---
_id: '14886'
abstract:
- lang: eng
text: It is a basic principle that an effect cannot come before the cause. Dispersive
relations that follow from this fundamental fact have proven to be an indispensable
tool in physics and engineering. They are most powerful in the domain of linear
response where they are known as Kramers-Kronig relations. However, when it comes
to nonlinear phenomena the implications of causality are much less explored, apart
from several notable exceptions. Here in this paper we demonstrate how to apply
the dispersive formalism to analyze the ultrafast nonlinear response in the context
of the paradigmatic nonlinear Kerr effect. We find that the requirement of causality
introduces a noticeable effect even under assumption that Kerr effect is mediated
by quasi-instantaneous off-resonant electronic hyperpolarizability. We confirm
this by experimentally measuring the time-resolved Kerr dynamics in GaAs by means
of a hybrid pump-probe Mach-Zehnder interferometer and demonstrate the presence
of an intrinsic lagging between amplitude and phase responses as predicted by
dispersive analysis. Our results describe a general property of the time-resolved
nonlinear processes thereby highlighting the importance of accounting for dispersive
effects in the nonlinear optical processes involving ultrashort pulses.
acknowledgement: The work was supported by the Institute of Science and Technology
Austria (ISTA). We thank Prof. John M. Dudley, Dr. Ugur Sezer, and Dr. Artem Volosniev
for valuable discussions.
article_number: '013042'
article_processing_charge: Yes
article_type: original
author:
- first_name: Dusan
full_name: Lorenc, Dusan
id: 40D8A3E6-F248-11E8-B48F-1D18A9856A87
last_name: Lorenc
- first_name: Zhanybek
full_name: Alpichshev, Zhanybek
id: 45E67A2A-F248-11E8-B48F-1D18A9856A87
last_name: Alpichshev
orcid: 0000-0002-7183-5203
citation:
ama: 'Lorenc D, Alpichshev Z. Dispersive effects in ultrafast nonlinear phenomena:
The case of optical Kerr effect. Physical Review Research. 2024;6(1). doi:10.1103/PhysRevResearch.6.013042'
apa: 'Lorenc, D., & Alpichshev, Z. (2024). Dispersive effects in ultrafast nonlinear
phenomena: The case of optical Kerr effect. Physical Review Research. American
Physical Society. https://doi.org/10.1103/PhysRevResearch.6.013042'
chicago: 'Lorenc, Dusan, and Zhanybek Alpichshev. “Dispersive Effects in Ultrafast
Nonlinear Phenomena: The Case of Optical Kerr Effect.” Physical Review Research.
American Physical Society, 2024. https://doi.org/10.1103/PhysRevResearch.6.013042.'
ieee: 'D. Lorenc and Z. Alpichshev, “Dispersive effects in ultrafast nonlinear phenomena:
The case of optical Kerr effect,” Physical Review Research, vol. 6, no.
1. American Physical Society, 2024.'
ista: 'Lorenc D, Alpichshev Z. 2024. Dispersive effects in ultrafast nonlinear phenomena:
The case of optical Kerr effect. Physical Review Research. 6(1), 013042.'
mla: 'Lorenc, Dusan, and Zhanybek Alpichshev. “Dispersive Effects in Ultrafast Nonlinear
Phenomena: The Case of Optical Kerr Effect.” Physical Review Research,
vol. 6, no. 1, 013042, American Physical Society, 2024, doi:10.1103/PhysRevResearch.6.013042.'
short: D. Lorenc, Z. Alpichshev, Physical Review Research 6 (2024).
date_created: 2024-01-28T23:01:42Z
date_published: 2024-01-11T00:00:00Z
date_updated: 2024-01-31T12:01:16Z
day: '11'
ddc:
- '530'
department:
- _id: ZhAl
doi: 10.1103/PhysRevResearch.6.013042
file:
- access_level: open_access
checksum: 42d58f93ae74e7f2c4de058ef75ff8b2
content_type: application/pdf
creator: dernst
date_created: 2024-01-31T11:59:30Z
date_updated: 2024-01-31T11:59:30Z
file_id: '14918'
file_name: 2024_PhysicalReviewResearch_Lorenc.pdf
file_size: 2863627
relation: main_file
success: 1
file_date_updated: 2024-01-31T11:59:30Z
has_accepted_license: '1'
intvolume: ' 6'
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
publication: Physical Review Research
publication_identifier:
eissn:
- 2643-1564
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Dispersive effects in ultrafast nonlinear phenomena: The case of optical Kerr
effect'
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: 6
year: '2024'
...
---
_id: '14980'
abstract:
- lang: eng
text: Precision sensing and manipulation of milligram-scale mechanical oscillators
has attracted growing interest in the fields of table-top explorations of gravity
and tests of quantum mechanics at macroscopic scales. Torsional oscillators present
an opportunity in this regard due to their remarked isolation from environmental
noise. For torsional motion, an effective employment of optical cavities to enhance
optomechanical interactions—as already established for linear oscillators—so far
faced certain challenges. Here, we propose a concept for sensing and manipulating
torsional motion, where exclusively the torsional rotations of a pendulum are
mapped onto the path length of a single two-mirror optical cavity. The concept
inherently alleviates many limitations of previous approaches. A proof-of-principle
experiment is conducted with a rigidly controlled pendulum to explore the sensing
aspects of the concept and to identify practical limitations in a potential state-of-the
art setup. Based on this study, we anticipate development of precision torque
sensors utilizing torsional pendulums that can support sensitivities below 10−19Nm/√Hz,
while the motion of the pendulums are dominated by quantum radiation pressure
noise at sub-microwatts of incoming laser power. These developments will provide
horizons for experiments at the interface of quantum mechanics and gravity.
acknowledgement: "We thank Pere Rosselló for his contributions to the initial modeling
of the presented sensing technique. This work was supported by Institute of Science
and Technology Austria, and\r\nthe European Research Council under Grant No. 101087907
(ERC CoG QuHAMP)."
article_number: '013141'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Sofya
full_name: Agafonova, Sofya
id: 09501ff6-dca7-11ea-a8ae-b3e0b9166e80
last_name: Agafonova
orcid: 0000-0003-0582-2946
- first_name: Umang
full_name: Mishra, Umang
id: 4328fa4c-f128-11eb-9611-c107b0fe4d51
last_name: Mishra
- first_name: Fritz R
full_name: Diorico, Fritz R
id: 2E054C4C-F248-11E8-B48F-1D18A9856A87
last_name: Diorico
orcid: 0000-0002-4947-8924
- first_name: Onur
full_name: Hosten, Onur
id: 4C02D85E-F248-11E8-B48F-1D18A9856A87
last_name: Hosten
orcid: 0000-0002-2031-204X
citation:
ama: Agafonova S, Mishra U, Diorico FR, Hosten O. Zigzag optical cavity for sensing
and controlling torsional motion. Physical Review Research. 2024;6(1).
doi:10.1103/physrevresearch.6.013141
apa: Agafonova, S., Mishra, U., Diorico, F. R., & Hosten, O. (2024). Zigzag
optical cavity for sensing and controlling torsional motion. Physical Review
Research. American Physical Society. https://doi.org/10.1103/physrevresearch.6.013141
chicago: Agafonova, Sofya, Umang Mishra, Fritz R Diorico, and Onur Hosten. “Zigzag
Optical Cavity for Sensing and Controlling Torsional Motion.” Physical Review
Research. American Physical Society, 2024. https://doi.org/10.1103/physrevresearch.6.013141.
ieee: S. Agafonova, U. Mishra, F. R. Diorico, and O. Hosten, “Zigzag optical cavity
for sensing and controlling torsional motion,” Physical Review Research,
vol. 6, no. 1. American Physical Society, 2024.
ista: Agafonova S, Mishra U, Diorico FR, Hosten O. 2024. Zigzag optical cavity for
sensing and controlling torsional motion. Physical Review Research. 6(1), 013141.
mla: Agafonova, Sofya, et al. “Zigzag Optical Cavity for Sensing and Controlling
Torsional Motion.” Physical Review Research, vol. 6, no. 1, 013141, American
Physical Society, 2024, doi:10.1103/physrevresearch.6.013141.
short: S. Agafonova, U. Mishra, F.R. Diorico, O. Hosten, Physical Review Research
6 (2024).
date_created: 2024-02-12T11:42:18Z
date_published: 2024-02-05T00:00:00Z
date_updated: 2024-02-12T11:49:06Z
day: '05'
ddc:
- '530'
department:
- _id: OnHo
doi: 10.1103/physrevresearch.6.013141
external_id:
arxiv:
- '2306.12804'
file:
- access_level: open_access
checksum: 3a39ebffb24c1cc1dd0b547a726dc52d
content_type: application/pdf
creator: dernst
date_created: 2024-02-12T11:46:50Z
date_updated: 2024-02-12T11:46:50Z
file_id: '14981'
file_name: 2024_PhysicalRevResearch_Agafonova.pdf
file_size: 1437167
relation: main_file
success: 1
file_date_updated: 2024-02-12T11:46:50Z
has_accepted_license: '1'
intvolume: ' 6'
issue: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: bdb2a702-d553-11ed-ba76-f12e3e5a3bc6
grant_number: '101087907'
name: 'A quantum hybrid of atoms and milligram-scale pendulums: towards gravitational
quantum mechanics'
publication: Physical Review Research
publication_identifier:
eissn:
- 2643-1564
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Zigzag optical cavity for sensing and controlling torsional motion
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: 6
year: '2024'
...