created: 2018-12-11T11:52:20Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2021-01-12T06:51:07Z
day: '01'
department:
- _id: RoSe
doi: 10.1090/tran/6537
intvolume: ' 368'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1405.3220
month: '01'
oa: 1
oa_version: Submitted Version
page: 6131 - 6157
publication: Transactions of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '5692'
quality_controlled: '1'
scopus_import: 1
status: public
title: The mean-field approximation and the non-linear Schrödinger functional for
trapped Bose gases
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 368
year: '2016'
...
---
_id: '1493'
abstract:
- lang: eng
text: We introduce a new method for deriving the time-dependent Hartree or Hartree-Fock
equations as an effective mean-field dynamics from the microscopic Schrödinger
equation for fermionic many-particle systems in quantum mechanics. The method
is an adaption of the method used in Pickl (Lett. Math. Phys. 97 (2) 151–164 2011)
for bosonic systems to fermionic systems. It is based on a Gronwall type estimate
for a suitable measure of distance between the microscopic solution and an antisymmetrized
product state. We use this method to treat a new mean-field limit for fermions
with long-range interactions in a large volume. Some of our results hold for singular
attractive or repulsive interactions. We can also treat Coulomb interaction assuming
either a mild singularity cutoff or certain regularity conditions on the solutions
to the Hartree(-Fock) equations. In the considered limit, the kinetic and interaction
energy are of the same order, while the average force is subleading. For some
interactions, we prove that the Hartree(-Fock) dynamics is a more accurate approximation
than a simpler dynamics that one would expect from the subleading force. With
our method we also treat the mean-field limit coupled to a semiclassical limit,
which was discussed in the literature before, and we recover some of the previous
results. All results hold for initial data close (but not necessarily equal) to
antisymmetrized product states and we always provide explicit rates of convergence.
acknowledgement: 'Open access funding provided by Institute of Science and Technology
(IST Austria). '
article_number: '3'
article_processing_charge: Yes (via OA deal)
author:
- first_name: Sören P
full_name: Petrat, Sören P
id: 40AC02DC-F248-11E8-B48F-1D18A9856A87
last_name: Petrat
orcid: 0000-0002-9166-5889
- first_name: Peter
full_name: Pickl, Peter
last_name: Pickl
citation:
ama: Petrat SP, Pickl P. A new method and a new scaling for deriving fermionic mean-field
dynamics. Mathematical Physics, Analysis and Geometry. 2016;19(1). doi:10.1007/s11040-016-9204-2
apa: Petrat, S. P., & Pickl, P. (2016). A new method and a new scaling for deriving
fermionic mean-field dynamics. Mathematical Physics, Analysis and Geometry.
Springer. https://doi.org/10.1007/s11040-016-9204-2
chicago: Petrat, Sören P, and Peter Pickl. “A New Method and a New Scaling for Deriving
Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry.
Springer, 2016. https://doi.org/10.1007/s11040-016-9204-2.
ieee: S. P. Petrat and P. Pickl, “A new method and a new scaling for deriving fermionic
mean-field dynamics,” Mathematical Physics, Analysis and Geometry, vol.
19, no. 1. Springer, 2016.
ista: Petrat SP, Pickl P. 2016. A new method and a new scaling for deriving fermionic
mean-field dynamics. Mathematical Physics, Analysis and Geometry. 19(1), 3.
mla: Petrat, Sören P., and Peter Pickl. “A New Method and a New Scaling for Deriving
Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry,
vol. 19, no. 1, 3, Springer, 2016, doi:10.1007/s11040-016-9204-2.
short: S.P. Petrat, P. Pickl, Mathematical Physics, Analysis and Geometry 19 (2016).
date_created: 2018-12-11T11:52:20Z
date_published: 2016-03-01T00:00:00Z
date_updated: 2021-01-12T06:51:08Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1007/s11040-016-9204-2
ec_funded: 1
file:
- access_level: open_access
checksum: eb5d2145ef0d377c4f78bf06e18f4529
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:55Z
date_updated: 2020-07-14T12:44:58Z
file_id: '5246'
file_name: IST-2016-514-v1+1_s11040-016-9204-2.pdf
file_size: 911310
relation: main_file
file_date_updated: 2020-07-14T12:44:58Z
has_accepted_license: '1'
intvolume: ' 19'
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Mathematical Physics, Analysis and Geometry
publication_status: published
publisher: Springer
publist_id: '5690'
pubrep_id: '514'
quality_controlled: '1'
scopus_import: 1
status: public
title: A new method and a new scaling for deriving fermionic mean-field dynamics
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2016'
...
---
_id: '1545'
abstract:
- lang: eng
text: We provide general conditions for which bosonic quadratic Hamiltonians on
Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover
the case when quantum systems have infinite degrees of freedom and the associated
one-body kinetic and paring operators are unbounded. Our sufficient conditions
are optimal in the sense that they become necessary when the relevant one-body
operators commute.
acknowledgement: We thank Jan Dereziński for several inspiring discussions and useful
remarks. We thank the referee for helpful comments. J.P.S. thanks the Erwin Schrödinger
Institute for the hospitality during the thematic programme “Quantum many-body systems,
random matrices, and disorder”. We gratefully acknowledge the financial supports
by the European Union's Seventh Framework Programme under the ERC Advanced Grant
ERC-2012-AdG 321029 (J.P.S.) and the REA grant agreement No. 291734 (P.T.N.), as
well as the support of the National Science Center (NCN) grant No. 2012/07/N/ST1/03185
and the Austrian Science Fund (FWF) project No. P 27533-N27 (M.N.).
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
- first_name: Jan
full_name: Solovej, Jan
last_name: Solovej
citation:
ama: Nam P, Napiórkowski MM, Solovej J. Diagonalization of bosonic quadratic Hamiltonians
by Bogoliubov transformations. Journal of Functional Analysis. 2016;270(11):4340-4368.
doi:10.1016/j.jfa.2015.12.007
apa: Nam, P., Napiórkowski, M. M., & Solovej, J. (2016). Diagonalization of
bosonic quadratic Hamiltonians by Bogoliubov transformations. Journal of Functional
Analysis. Academic Press. https://doi.org/10.1016/j.jfa.2015.12.007
chicago: Nam, Phan, Marcin M Napiórkowski, and Jan Solovej. “Diagonalization of
Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” Journal of Functional
Analysis. Academic Press, 2016. https://doi.org/10.1016/j.jfa.2015.12.007.
ieee: P. Nam, M. M. Napiórkowski, and J. Solovej, “Diagonalization of bosonic quadratic
Hamiltonians by Bogoliubov transformations,” Journal of Functional Analysis,
vol. 270, no. 11. Academic Press, pp. 4340–4368, 2016.
ista: Nam P, Napiórkowski MM, Solovej J. 2016. Diagonalization of bosonic quadratic
Hamiltonians by Bogoliubov transformations. Journal of Functional Analysis. 270(11),
4340–4368.
mla: Nam, Phan, et al. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov
Transformations.” Journal of Functional Analysis, vol. 270, no. 11, Academic
Press, 2016, pp. 4340–68, doi:10.1016/j.jfa.2015.12.007.
short: P. Nam, M.M. Napiórkowski, J. Solovej, Journal of Functional Analysis 270
(2016) 4340–4368.
date_created: 2018-12-11T11:52:38Z
date_published: 2016-06-01T00:00:00Z
date_updated: 2021-01-12T06:51:30Z
day: '01'
department:
- _id: RoSe
doi: 10.1016/j.jfa.2015.12.007
ec_funded: 1
intvolume: ' 270'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1508.07321
month: '06'
oa: 1
oa_version: Submitted Version
page: 4340 - 4368
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Journal of Functional Analysis
publication_status: published
publisher: Academic Press
publist_id: '5626'
quality_controlled: '1'
scopus_import: 1
status: public
title: Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 270
year: '2016'
...
---
_id: '1620'
abstract:
- lang: eng
text: We consider the Bardeen–Cooper–Schrieffer free energy functional for particles
interacting via a two-body potential on a microscopic scale and in the presence
of weak external fields varying on a macroscopic scale. We study the influence
of the external fields on the critical temperature. We show that in the limit
where the ratio between the microscopic and macroscopic scale tends to zero, the
next to leading order of the critical temperature is determined by the lowest
eigenvalue of the linearization of the Ginzburg–Landau equation.
acknowledgement: The authors are grateful to I. M. Sigal for useful discussions. Financial
support from the US National Science Foundation through Grants PHY-1347399 and DMS-1363432
(R.L.F.), from the Danish council for independent research and from ERC Advanced
Grant 321029 (J.P.S.) is acknowledged.
author:
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jan
full_name: Solovej, Jan
last_name: Solovej
citation:
ama: Frank R, Hainzl C, Seiringer R, Solovej J. The external field dependence of
the BCS critical temperature. Communications in Mathematical Physics. 2016;342(1):189-216.
doi:10.1007/s00220-015-2526-2
apa: Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2016). The external
field dependence of the BCS critical temperature. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-015-2526-2
chicago: Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “The
External Field Dependence of the BCS Critical Temperature.” Communications
in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-015-2526-2.
ieee: R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “The external field dependence
of the BCS critical temperature,” Communications in Mathematical Physics,
vol. 342, no. 1. Springer, pp. 189–216, 2016.
ista: Frank R, Hainzl C, Seiringer R, Solovej J. 2016. The external field dependence
of the BCS critical temperature. Communications in Mathematical Physics. 342(1),
189–216.
mla: Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.”
Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016,
pp. 189–216, doi:10.1007/s00220-015-2526-2.
short: R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical
Physics 342 (2016) 189–216.
date_created: 2018-12-11T11:53:04Z
date_published: 2016-02-01T00:00:00Z
date_updated: 2021-01-12T06:52:03Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00220-015-2526-2
intvolume: ' 342'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1410.2352
month: '02'
oa: 1
oa_version: Submitted Version
page: 189 - 216
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5546'
quality_controlled: '1'
scopus_import: 1
status: public
title: The external field dependence of the BCS critical temperature
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 342
year: '2016'
...
---
_id: '1622'
abstract:
- lang: eng
text: We prove analogues of the Lieb–Thirring and Hardy–Lieb–Thirring inequalities
for many-body quantum systems with fractional kinetic operators and homogeneous
interaction potentials, where no anti-symmetry on the wave functions is assumed.
These many-body inequalities imply interesting one-body interpolation inequalities,
and we show that the corresponding one- and many-body inequalities are actually
equivalent in certain cases.
acknowledgement: "We thank Jan Philip Solovej, Robert Seiringer and Vladimir Maz’ya
for helpful discussions, as well as Rupert Frank\r\nand the anonymous referee for
useful comments. Part of this work has been carried out during a visit at the Institut
Mittag-Leffler (Stockholm). D.L. acknowledges financial support by the grant KAW
2010.0063 from the Knut and Alice Wallenberg Foundation and the Swedish Research
Council grant no. 2013-4734. P.T.N. is supported by the People Programme (Marie
Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013)
under REA grant agreement no. 291734. F.P. acknowledges support from the ERC project
no. 321029 “The\r\nmathematics of the structure of matter”."
author:
- first_name: Douglas
full_name: Lundholm, Douglas
last_name: Lundholm
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Fabian
full_name: Portmann, Fabian
last_name: Portmann
citation:
ama: Lundholm D, Nam P, Portmann F. Fractional Hardy–Lieb–Thirring and related Inequalities
for interacting systems. Archive for Rational Mechanics and Analysis. 2016;219(3):1343-1382.
doi:10.1007/s00205-015-0923-5
apa: Lundholm, D., Nam, P., & Portmann, F. (2016). Fractional Hardy–Lieb–Thirring
and related Inequalities for interacting systems. Archive for Rational Mechanics
and Analysis. Springer. https://doi.org/10.1007/s00205-015-0923-5
chicago: Lundholm, Douglas, Phan Nam, and Fabian Portmann. “Fractional Hardy–Lieb–Thirring
and Related Inequalities for Interacting Systems.” Archive for Rational Mechanics
and Analysis. Springer, 2016. https://doi.org/10.1007/s00205-015-0923-5.
ieee: D. Lundholm, P. Nam, and F. Portmann, “Fractional Hardy–Lieb–Thirring and
related Inequalities for interacting systems,” Archive for Rational Mechanics
and Analysis, vol. 219, no. 3. Springer, pp. 1343–1382, 2016.
ista: Lundholm D, Nam P, Portmann F. 2016. Fractional Hardy–Lieb–Thirring and related
Inequalities for interacting systems. Archive for Rational Mechanics and Analysis.
219(3), 1343–1382.
mla: Lundholm, Douglas, et al. “Fractional Hardy–Lieb–Thirring and Related Inequalities
for Interacting Systems.” Archive for Rational Mechanics and Analysis,
vol. 219, no. 3, Springer, 2016, pp. 1343–82, doi:10.1007/s00205-015-0923-5.
short: D. Lundholm, P. Nam, F. Portmann, Archive for Rational Mechanics and Analysis
219 (2016) 1343–1382.
date_created: 2018-12-11T11:53:05Z
date_published: 2016-03-01T00:00:00Z
date_updated: 2021-01-12T06:52:04Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00205-015-0923-5
ec_funded: 1
intvolume: ' 219'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1501.04570
month: '03'
oa: 1
oa_version: Submitted Version
page: 1343 - 1382
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Archive for Rational Mechanics and Analysis
publication_status: published
publisher: Springer
publist_id: '5542'
quality_controlled: '1'
scopus_import: 1
status: public
title: Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 219
year: '2016'
...
---
_id: '1422'
abstract:
- lang: eng
text: We study the time-dependent Bogoliubov–de-Gennes equations for generic translation-invariant
fermionic many-body systems. For initial states that are close to thermal equilibrium
states at temperatures near the critical temperature, we show that the magnitude
of the order parameter stays approximately constant in time and, in particular,
does not follow a time-dependent Ginzburg–Landau equation, which is often employed
as a phenomenological description and predicts a decay of the order parameter
in time. The full non-linear structure of the equations is necessary to understand
this behavior.
acknowledgement: 'Open access funding provided by Institute of Science and Technology
(IST Austria). '
article_processing_charge: Yes (via OA deal)
author:
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Hainzl C, Schlein B, Seiringer R. Incompatibility of time-dependent
Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical
Physics. 2016;106(7):913-923. doi:10.1007/s11005-016-0847-5
apa: Frank, R., Hainzl, C., Schlein, B., & Seiringer, R. (2016). Incompatibility
of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters
in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0847-5
chicago: Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer.
“Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.”
Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0847-5.
ieee: R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent
Bogoliubov–de-Gennes and Ginzburg–Landau equations,” Letters in Mathematical
Physics, vol. 106, no. 7. Springer, pp. 913–923, 2016.
ista: Frank R, Hainzl C, Schlein B, Seiringer R. 2016. Incompatibility of time-dependent
Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics.
106(7), 913–923.
mla: Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes
and Ginzburg–Landau Equations.” Letters in Mathematical Physics, vol. 106,
no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5.
short: R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics
106 (2016) 913–923.
date_created: 2018-12-11T11:51:56Z
date_published: 2016-07-01T00:00:00Z
date_updated: 2021-01-12T06:50:38Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1007/s11005-016-0847-5
file:
- access_level: open_access
checksum: fb404923d8ca9a1faeb949561f26cbea
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:15:57Z
date_updated: 2020-07-14T12:44:53Z
file_id: '5181'
file_name: IST-2016-591-v1+1_s11005-016-0847-5.pdf
file_size: 458968
relation: main_file
file_date_updated: 2020-07-14T12:44:53Z
has_accepted_license: '1'
intvolume: ' 106'
issue: '7'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 913 - 923
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5785'
pubrep_id: '591'
quality_controlled: '1'
scopus_import: 1
status: public
title: Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau
equations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 106
year: '2016'
...
---
_id: '1428'
abstract:
- lang: eng
text: We report on a mathematically rigorous analysis of the superfluid properties
of a Bose- Einstein condensate in the many-body ground state of a one-dimensional
model of interacting bosons in a random potential.
article_number: '012016'
author:
- first_name: Martin
full_name: Könenberg, Martin
last_name: Könenberg
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: 'Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluidity and BEC in a
Model of Interacting Bosons in a Random Potential. In: Journal of Physics:
Conference Series. Vol 691. IOP Publishing Ltd.; 2016. doi:10.1088/1742-6596/691/1/012016'
apa: 'Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2016). Superfluidity
and BEC in a Model of Interacting Bosons in a Random Potential. In Journal
of Physics: Conference Series (Vol. 691). Shanghai, China: IOP Publishing
Ltd. https://doi.org/10.1088/1742-6596/691/1/012016'
chicago: 'Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason.
“Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.”
In Journal of Physics: Conference Series, Vol. 691. IOP Publishing Ltd.,
2016. https://doi.org/10.1088/1742-6596/691/1/012016.'
ieee: 'M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluidity and
BEC in a Model of Interacting Bosons in a Random Potential,” in Journal of
Physics: Conference Series, Shanghai, China, 2016, vol. 691, no. 1.'
ista: 'Könenberg M, Moser T, Seiringer R, Yngvason J. 2016. Superfluidity and BEC
in a Model of Interacting Bosons in a Random Potential. Journal of Physics: Conference
Series. 24th International Laser Physics Workshop (LPHYS’15) vol. 691, 012016.'
mla: 'Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting
Bosons in a Random Potential.” Journal of Physics: Conference Series, vol.
691, no. 1, 012016, IOP Publishing Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.'
short: 'M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics:
Conference Series, IOP Publishing Ltd., 2016.'
conference:
end_date: 2015-08-25
location: Shanghai, China
name: 24th International Laser Physics Workshop (LPHYS'15)
start_date: 2015-08-21
date_created: 2018-12-11T11:51:58Z
date_published: 2016-03-07T00:00:00Z
date_updated: 2021-01-12T06:50:40Z
day: '07'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1088/1742-6596/691/1/012016
file:
- access_level: open_access
checksum: 109db801749072c3f6c8f1a1848700fa
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:10:55Z
date_updated: 2020-07-14T12:44:53Z
file_id: '4847'
file_name: IST-2016-585-v1+1_JPCS_691_1_012016.pdf
file_size: 1434688
relation: main_file
file_date_updated: 2020-07-14T12:44:53Z
has_accepted_license: '1'
intvolume: ' 691'
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: 'Journal of Physics: Conference Series'
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '5770'
pubrep_id: '585'
quality_controlled: '1'
scopus_import: 1
status: public
title: Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 691
year: '2016'
...
---
_id: '1436'
abstract:
- lang: eng
text: We study the time evolution of a system of N spinless fermions in R3 which
interact through a pair potential, e.g., the Coulomb potential. We compare the
dynamics given by the solution to Schrödinger's equation with the time-dependent
Hartree-Fock approximation, and we give an estimate for the accuracy of this approximation
in terms of the kinetic energy of the system. This leads, in turn, to bounds in
terms of the initial total energy of the system.
author:
- first_name: Volker
full_name: Bach, Volker
last_name: Bach
- first_name: Sébastien
full_name: Breteaux, Sébastien
last_name: Breteaux
- first_name: Sören P
full_name: Petrat, Sören P
id: 40AC02DC-F248-11E8-B48F-1D18A9856A87
last_name: Petrat
orcid: 0000-0002-9166-5889
- first_name: Peter
full_name: Pickl, Peter
last_name: Pickl
- first_name: Tim
full_name: Tzaneteas, Tim
last_name: Tzaneteas
citation:
ama: Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. Kinetic energy estimates
for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb
interaction. Journal de Mathématiques Pures et Appliquées. 2016;105(1):1-30.
doi:10.1016/j.matpur.2015.09.003
apa: Bach, V., Breteaux, S., Petrat, S. P., Pickl, P., & Tzaneteas, T. (2016).
Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation
with Coulomb interaction. Journal de Mathématiques Pures et Appliquées.
Elsevier. https://doi.org/10.1016/j.matpur.2015.09.003
chicago: Bach, Volker, Sébastien Breteaux, Sören P Petrat, Peter Pickl, and Tim
Tzaneteas. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock
Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et
Appliquées. Elsevier, 2016. https://doi.org/10.1016/j.matpur.2015.09.003.
ieee: V. Bach, S. Breteaux, S. P. Petrat, P. Pickl, and T. Tzaneteas, “Kinetic energy
estimates for the accuracy of the time-dependent Hartree-Fock approximation with
Coulomb interaction,” Journal de Mathématiques Pures et Appliquées, vol.
105, no. 1. Elsevier, pp. 1–30, 2016.
ista: Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. 2016. Kinetic energy
estimates for the accuracy of the time-dependent Hartree-Fock approximation with
Coulomb interaction. Journal de Mathématiques Pures et Appliquées. 105(1), 1–30.
mla: Bach, Volker, et al. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent
Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques
Pures et Appliquées, vol. 105, no. 1, Elsevier, 2016, pp. 1–30, doi:10.1016/j.matpur.2015.09.003.
short: V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques
Pures et Appliquées 105 (2016) 1–30.
date_created: 2018-12-11T11:52:00Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2021-01-12T06:50:43Z
day: '01'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1016/j.matpur.2015.09.003
ec_funded: 1
file:
- access_level: open_access
checksum: c5afe1f6935bc7f2b546adbde1d31a35
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:10:36Z
date_updated: 2020-07-14T12:44:54Z
file_id: '4825'
file_name: IST-2016-581-v1+1_1-s2.0-S0021782415001191-main.pdf
file_size: 658491
relation: main_file
file_date_updated: 2020-07-14T12:44:54Z
has_accepted_license: '1'
intvolume: ' 105'
issue: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '01'
oa: 1
oa_version: Published Version
page: 1 - 30
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Journal de Mathématiques Pures et Appliquées
publication_status: published
publisher: Elsevier
publist_id: '5763'
pubrep_id: '581'
quality_controlled: '1'
scopus_import: 1
status: public
title: Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock
approximation with Coulomb interaction
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 105
year: '2016'
...
---
_id: '1478'
abstract:
- lang: eng
text: We consider the Tonks-Girardeau gas subject to a random external potential.
If the disorder is such that the underlying one-particle Hamiltonian displays
localization (which is known to be generically the case), we show that there is
exponential decay of correlations in the many-body eigenstates. Moreover, there
is no Bose-Einstein condensation and no superfluidity, even at zero temperature.
article_number: '035002'
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Simone
full_name: Warzel, Simone
last_name: Warzel
citation:
ama: Seiringer R, Warzel S. Decay of correlations and absence of superfluidity in
the disordered Tonks-Girardeau gas. New Journal of Physics. 2016;18(3).
doi:10.1088/1367-2630/18/3/035002
apa: Seiringer, R., & Warzel, S. (2016). Decay of correlations and absence of
superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics.
IOP Publishing Ltd. https://doi.org/10.1088/1367-2630/18/3/035002
chicago: Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence
of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics.
IOP Publishing Ltd., 2016. https://doi.org/10.1088/1367-2630/18/3/035002.
ieee: R. Seiringer and S. Warzel, “Decay of correlations and absence of superfluidity
in the disordered Tonks-Girardeau gas,” New Journal of Physics, vol. 18,
no. 3. IOP Publishing Ltd., 2016.
ista: Seiringer R, Warzel S. 2016. Decay of correlations and absence of superfluidity
in the disordered Tonks-Girardeau gas. New Journal of Physics. 18(3), 035002.
mla: Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of
Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics,
vol. 18, no. 3, 035002, IOP Publishing Ltd., 2016, doi:10.1088/1367-2630/18/3/035002.
short: R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
date_created: 2018-12-11T11:52:15Z
date_published: 2016-02-29T00:00:00Z
date_updated: 2021-01-12T06:51:01Z
day: '29'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1088/1367-2630/18/3/035002
file:
- access_level: open_access
checksum: 4f959eabc19d2a2f518318a450a4d424
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:22Z
date_updated: 2020-07-14T12:44:56Z
file_id: '5276'
file_name: IST-2016-579-v1+1_njp_18_3_035002.pdf
file_size: 965607
relation: main_file
file_date_updated: 2020-07-14T12:44:56Z
has_accepted_license: '1'
intvolume: ' 18'
issue: '3'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: New Journal of Physics
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '5716'
pubrep_id: '579'
quality_controlled: '1'
scopus_import: 1
status: public
title: Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau
gas
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2016'
...
---
_id: '1143'
abstract:
- lang: eng
text: We study the ground state of a dilute Bose gas in a scaling limit where the
Gross-Pitaevskii functional emerges. This is a repulsive nonlinear Schrödinger
functional whose quartic term is proportional to the scattering length of the
interparticle interaction potential. We propose a new derivation of this limit
problem, with a method that bypasses some of the technical difficulties that previous
derivations had to face. The new method is based on a combination of Dyson\'s
lemma, the quantum de Finetti theorem and a second moment estimate for ground
states of the effective Dyson Hamiltonian. It applies equally well to the case
where magnetic fields or rotation are present.
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Nicolas
full_name: Rougerie, Nicolas
last_name: Rougerie
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The
gross Pitaevskii limit revisited. Analysis and PDE. 2016;9(2):459-485.
doi:10.2140/apde.2016.9.459'
apa: 'Nam, P., Rougerie, N., & Seiringer, R. (2016). Ground states of large
bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE.
Mathematical Sciences Publishers. https://doi.org/10.2140/apde.2016.9.459'
chicago: 'Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large
Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE.
Mathematical Sciences Publishers, 2016. https://doi.org/10.2140/apde.2016.9.459.'
ieee: 'P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems:
The gross Pitaevskii limit revisited,” Analysis and PDE, vol. 9, no. 2.
Mathematical Sciences Publishers, pp. 459–485, 2016.'
ista: 'Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems:
The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485.'
mla: 'Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii
Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences
Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.'
short: P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
date_created: 2018-12-11T11:50:23Z
date_published: 2016-03-24T00:00:00Z
date_updated: 2021-01-12T06:48:36Z
day: '24'
department:
- _id: RoSe
doi: 10.2140/apde.2016.9.459
ec_funded: 1
intvolume: ' 9'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1503.07061
month: '03'
oa: 1
oa_version: Preprint
page: 459 - 485
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Analysis and PDE
publication_status: published
publisher: Mathematical Sciences Publishers
publist_id: '6215'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'Ground states of large bosonic systems: The gross Pitaevskii limit revisited'
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2016'
...
---
_id: '1572'
abstract:
- lang: eng
text: "We consider the quantum ferromagnetic Heisenberg model in three dimensions,
for all spins S ≥ 1/2. We rigorously prove the validity of the spin-wave approximation
for the excitation spectrum, at the level of the first non-trivial contribution
to the free energy at low temperatures. Our proof comes with explicit, constructive
upper and lower bounds on the error term. It uses in an essential way the bosonic
formulation of the model in terms of the Holstein-Primakoff representation. In
this language, the model describes interacting bosons with a hard-core on-site
repulsion and a nearest-neighbor attraction. This attractive interaction makes
the lower bound on the free energy particularly tricky: the key idea there is
to prove a differential inequality for the two-particle density, which is thereby
shown to be smaller than the probability density of a suitably weighted two-particle
random process on the lattice.\r\n"
author:
- first_name: Michele
full_name: Correggi, Michele
last_name: Correggi
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Correggi M, Giuliani A, Seiringer R. Validity of the spin-wave approximation
for the free energy of the Heisenberg ferromagnet. Communications in Mathematical
Physics. 2015;339(1):279-307. doi:10.1007/s00220-015-2402-0
apa: Correggi, M., Giuliani, A., & Seiringer, R. (2015). Validity of the spin-wave
approximation for the free energy of the Heisenberg ferromagnet. Communications
in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-015-2402-0
chicago: Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity
of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.”
Communications in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s00220-015-2402-0.
ieee: M. Correggi, A. Giuliani, and R. Seiringer, “Validity of the spin-wave approximation
for the free energy of the Heisenberg ferromagnet,” Communications in Mathematical
Physics, vol. 339, no. 1. Springer, pp. 279–307, 2015.
ista: Correggi M, Giuliani A, Seiringer R. 2015. Validity of the spin-wave approximation
for the free energy of the Heisenberg ferromagnet. Communications in Mathematical
Physics. 339(1), 279–307.
mla: Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the
Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical
Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0.
short: M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics
339 (2015) 279–307.
date_created: 2018-12-11T11:52:47Z
date_published: 2015-06-23T00:00:00Z
date_updated: 2021-01-12T06:51:41Z
day: '23'
department:
- _id: RoSe
doi: 10.1007/s00220-015-2402-0
intvolume: ' 339'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1312.7873
month: '06'
oa: 1
oa_version: Preprint
page: 279 - 307
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5599'
quality_controlled: '1'
scopus_import: 1
status: public
title: Validity of the spin-wave approximation for the free energy of the Heisenberg
ferromagnet
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 339
year: '2015'
...
---
_id: '1573'
abstract:
- lang: eng
text: We present a new, simpler proof of the unconditional uniqueness of solutions
to the cubic Gross-Pitaevskii hierarchy in ℝ3. One of the main tools in our analysis
is the quantum de Finetti theorem. Our uniqueness result is equivalent to the
one established in the celebrated works of Erdos, Schlein, and Yau.
author:
- first_name: Thomas
full_name: Chen, Thomas
last_name: Chen
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Nataša
full_name: Pavlović, Nataša
last_name: Pavlović
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Chen T, Hainzl C, Pavlović N, Seiringer R. Unconditional uniqueness for the
cubic gross pitaevskii hierarchy via quantum de finetti. Communications on
Pure and Applied Mathematics. 2015;68(10):1845-1884. doi:10.1002/cpa.21552
apa: Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2015). Unconditional
uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications
on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21552
chicago: Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer.
“Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum
de Finetti.” Communications on Pure and Applied Mathematics. Wiley, 2015.
https://doi.org/10.1002/cpa.21552.
ieee: T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness
for the cubic gross pitaevskii hierarchy via quantum de finetti,” Communications
on Pure and Applied Mathematics, vol. 68, no. 10. Wiley, pp. 1845–1884, 2015.
ista: Chen T, Hainzl C, Pavlović N, Seiringer R. 2015. Unconditional uniqueness
for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications
on Pure and Applied Mathematics. 68(10), 1845–1884.
mla: Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii
Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics,
vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552.
short: T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and
Applied Mathematics 68 (2015) 1845–1884.
date_created: 2018-12-11T11:52:48Z
date_published: 2015-10-01T00:00:00Z
date_updated: 2021-01-12T06:51:41Z
day: '01'
department:
- _id: RoSe
doi: 10.1002/cpa.21552
intvolume: ' 68'
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1307.3168
month: '10'
oa: 1
oa_version: Preprint
page: 1845 - 1884
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Communications on Pure and Applied Mathematics
publication_status: published
publisher: Wiley
publist_id: '5598'
quality_controlled: '1'
scopus_import: 1
status: public
title: Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum
de finetti
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 68
year: '2015'
...
---
_id: '1704'
abstract:
- lang: eng
text: Given a convex function (Formula presented.) and two hermitian matrices A
and B, Lewin and Sabin study in (Lett Math Phys 104:691–705, 2014) the relative
entropy defined by (Formula presented.). Among other things, they prove that the
so-defined quantity is monotone if and only if (Formula presented.) is operator
monotone. The monotonicity is then used to properly define (Formula presented.)
for bounded self-adjoint operators acting on an infinite-dimensional Hilbert space
by a limiting procedure. More precisely, for an increasing sequence of finite-dimensional
projections (Formula presented.) with (Formula presented.) strongly, the limit
(Formula presented.) is shown to exist and to be independent of the sequence of
projections (Formula presented.). The question whether this sequence converges
to its "obvious" limit, namely (Formula presented.), has been left open.
We answer this question in principle affirmatively and show that (Formula presented.).
If the operators A and B are regular enough, that is (A − B), (Formula presented.)
and (Formula presented.) are trace-class, the identity (Formula presented.) holds.
author:
- first_name: Andreas
full_name: Deuchert, Andreas
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Deuchert A, Hainzl C, Seiringer R. Note on a family of monotone quantum relative
entropies. Letters in Mathematical Physics. 2015;105(10):1449-1466. doi:10.1007/s11005-015-0787-5
apa: Deuchert, A., Hainzl, C., & Seiringer, R. (2015). Note on a family of monotone
quantum relative entropies. Letters in Mathematical Physics. Springer.
https://doi.org/10.1007/s11005-015-0787-5
chicago: Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family
of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics.
Springer, 2015. https://doi.org/10.1007/s11005-015-0787-5.
ieee: A. Deuchert, C. Hainzl, and R. Seiringer, “Note on a family of monotone quantum
relative entropies,” Letters in Mathematical Physics, vol. 105, no. 10.
Springer, pp. 1449–1466, 2015.
ista: Deuchert A, Hainzl C, Seiringer R. 2015. Note on a family of monotone quantum
relative entropies. Letters in Mathematical Physics. 105(10), 1449–1466.
mla: Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.”
Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp.
1449–66, doi:10.1007/s11005-015-0787-5.
short: A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105
(2015) 1449–1466.
date_created: 2018-12-11T11:53:34Z
date_published: 2015-08-05T00:00:00Z
date_updated: 2021-01-12T06:52:38Z
day: '05'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-015-0787-5
file:
- access_level: open_access
checksum: fd7307282a314cc1fbbaef77b187516b
content_type: application/pdf
creator: dernst
date_created: 2019-01-15T14:42:07Z
date_updated: 2020-07-14T12:45:13Z
file_id: '5836'
file_name: 2015_LettersMathPhys_Deuchert.pdf
file_size: 484967
relation: main_file
file_date_updated: 2020-07-14T12:45:13Z
has_accepted_license: '1'
intvolume: ' 105'
issue: '10'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1502.07205
month: '08'
oa: 1
oa_version: Preprint
page: 1449 - 1466
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5432'
quality_controlled: '1'
scopus_import: 1
status: public
title: Note on a family of monotone quantum relative entropies
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 105
year: '2015'
...
---
_id: '1807'
abstract:
- lang: eng
text: We study a double Cahn-Hilliard type functional related to the Gross-Pitaevskii
energy of two-components Bose-Einstein condensates. In the case of large but same
order intercomponent and intracomponent coupling strengths, we prove Γ-convergence
to a perimeter minimisation functional with an inhomogeneous surface tension.
We study the asymptotic behavior of the surface tension as the ratio between the
intercomponent and intracomponent coupling strengths becomes very small or very
large and obtain good agreement with the physical literature. We obtain as a consequence,
symmetry breaking of the minimisers for the harmonic potential.
author:
- first_name: Michael
full_name: Goldman, Michael
last_name: Goldman
- first_name: Jimena
full_name: Royo-Letelier, Jimena
id: 4D3BED28-F248-11E8-B48F-1D18A9856A87
last_name: Royo-Letelier
citation:
ama: Goldman M, Royo-Letelier J. Sharp interface limit for two components Bose-Einstein
condensates. ESAIM - Control, Optimisation and Calculus of Variations.
2015;21(3):603-624. doi:10.1051/cocv/2014040
apa: Goldman, M., & Royo-Letelier, J. (2015). Sharp interface limit for two
components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus
of Variations. EDP Sciences. https://doi.org/10.1051/cocv/2014040
chicago: Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for
Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and
Calculus of Variations. EDP Sciences, 2015. https://doi.org/10.1051/cocv/2014040.
ieee: M. Goldman and J. Royo-Letelier, “Sharp interface limit for two components
Bose-Einstein condensates,” ESAIM - Control, Optimisation and Calculus of Variations,
vol. 21, no. 3. EDP Sciences, pp. 603–624, 2015.
ista: Goldman M, Royo-Letelier J. 2015. Sharp interface limit for two components
Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations.
21(3), 603–624.
mla: Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two
Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus
of Variations, vol. 21, no. 3, EDP Sciences, 2015, pp. 603–24, doi:10.1051/cocv/2014040.
short: M. Goldman, J. Royo-Letelier, ESAIM - Control, Optimisation and Calculus
of Variations 21 (2015) 603–624.
date_created: 2018-12-11T11:54:07Z
date_published: 2015-05-01T00:00:00Z
date_updated: 2021-01-12T06:53:20Z
day: '01'
department:
- _id: RoSe
doi: 10.1051/cocv/2014040
intvolume: ' 21'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1401.1727
month: '05'
oa: 1
oa_version: Preprint
page: 603 - 624
publication: ESAIM - Control, Optimisation and Calculus of Variations
publication_status: published
publisher: EDP Sciences
publist_id: '5303'
quality_controlled: '1'
scopus_import: 1
status: public
title: Sharp interface limit for two components Bose-Einstein condensates
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 21
year: '2015'
...