---
_id: '6649'
abstract:
- lang: eng
text: "While Hartree–Fock theory is well established as a fundamental approximation
for interacting fermions, it has been unclear how to describe corrections to it
due to many-body correlations. In this paper we start from the Hartree–Fock state
given by plane waves and introduce collective particle–hole pair excitations.
These pairs can be approximately described by a bosonic quadratic Hamiltonian.
We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type
upper bound to the ground state energy. Our result justifies the random-phase
approximation in the mean-field scaling regime, for repulsive, regular interaction
potentials.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Niels P
full_name: Benedikter, Niels P
id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
last_name: Benedikter
orcid: 0000-0002-1071-6091
- first_name: Phan Thành
full_name: Nam, Phan Thành
last_name: Nam
- first_name: Marcello
full_name: Porta, Marcello
last_name: Porta
- 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: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound
for the correlation energy of a Fermi gas in the mean-field regime. Communications
in Mathematical Physics. 2020;374:2097–2150. doi:10.1007/s00220-019-03505-5
apa: Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R.
(2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field
regime. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03505-5
chicago: Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein,
and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi
Gas in the Mean-Field Regime.” Communications in Mathematical Physics.
Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03505-5.
ieee: N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal
upper bound for the correlation energy of a Fermi gas in the mean-field regime,”
Communications in Mathematical Physics, vol. 374. Springer Nature, pp.
2097–2150, 2020.
ista: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper
bound for the correlation energy of a Fermi gas in the mean-field regime. Communications
in Mathematical Physics. 374, 2097–2150.
mla: Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy
of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics,
vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5.
short: N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications
in Mathematical Physics 374 (2020) 2097–2150.
date_created: 2019-07-18T13:30:04Z
date_published: 2020-03-01T00:00:00Z
date_updated: 2023-08-17T13:51:50Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00220-019-03505-5
ec_funded: 1
external_id:
arxiv:
- '1809.01902'
isi:
- '000527910700019'
file:
- access_level: open_access
checksum: f9dd6dd615a698f1d3636c4a092fed23
content_type: application/pdf
creator: dernst
date_created: 2019-07-24T07:19:10Z
date_updated: 2020-07-14T12:47:35Z
file_id: '6668'
file_name: 2019_CommMathPhysics_Benedikter.pdf
file_size: 853289
relation: main_file
file_date_updated: 2020-07-14T12:47:35Z
has_accepted_license: '1'
intvolume: ' 374'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 2097–2150
project:
- _id: 3AC91DDA-15DF-11EA-824D-93A3E7B544D1
call_identifier: FWF
name: FWF Open Access Fund
- _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: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Communications in Mathematical Physics
publication_identifier:
eissn:
- 1432-0916
issn:
- 0010-3616
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal upper bound for the correlation energy of a Fermi gas in the mean-field
regime
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 374
year: '2020'
...
---
_id: '80'
abstract:
- lang: eng
text: 'We consider an interacting, dilute Bose gas trapped in a harmonic potential
at a positive temperature. The system is analyzed in a combination of a thermodynamic
and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature
T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering
length is so small that the interaction energy per particle around the center
of the trap is of the same order of magnitude as the spectral gap in the trap.
We prove that the difference between the canonical free energy of the interacting
gas and the one of the noninteracting system can be obtained by minimizing the
GP energy functional. We also prove Bose–Einstein condensation in the following
sense: The one-particle density matrix of any approximate minimizer of the canonical
free energy functional is to leading order given by that of the noninteracting
gas but with the free condensate wavefunction replaced by the GP minimizer.'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
- 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: Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute,
trapped gas at positive temperature. Communications in Mathematical Physics.
2019;368(2):723-776. doi:10.1007/s00220-018-3239-0
apa: Deuchert, A., Seiringer, R., & Yngvason, J. (2019). Bose–Einstein condensation
in a dilute, trapped gas at positive temperature. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-018-3239-0
chicago: Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein
Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications
in Mathematical Physics. Springer, 2019. https://doi.org/10.1007/s00220-018-3239-0.
ieee: A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in
a dilute, trapped gas at positive temperature,” Communications in Mathematical
Physics, vol. 368, no. 2. Springer, pp. 723–776, 2019.
ista: Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a
dilute, trapped gas at positive temperature. Communications in Mathematical Physics.
368(2), 723–776.
mla: Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped
Gas at Positive Temperature.” Communications in Mathematical Physics, vol.
368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.
short: A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics
368 (2019) 723–776.
date_created: 2018-12-11T11:44:31Z
date_published: 2019-06-01T00:00:00Z
date_updated: 2023-08-24T14:27:51Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00220-018-3239-0
ec_funded: 1
external_id:
isi:
- '000467796800007'
file:
- access_level: open_access
checksum: c7e9880b43ac726712c1365e9f2f73a6
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T10:34:06Z
date_updated: 2020-07-14T12:48:07Z
file_id: '5688'
file_name: 2018_CommunMathPhys_Deuchert.pdf
file_size: 893902
relation: main_file
file_date_updated: 2020-07-14T12:48:07Z
has_accepted_license: '1'
intvolume: ' 368'
isi: 1
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 723-776
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _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: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '7974'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bose–Einstein condensation in a dilute, trapped gas at positive temperature
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 368
year: '2019'
...
---
_id: '5856'
abstract:
- lang: eng
text: We give a bound on the ground-state energy of a system of N non-interacting
fermions in a three-dimensional cubic box interacting with an impurity particle
via point interactions. We show that the change in energy compared to the system
in the absence of the impurity is bounded in terms of the gas density and the
scattering length of the interaction, independently of N. Our bound holds as long
as the ratio of the mass of the impurity to the one of the gas particles is larger
than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently
showed stability of the system.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
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. Energy contribution of a point-interacting impurity in
a Fermi gas. Annales Henri Poincare. 2019;20(4):1325–1365. doi:10.1007/s00023-018-00757-0
apa: Moser, T., & Seiringer, R. (2019). Energy contribution of a point-interacting
impurity in a Fermi gas. Annales Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-00757-0
chicago: Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting
Impurity in a Fermi Gas.” Annales Henri Poincare. Springer, 2019. https://doi.org/10.1007/s00023-018-00757-0.
ieee: T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity
in a Fermi gas,” Annales Henri Poincare, vol. 20, no. 4. Springer, pp.
1325–1365, 2019.
ista: Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity
in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.
mla: Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting
Impurity in a Fermi Gas.” Annales Henri Poincare, vol. 20, no. 4, Springer,
2019, pp. 1325–1365, doi:10.1007/s00023-018-00757-0.
short: T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.
date_created: 2019-01-20T22:59:17Z
date_published: 2019-04-01T00:00:00Z
date_updated: 2023-09-07T12:37:42Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00023-018-00757-0
ec_funded: 1
external_id:
arxiv:
- '1807.00739'
isi:
- '000462444300008'
file:
- access_level: open_access
checksum: 255e42f957a8e2b10aad2499c750a8d6
content_type: application/pdf
creator: dernst
date_created: 2019-01-28T15:27:17Z
date_updated: 2020-07-14T12:47:12Z
file_id: '5894'
file_name: 2019_Annales_Moser.pdf
file_size: 859846
relation: main_file
file_date_updated: 2020-07-14T12:47:12Z
has_accepted_license: '1'
intvolume: ' 20'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 1325–1365
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _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: Annales Henri Poincare
publication_identifier:
issn:
- '14240637'
publication_status: published
publisher: Springer
quality_controlled: '1'
related_material:
record:
- id: '52'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Energy contribution of a point-interacting impurity in a Fermi 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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 20
year: '2019'
...
---
_id: '295'
abstract:
- lang: eng
text: We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional
anyon gas. Our bounds are extensive in the particle number, as for fermions, and
linear in the statistics parameter (Formula presented.). The lower bounds extend
to Lieb–Thirring inequalities for all anyons except bosons.
acknowledgement: Financial support from the Swedish Research Council, grant no. 2013-4734
(D. L.), the European Research Council (ERC) under the European Union’s Horizon
2020 research and innovation programme (grant agreement No 694227, R. S.), and by
the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully
acknowledged.
article_processing_charge: No
arxiv: 1
author:
- first_name: Douglas
full_name: Lundholm, Douglas
last_name: Lundholm
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. Letters in
Mathematical Physics. 2018;108(11):2523-2541. doi:10.1007/s11005-018-1091-y
apa: Lundholm, D., & Seiringer, R. (2018). Fermionic behavior of ideal anyons.
Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-018-1091-y
chicago: Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.”
Letters in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s11005-018-1091-y.
ieee: D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters
in Mathematical Physics, vol. 108, no. 11. Springer, pp. 2523–2541, 2018.
ista: Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters
in Mathematical Physics. 108(11), 2523–2541.
mla: Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.”
Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp.
2523–41, doi:10.1007/s11005-018-1091-y.
short: D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
date_created: 2018-12-11T11:45:40Z
date_published: 2018-05-11T00:00:00Z
date_updated: 2023-09-11T14:01:57Z
day: '11'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-018-1091-y
ec_funded: 1
external_id:
arxiv:
- '1712.06218'
isi:
- '000446491500008'
file:
- access_level: open_access
checksum: 8beb9632fa41bbd19452f55f31286a31
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T12:14:17Z
date_updated: 2020-07-14T12:45:55Z
file_id: '5698'
file_name: 2018_LettMathPhys_Lundholm.pdf
file_size: 551996
relation: main_file
file_date_updated: 2020-07-14T12:45:55Z
has_accepted_license: '1'
intvolume: ' 108'
isi: 1
issue: '11'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 2523-2541
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _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: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '7586'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fermionic behavior of ideal anyons
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: 108
year: '2018'
...
---
_id: '180'
abstract:
- lang: eng
text: In this paper we define and study the classical Uniform Electron Gas (UEG),
a system of infinitely many electrons whose density is constant everywhere in
space. The UEG is defined differently from Jellium, which has a positive constant
background but no constraint on the density. We prove that the UEG arises in Density
Functional Theory in the limit of a slowly varying density, minimizing the indirect
Coulomb energy. We also construct the quantum UEG and compare it to the classical
UEG at low density.
acknowledgement: "This project has received funding from the European Research Council
(ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme
(grant agreement 694227 for R.S. and MDFT 725528 for M.L.). Financial support by
the Austrian Science Fund (FWF), project No P 27533-N27 (R.S.) and by the US National
Science Foundation, grant No PHY12-1265118 (E.H.L.) are gratefully acknowledged."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Mathieu
full_name: Lewi, Mathieu
last_name: Lewi
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lewi M, Lieb É, Seiringer R. Statistical mechanics of the uniform electron
gas. Journal de l’Ecole Polytechnique - Mathematiques. 2018;5:79-116. doi:10.5802/jep.64
apa: Lewi, M., Lieb, É., & Seiringer, R. (2018). Statistical mechanics of the
uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques.
Ecole Polytechnique. https://doi.org/10.5802/jep.64
chicago: Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics
of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques.
Ecole Polytechnique, 2018. https://doi.org/10.5802/jep.64.
ieee: M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform
electron gas,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5.
Ecole Polytechnique, pp. 79–116, 2018.
ista: Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron
gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.
mla: Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.”
Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique,
2018, pp. 79–116, doi:10.5802/jep.64.
short: M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques
5 (2018) 79–116.
date_created: 2018-12-11T11:45:03Z
date_published: 2018-07-01T00:00:00Z
date_updated: 2023-10-17T08:05:28Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.5802/jep.64
ec_funded: 1
external_id:
arxiv:
- '1705.10676'
file:
- access_level: open_access
checksum: 1ba7cccdf3900f42c4f715ae75d6813c
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T16:38:18Z
date_updated: 2020-07-14T12:45:16Z
file_id: '5726'
file_name: 2018_JournaldeLecoleMath_Lewi.pdf
file_size: 843938
relation: main_file
file_date_updated: 2020-07-14T12:45:16Z
has_accepted_license: '1'
intvolume: ' 5'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 79 - 116
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _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 de l'Ecole Polytechnique - Mathematiques
publication_identifier:
eissn:
- 2270-518X
issn:
- 2429-7100
publication_status: published
publisher: Ecole Polytechnique
publist_id: '7741'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Statistical mechanics of the uniform electron gas
tmp:
image: /image/cc_by_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5
year: '2018'
...
---
_id: '52'
abstract:
- lang: eng
text: In this thesis we will discuss systems of point interacting fermions, their
stability and other spectral properties. Whereas for bosons a point interacting
system is always unstable this ques- tion is more subtle for a gas of two species
of fermions. In particular the answer depends on the mass ratio between these
two species. Most of this work will be focused on the N + M model which consists
of two species of fermions with N, M particles respectively which interact via
point interactions. We will introduce this model using a formal limit and discuss
the N + 1 system in more detail. In particular, we will show that for mass ratios
above a critical one, which does not depend on the particle number, the N + 1
system is stable. In the context of this model we will prove rigorous versions
of Tan relations which relate various quantities of the point-interacting model.
By restricting the N + 1 system to a box we define a finite density model with
point in- teractions. In the context of this system we will discuss the energy
change when introducing a point-interacting impurity into a system of non-interacting
fermions. We will see that this change in energy is bounded independently of the
particle number and in particular the bound only depends on the density and the
scattering length. As another special case of the N + M model we will show stability
of the 2 + 2 model for mass ratios in an interval around one. Further we will
investigate a different model of point interactions which was discussed before
in the literature and which is, contrary to the N + M model, not given by a limiting
procedure but is based on a Dirichlet form. We will show that this system behaves
trivially in the thermodynamic limit, i.e. the free energy per particle is the
same as the one of the non-interacting system.
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
citation:
ama: Moser T. Point interactions in systems of fermions. 2018. doi:10.15479/AT:ISTA:th_1043
apa: Moser, T. (2018). Point interactions in systems of fermions. Institute
of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:th_1043
chicago: Moser, Thomas. “Point Interactions in Systems of Fermions.” Institute of
Science and Technology Austria, 2018. https://doi.org/10.15479/AT:ISTA:th_1043.
ieee: T. Moser, “Point interactions in systems of fermions,” Institute of Science
and Technology Austria, 2018.
ista: Moser T. 2018. Point interactions in systems of fermions. Institute of Science
and Technology Austria.
mla: Moser, Thomas. Point Interactions in Systems of Fermions. Institute
of Science and Technology Austria, 2018, doi:10.15479/AT:ISTA:th_1043.
short: T. Moser, Point Interactions in Systems of Fermions, Institute of Science
and Technology Austria, 2018.
date_created: 2018-12-11T11:44:22Z
date_published: 2018-09-04T00:00:00Z
date_updated: 2023-09-27T12:34:14Z
day: '04'
ddc:
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- '530'
- '519'
degree_awarded: PhD
department:
- _id: RoSe
doi: 10.15479/AT:ISTA:th_1043
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language:
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month: '09'
oa: 1
oa_version: Published Version
page: '115'
project:
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call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
publist_id: '8002'
pubrep_id: '1043'
related_material:
record:
- id: '5856'
relation: part_of_dissertation
status: public
- id: '154'
relation: part_of_dissertation
status: public
- id: '1198'
relation: part_of_dissertation
status: public
- id: '741'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
title: Point interactions in systems of fermions
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2018'
...
---
_id: '554'
abstract:
- lang: eng
text: We analyse the canonical Bogoliubov free energy functional in three dimensions
at low temperatures in the dilute limit. We prove existence of a first-order phase
transition and, in the limit (Formula presented.), we determine the critical temperature
to be (Formula presented.) to leading order. Here, (Formula presented.) is the
critical temperature of the free Bose gas, ρ is the density of the gas and a is
the scattering length of the pair-interaction potential V. We also prove asymptotic
expansions for the free energy. In particular, we recover the Lee–Huang–Yang formula
in the limit (Formula presented.).
arxiv: 1
author:
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
- first_name: Robin
full_name: Reuvers, Robin
last_name: Reuvers
- first_name: Jan
full_name: Solovej, Jan
last_name: Solovej
citation:
ama: 'Napiórkowski MM, Reuvers R, Solovej J. The Bogoliubov free energy functional
II: The dilute Limit. Communications in Mathematical Physics. 2018;360(1):347-403.
doi:10.1007/s00220-017-3064-x'
apa: 'Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). The Bogoliubov
free energy functional II: The dilute Limit. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-017-3064-x'
chicago: 'Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “The Bogoliubov
Free Energy Functional II: The Dilute Limit.” Communications in Mathematical
Physics. Springer, 2018. https://doi.org/10.1007/s00220-017-3064-x.'
ieee: 'M. M. Napiórkowski, R. Reuvers, and J. Solovej, “The Bogoliubov free energy
functional II: The dilute Limit,” Communications in Mathematical Physics,
vol. 360, no. 1. Springer, pp. 347–403, 2018.'
ista: 'Napiórkowski MM, Reuvers R, Solovej J. 2018. The Bogoliubov free energy functional
II: The dilute Limit. Communications in Mathematical Physics. 360(1), 347–403.'
mla: 'Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional II:
The Dilute Limit.” Communications in Mathematical Physics, vol. 360, no.
1, Springer, 2018, pp. 347–403, doi:10.1007/s00220-017-3064-x.'
short: M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical
Physics 360 (2018) 347–403.
date_created: 2018-12-11T11:47:09Z
date_published: 2018-05-01T00:00:00Z
date_updated: 2021-01-12T08:02:35Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00220-017-3064-x
external_id:
arxiv:
- '1511.05953'
intvolume: ' 360'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1511.05953
month: '05'
oa: 1
oa_version: Submitted Version
page: 347-403
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: Communications in Mathematical Physics
publication_identifier:
issn:
- '00103616'
publication_status: published
publisher: Springer
publist_id: '7260'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'The Bogoliubov free energy functional II: The dilute Limit'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 360
year: '2018'
...
---
_id: '6002'
abstract:
- lang: eng
text: The Bogoliubov free energy functional is analysed. The functional serves as
a model of a translation-invariant Bose gas at positive temperature. We prove
the existence of minimizers in the case of repulsive interactions given by a sufficiently
regular two-body potential. Furthermore, we prove the existence of a phase transition
in this model and provide its phase diagram.
article_processing_charge: No
arxiv: 1
author:
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
- first_name: Robin
full_name: Reuvers, Robin
last_name: Reuvers
- first_name: Jan Philip
full_name: Solovej, Jan Philip
last_name: Solovej
citation:
ama: 'Napiórkowski MM, Reuvers R, Solovej JP. The Bogoliubov free energy functional
I: Existence of minimizers and phase diagram. Archive for Rational Mechanics
and Analysis. 2018;229(3):1037-1090. doi:10.1007/s00205-018-1232-6'
apa: 'Napiórkowski, M. M., Reuvers, R., & Solovej, J. P. (2018). The Bogoliubov
free energy functional I: Existence of minimizers and phase diagram. Archive
for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-018-1232-6'
chicago: 'Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov
Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive
for Rational Mechanics and Analysis. Springer Nature, 2018. https://doi.org/10.1007/s00205-018-1232-6.'
ieee: 'M. M. Napiórkowski, R. Reuvers, and J. P. Solovej, “The Bogoliubov free energy
functional I: Existence of minimizers and phase diagram,” Archive for Rational
Mechanics and Analysis, vol. 229, no. 3. Springer Nature, pp. 1037–1090, 2018.'
ista: 'Napiórkowski MM, Reuvers R, Solovej JP. 2018. The Bogoliubov free energy
functional I: Existence of minimizers and phase diagram. Archive for Rational
Mechanics and Analysis. 229(3), 1037–1090.'
mla: 'Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I:
Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics
and Analysis, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:10.1007/s00205-018-1232-6.'
short: M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics
and Analysis 229 (2018) 1037–1090.
date_created: 2019-02-14T13:40:53Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2023-09-19T14:33:12Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00205-018-1232-6
external_id:
arxiv:
- '1511.05935'
isi:
- '000435367300003'
intvolume: ' 229'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1511.05935
month: '09'
oa: 1
oa_version: Preprint
page: 1037-1090
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: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The Bogoliubov free energy functional I: Existence of minimizers and phase
diagram'
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 229
year: '2018'
...
---
_id: '154'
abstract:
- lang: eng
text: We give a lower bound on the ground state energy of a system of two fermions
of one species interacting with two fermions of another species via point interactions.
We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is
stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was
not known whether this 2 + 2 system exhibits a stable region at all or whether
the formation of four-body bound states causes an unbounded spectrum for all mass
ratios, similar to the Thomas effect. Our result gives further evidence for the
stability of the more general N + M system.
acknowledgement: Open access funding provided by Austrian Science Fund (FWF).
article_number: '19'
article_processing_charge: No
article_type: original
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. Stability of the 2+2 fermionic system with point interactions.
Mathematical Physics Analysis and Geometry. 2018;21(3). doi:10.1007/s11040-018-9275-3
apa: Moser, T., & Seiringer, R. (2018). Stability of the 2+2 fermionic system
with point interactions. Mathematical Physics Analysis and Geometry. Springer.
https://doi.org/10.1007/s11040-018-9275-3
chicago: Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System
with Point Interactions.” Mathematical Physics Analysis and Geometry. Springer,
2018. https://doi.org/10.1007/s11040-018-9275-3.
ieee: T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point
interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no.
3. Springer, 2018.
ista: Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point
interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.
mla: Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System
with Point Interactions.” Mathematical Physics Analysis and Geometry, vol.
21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.
short: T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).
date_created: 2018-12-11T11:44:55Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2023-09-19T09:31:15Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s11040-018-9275-3
ec_funded: 1
external_id:
isi:
- '000439639700001'
file:
- access_level: open_access
checksum: 411c4db5700d7297c9cd8ebc5dd29091
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T16:49:02Z
date_updated: 2020-07-14T12:45:01Z
file_id: '5729'
file_name: 2018_MathPhysics_Moser.pdf
file_size: 496973
relation: main_file
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intvolume: ' 21'
isi: 1
issue: '3'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _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: 3AC91DDA-15DF-11EA-824D-93A3E7B544D1
call_identifier: FWF
name: FWF Open Access Fund
publication: Mathematical Physics Analysis and Geometry
publication_identifier:
eissn:
- '15729656'
issn:
- '13850172'
publication_status: published
publisher: Springer
publist_id: '7767'
quality_controlled: '1'
related_material:
record:
- id: '52'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Stability of the 2+2 fermionic system with point 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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 21
year: '2018'
...
---
_id: '399'
abstract:
- lang: eng
text: Following an earlier calculation in 3D, we calculate the 2D critical temperature
of a dilute, translation-invariant Bose gas using a variational formulation of
the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This
provides the first analytical calculation of the Kosterlitz-Thouless transition
temperature that includes the constant in the logarithm.
acknowledgement: We thank Robert Seiringer and Daniel Ueltschi for bringing the issue
of the change in critical temperature to our attention. We also thank the Erwin
Schrödinger Institute (all authors) and the Department of Mathematics, University
of Copenhagen (MN) for the hospitality during the period this work was carried out.
We gratefully acknowledge the financial support by the European Unions Seventh Framework
Programme under the ERC Grant Agreement Nos. 321029 (JPS and RR) and 337603 (RR)
as well as support by the VIL-LUM FONDEN via the QMATH Centre of Excellence (Grant
No. 10059) (JPS and RR), by the National Science Center (NCN) under grant No. 2016/21/D/ST1/02430
and the Austrian Science Fund (FWF) through project No. P 27533-N27 (MN).
article_number: '10007'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
- first_name: Robin
full_name: Reuvers, Robin
last_name: Reuvers
- first_name: Jan
full_name: Solovej, Jan
last_name: Solovej
citation:
ama: Napiórkowski MM, Reuvers R, Solovej J. Calculation of the critical temperature
of a dilute Bose gas in the Bogoliubov approximation. EPL. 2018;121(1).
doi:10.1209/0295-5075/121/10007
apa: Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). Calculation of
the critical temperature of a dilute Bose gas in the Bogoliubov approximation.
EPL. IOP Publishing Ltd. https://doi.org/10.1209/0295-5075/121/10007
chicago: Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of
the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.”
EPL. IOP Publishing Ltd., 2018. https://doi.org/10.1209/0295-5075/121/10007.
ieee: M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical
temperature of a dilute Bose gas in the Bogoliubov approximation,” EPL,
vol. 121, no. 1. IOP Publishing Ltd., 2018.
ista: Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature
of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007.
mla: Napiórkowski, Marcin M., et al. “Calculation of the Critical Temperature of
a Dilute Bose Gas in the Bogoliubov Approximation.” EPL, vol. 121, no.
1, 10007, IOP Publishing Ltd., 2018, doi:10.1209/0295-5075/121/10007.
short: M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (2018).
date_created: 2018-12-11T11:46:15Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2023-09-08T13:30:51Z
day: '01'
department:
- _id: RoSe
doi: 10.1209/0295-5075/121/10007
external_id:
arxiv:
- '1706.01822'
isi:
- '000460003000003'
intvolume: ' 121'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1706.01822
month: '01'
oa: 1
oa_version: Preprint
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: EPL
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '7432'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov
approximation
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 121
year: '2018'
...
---
_id: '1079'
abstract:
- lang: eng
text: We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory
for atoms and molecules. We prove the nonexistence of minimizers for the energy
functional when the number of electrons is large and the total nuclear charge
is small. This nonexistence result also applies to external potentials decaying
faster than the Coulomb potential. In the case of arbitrary nuclear charges, we
obtain the nonexistence of stable minimizers and radial minimizers.
article_number: '6'
article_processing_charge: No
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Hanne
full_name: Van Den Bosch, Hanne
last_name: Van Den Bosch
citation:
ama: Nam P, Van Den Bosch H. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory
with small nuclear charges. Mathematical Physics, Analysis and Geometry.
2017;20(2). doi:10.1007/s11040-017-9238-0
apa: Nam, P., & Van Den Bosch, H. (2017). Nonexistence in Thomas Fermi-Dirac-von
Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis
and Geometry. Springer. https://doi.org/10.1007/s11040-017-9238-0
chicago: Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von
Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis
and Geometry. Springer, 2017. https://doi.org/10.1007/s11040-017-9238-0.
ieee: P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker
theory with small nuclear charges,” Mathematical Physics, Analysis and Geometry,
vol. 20, no. 2. Springer, 2017.
ista: Nam P, Van Den Bosch H. 2017. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker
theory with small nuclear charges. Mathematical Physics, Analysis and Geometry.
20(2), 6.
mla: Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von
Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis
and Geometry, vol. 20, no. 2, 6, Springer, 2017, doi:10.1007/s11040-017-9238-0.
short: P. Nam, H. Van Den Bosch, Mathematical Physics, Analysis and Geometry 20
(2017).
date_created: 2018-12-11T11:50:02Z
date_published: 2017-06-01T00:00:00Z
date_updated: 2023-09-20T11:53:35Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s11040-017-9238-0
external_id:
isi:
- '000401270000004'
intvolume: ' 20'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1603.07368
month: '06'
oa: 1
oa_version: Submitted 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_identifier:
issn:
- '13850172'
publication_status: published
publisher: Springer
publist_id: '6300'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear
charges
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 20
year: '2017'
...
---
_id: '1120'
abstract:
- lang: eng
text: 'The existence of a self-localization transition in the polaron problem has
been under an active debate ever since Landau suggested it 83 years ago. Here
we reveal the self-localization transition for the rotational analogue of the
polaron -- the angulon quasiparticle. We show that, unlike for the polarons, self-localization
of angulons occurs at finite impurity-bath coupling already at the mean-field
level. The transition is accompanied by the spherical-symmetry breaking of the
angulon ground state and a discontinuity in the first derivative of the ground-state
energy. Moreover, the type of the symmetry breaking is dictated by the symmetry
of the microscopic impurity-bath interaction, which leads to a number of distinct
self-localized states. The predicted effects can potentially be addressed in experiments
on cold molecules trapped in superfluid helium droplets and ultracold quantum
gases, as well as on electronic excitations in solids and Bose-Einstein condensates. '
article_number: '033608'
article_processing_charge: No
author:
- first_name: Xiang
full_name: Li, Xiang
id: 4B7E523C-F248-11E8-B48F-1D18A9856A87
last_name: Li
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Mikhail
full_name: Lemeshko, Mikhail
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
citation:
ama: Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating
in a bosonic bath. Physical Review A. 2017;95(3). doi:10.1103/PhysRevA.95.033608
apa: Li, X., Seiringer, R., & Lemeshko, M. (2017). Angular self-localization
of impurities rotating in a bosonic bath. Physical Review A. American Physical
Society. https://doi.org/10.1103/PhysRevA.95.033608
chicago: Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization
of Impurities Rotating in a Bosonic Bath.” Physical Review A. American
Physical Society, 2017. https://doi.org/10.1103/PhysRevA.95.033608.
ieee: X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities
rotating in a bosonic bath,” Physical Review A, vol. 95, no. 3. American
Physical Society, 2017.
ista: Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities
rotating in a bosonic bath. Physical Review A. 95(3), 033608.
mla: Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic
Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society,
2017, doi:10.1103/PhysRevA.95.033608.
short: X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).
date_created: 2018-12-11T11:50:15Z
date_published: 2017-03-06T00:00:00Z
date_updated: 2023-09-20T11:30:58Z
day: '06'
department:
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- _id: RoSe
doi: 10.1103/PhysRevA.95.033608
ec_funded: 1
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isi: 1
issue: '3'
language:
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main_file_link:
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url: https://arxiv.org/abs/1610.04908
month: '03'
oa: 1
oa_version: Published Version
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name: Quantum rotations in the presence of a many-body environment
publication: Physical Review A
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publisher: American Physical Society
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title: Angular self-localization of impurities rotating in a bosonic bath
type: journal_article
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volume: 95
year: '2017'
...
---
_id: '739'
abstract:
- lang: eng
text: We study the norm approximation to the Schrödinger dynamics of N bosons in
with an interaction potential of the form . Assuming that in the initial state
the particles outside of the condensate form a quasi-free state with finite kinetic
energy, we show that in the large N limit, the fluctuations around the condensate
can be effectively described using Bogoliubov approximation for all . The range
of β is expected to be optimal for this large class of initial states.
article_processing_charge: No
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. A note on the validity of Bogoliubov correction to
mean field dynamics. Journal de Mathématiques Pures et Appliquées. 2017;108(5):662-688.
doi:10.1016/j.matpur.2017.05.013
apa: Nam, P., & Napiórkowski, M. M. (2017). A note on the validity of Bogoliubov
correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées.
Elsevier. https://doi.org/10.1016/j.matpur.2017.05.013
chicago: Nam, Phan, and Marcin M Napiórkowski. “A Note on the Validity of Bogoliubov
Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées.
Elsevier, 2017. https://doi.org/10.1016/j.matpur.2017.05.013.
ieee: P. Nam and M. M. Napiórkowski, “A note on the validity of Bogoliubov correction
to mean field dynamics,” Journal de Mathématiques Pures et Appliquées,
vol. 108, no. 5. Elsevier, pp. 662–688, 2017.
ista: Nam P, Napiórkowski MM. 2017. A note on the validity of Bogoliubov correction
to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 108(5),
662–688.
mla: Nam, Phan, and Marcin M. Napiórkowski. “A Note on the Validity of Bogoliubov
Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées,
vol. 108, no. 5, Elsevier, 2017, pp. 662–88, doi:10.1016/j.matpur.2017.05.013.
short: P. Nam, M.M. Napiórkowski, Journal de Mathématiques Pures et Appliquées 108
(2017) 662–688.
date_created: 2018-12-11T11:48:15Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2023-09-27T12:52:07Z
day: '01'
department:
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doi: 10.1016/j.matpur.2017.05.013
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issue: '5'
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url: https://arxiv.org/abs/1604.05240
month: '11'
oa: 1
oa_version: Submitted Version
page: 662 - 688
project:
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call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Journal de Mathématiques Pures et Appliquées
publication_identifier:
issn:
- '00217824'
publication_status: published
publisher: Elsevier
publist_id: '6928'
quality_controlled: '1'
scopus_import: '1'
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title: A note on the validity of Bogoliubov correction to mean field dynamics
type: journal_article
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volume: 108
year: '2017'
...
---
_id: '741'
abstract:
- lang: eng
text: We prove that a system of N fermions interacting with an additional particle
via point interactions is stable if the ratio of the mass of the additional particle
to the one of the fermions is larger than some critical m*. The value of m* is
independent of N and turns out to be less than 1. This fact has important implications
for the stability of the unitary Fermi gas. We also characterize the domain of
the Hamiltonian of this model, and establish the validity of the Tan relations
for all wave functions in the domain.
article_processing_charge: No
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. Stability of a fermionic N+1 particle system with point
interactions. Communications in Mathematical Physics. 2017;356(1):329-355.
doi:10.1007/s00220-017-2980-0
apa: Moser, T., & Seiringer, R. (2017). Stability of a fermionic N+1 particle
system with point interactions. Communications in Mathematical Physics.
Springer. https://doi.org/10.1007/s00220-017-2980-0
chicago: Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle
System with Point Interactions.” Communications in Mathematical Physics.
Springer, 2017. https://doi.org/10.1007/s00220-017-2980-0.
ieee: T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with
point interactions,” Communications in Mathematical Physics, vol. 356,
no. 1. Springer, pp. 329–355, 2017.
ista: Moser T, Seiringer R. 2017. Stability of a fermionic N+1 particle system with
point interactions. Communications in Mathematical Physics. 356(1), 329–355.
mla: Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle
System with Point Interactions.” Communications in Mathematical Physics,
vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0.
short: T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017)
329–355.
date_created: 2018-12-11T11:48:15Z
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title: Stability of a fermionic N+1 particle system with point 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)
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type: journal_article
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...
---
_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:
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doi: 10.4310/ATMP.2017.v21.n3.a4
ec_funded: 1
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issue: '3'
language:
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main_file_link:
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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
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issn:
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publication_status: published
publisher: International Press
publist_id: '7336'
quality_controlled: '1'
scopus_import: 1
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title: Bogoliubov correction to the mean-field dynamics of interacting bosons
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year: '2017'
...
---
_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
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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
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title: Triviality of a model of particles with point interactions in the thermodynamic
limit
tmp:
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legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
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type: journal_article
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...
---
_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
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oa_version: Published Version
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publication: New Journal of Physics
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '5716'
pubrep_id: '579'
quality_controlled: '1'
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title: Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau
gas
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...
---
_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:
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url: http://arxiv.org/abs/1508.07321
month: '06'
oa: 1
oa_version: Submitted Version
page: 4340 - 4368
project:
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call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
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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
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...
---
_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
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checksum: fb404923d8ca9a1faeb949561f26cbea
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creator: system
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date_updated: 2020-07-14T12:44:53Z
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file_name: IST-2016-591-v1+1_s11005-016-0847-5.pdf
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has_accepted_license: '1'
intvolume: ' 106'
issue: '7'
language:
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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
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...
---
_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
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...