Quantum Squeezing and Sensing with Pseudo-Anti-Parity-Time Symmetry
Abstract
The emergence of parity-time (PT) symmetry has greatly enriched our study of symmetry-enabled non-Hermitian physics, but the realization of quantum PT symmetry faces an intrinsic issue of unavoidable symmetry-breaking Langevin noises. Here we construct a quantum pseudo-anti-PT (pseudo-APT) symmetry in a two-mode bosonic system without involving Langevin noises. We show that the spontaneous pseudo-APT symmetry breaking leads to an exceptional point, across which there is a transition between different types of quantum squeezing dynamics; i.e., the squeezing factor increases exponentially (oscillates periodically) with time in the pseudo-APT-symmetric (broken) region. Such dramatic changes of squeezing factors and quantum dynamics near the exceptional point are utilized for ultraprecision quantum sensing. These exotic quantum phenomena and sensing applications can be experimentally observed in two physical systems: spontaneous wave mixing nonlinear optics and atomic Bose-Einstein condensates. Furthermore, our Letter offers a physical platform for investigating exciting APT symmetry physics in the quantum realm, paving the way for exploring fundamental quantum non-Hermitian effects and their quantum technological applications.
- Authors:
-
- Univ. of Texas at Dallas, Richardson, TX (United States)
- Publication Date:
- Research Org.:
- Univ. of Texas at Dallas, Richardson, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF)
- OSTI Identifier:
- 1865672
- Grant/Contract Number:
- SC0022069; PHY-2110212
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 128; Journal Issue: 17; Related Information: Supplemental Material:https://journals.aps.org/prl/supplemental/10.1103/PhysRevLett.128.173602/SuppMatt-03-17.pdf; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Squeezing; Quantum sensing; Anti-parity-time symmetry; Bose-Einstein condensates; Quantum optics; Squeezing of quantum noise
Citation Formats
Luo, Xi-Wang, Zhang, Chuanwei, and Du, Shengwang. Quantum Squeezing and Sensing with Pseudo-Anti-Parity-Time Symmetry. United States: N. p., 2022.
Web. doi:10.1103/physrevlett.128.173602.
Luo, Xi-Wang, Zhang, Chuanwei, & Du, Shengwang. Quantum Squeezing and Sensing with Pseudo-Anti-Parity-Time Symmetry. United States. https://doi.org/10.1103/physrevlett.128.173602
Luo, Xi-Wang, Zhang, Chuanwei, and Du, Shengwang. Fri .
"Quantum Squeezing and Sensing with Pseudo-Anti-Parity-Time Symmetry". United States. https://doi.org/10.1103/physrevlett.128.173602. https://www.osti.gov/servlets/purl/1865672.
@article{osti_1865672,
title = {Quantum Squeezing and Sensing with Pseudo-Anti-Parity-Time Symmetry},
author = {Luo, Xi-Wang and Zhang, Chuanwei and Du, Shengwang},
abstractNote = {The emergence of parity-time (PT) symmetry has greatly enriched our study of symmetry-enabled non-Hermitian physics, but the realization of quantum PT symmetry faces an intrinsic issue of unavoidable symmetry-breaking Langevin noises. Here we construct a quantum pseudo-anti-PT (pseudo-APT) symmetry in a two-mode bosonic system without involving Langevin noises. We show that the spontaneous pseudo-APT symmetry breaking leads to an exceptional point, across which there is a transition between different types of quantum squeezing dynamics; i.e., the squeezing factor increases exponentially (oscillates periodically) with time in the pseudo-APT-symmetric (broken) region. Such dramatic changes of squeezing factors and quantum dynamics near the exceptional point are utilized for ultraprecision quantum sensing. These exotic quantum phenomena and sensing applications can be experimentally observed in two physical systems: spontaneous wave mixing nonlinear optics and atomic Bose-Einstein condensates. Furthermore, our Letter offers a physical platform for investigating exciting APT symmetry physics in the quantum realm, paving the way for exploring fundamental quantum non-Hermitian effects and their quantum technological applications.},
doi = {10.1103/physrevlett.128.173602},
journal = {Physical Review Letters},
number = 17,
volume = 128,
place = {United States},
year = {Fri Apr 29 00:00:00 EDT 2022},
month = {Fri Apr 29 00:00:00 EDT 2022}
}
Figures / Tables:
Works referenced in this record:
Quantum Transducer Using a Parametric Driven-Dissipative Phase Transition
journal, October 2019
- Heugel, Toni L.; Biondi, Matteo; Zilberberg, Oded
- Physical Review Letters, Vol. 123, Issue 17
Quantum transition-edge detectors
journal, August 2013
- Tsang, Mankei
- Physical Review A, Vol. 88, Issue 2
Hysteresis in a quantized superfluid ‘atomtronic’ circuit
journal, February 2014
- Eckel, Stephen; Lee, Jeffrey G.; Jendrzejewski, Fred
- Nature, Vol. 506, Issue 7487
Dynamic Framework for Criticality-Enhanced Quantum Sensing
journal, January 2021
- Chu, Yaoming; Zhang, Shaoliang; Yu, Baiyi
- Physical Review Letters, Vol. 126, Issue 1
Driven-dissipative phase transition in a Kerr oscillator: From semiclassical symmetry to quantum fluctuations
journal, March 2021
- Zhang, Xin H. H.; Baranger, Harold U.
- Physical Review A, Vol. 103, Issue 3
Quantum Sensing with a Single-Qubit Pseudo-Hermitian System
journal, January 2020
- Chu, Yaoming; Liu, Yu; Liu, Haibin
- Physical Review Letters, Vol. 124, Issue 2
Odd-Time Reversal Symmetry Induced by an Anti- -Symmetric Medium
journal, March 2018
- Konotop, Vladimir V.; Zezyulin, Dmitry A.
- Physical Review Letters, Vol. 120, Issue 12
Advances in quantum metrology
journal, March 2011
- Giovannetti, Vittorio; Lloyd, Seth; Maccone, Lorenzo
- Nature Photonics, Vol. 5, Issue 4
An invisible acoustic sensor based on parity-time symmetry
journal, January 2015
- Fleury, Romain; Sounas, Dimitrios; Alù, Andrea
- Nature Communications, Vol. 6, Issue 1
Arbitrary order exceptional point induced by photonic spin–orbit interaction in coupled resonators
journal, February 2019
- Wang, Shubo; Hou, Bo; Lu, Weixin
- Nature Communications, Vol. 10, Issue 1
Nonlinearity-induced PT-symmetry without material gain
journal, May 2016
- Miri, Mohammad-Ali; Alù, Andrea
- New Journal of Physics, Vol. 18, Issue 6
Anti–parity-time symmetry in diffusive systems
journal, April 2019
- Li, Ying; Peng, Yu-Gui; Han, Lei
- Science, Vol. 364, Issue 6436
Quantum information with continuous variables
journal, June 2005
- Braunstein, Samuel L.; van Loock, Peter
- Reviews of Modern Physics, Vol. 77, Issue 2
Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
journal, September 2016
- Bartolo, Nicola; Minganti, Fabrizio; Casteels, Wim
- Physical Review A, Vol. 94, Issue 3
Non-Hermitian physics and PT symmetry
journal, January 2018
- El-Ganainy, Ramy; Makris, Konstantinos G.; Khajavikhan, Mercedeh
- Nature Physics, Vol. 14, Issue 1
Quantum Noise Theory of Exceptional Point Amplifying Sensors
journal, October 2019
- Zhang, Mengzhen; Sweeney, William; Hsu, Chia Wei
- Physical Review Letters, Vol. 123, Issue 18
Real Spectra in Non-Hermitian Hamiltonians Having Symmetry
journal, June 1998
- Bender, Carl M.; Boettcher, Stefan
- Physical Review Letters, Vol. 80, Issue 24
Non-Hermitian Degeneracies and Unidirectional Reflectionless Atomic Lattices
journal, September 2014
- Wu, Jin-Hui; Artoni, M.; La Rocca, G. C.
- Physical Review Letters, Vol. 113, Issue 12
Non-Hermitian dynamics without dissipation in quantum systems
journal, June 2019
- Wang, Yu-Xin; Clerk, A. A.
- Physical Review A, Vol. 99, Issue 6
Nonlinear waves in -symmetric systems
journal, July 2016
- Konotop, Vladimir V.; Yang, Jianke; Zezyulin, Dmitry A.
- Reviews of Modern Physics, Vol. 88, Issue 3
Narrowband biphoton generation in the group delay regime
journal, March 2016
- Zhao, Luwei; Su, Yumian; Du, Shengwang
- Physical Review A, Vol. 93, Issue 3
Symmetry with a System of Three-Level Atoms
journal, February 2013
- Hang, Chao; Huang, Guoxiang; Konotop, Vladimir V.
- Physical Review Letters, Vol. 110, Issue 8
Parity–time-symmetric whispering-gallery microcavities
journal, April 2014
- Peng, Bo; Özdemir, Şahin Kaya; Lei, Fuchuan
- Nature Physics, Vol. 10, Issue 5
Quantum state tomography across the exceptional point in a single dissipative qubit
journal, October 2019
- Naghiloo, M.; Abbasi, M.; Joglekar, Yogesh N.
- Nature Physics, Vol. 15, Issue 12
Narrowband biphoton generation near atomic resonance
journal, January 2008
- Du, Shengwang; Wen, Jianming; Rubin, Morton H.
- Journal of the Optical Society of America B, Vol. 25, Issue 12
Observation of parity-time symmetry breaking in a single-spin system
journal, May 2019
- Wu, Yang; Liu, Wenquan; Geng, Jianpei
- Science, Vol. 364, Issue 6443
Making sense of non-Hermitian Hamiltonians
journal, May 2007
- Bender, Carl M.
- Reports on Progress in Physics, Vol. 70, Issue 6
Single-shot read-out of a superconducting qubit using a Josephson parametric oscillator
journal, May 2016
- Krantz, Philip; Bengtsson, Andreas; Simoen, Michaël
- Nature Communications, Vol. 7, Issue 1
Colloquium : Bulk Bogoliubov excitations in a Bose-Einstein condensate
journal, April 2005
- Ozeri, R.; Katz, N.; Steinhauer, J.
- Reviews of Modern Physics, Vol. 77, Issue 1
Experimental Investigation of Quantum -Enhanced Sensor
journal, December 2020
- Yu, Shang; Meng, Yu; Tang, Jian-Shun
- Physical Review Letters, Vol. 125, Issue 24
Conserving and gapless approximations for an inhomogeneous Bose gas at finite temperatures
journal, April 1996
- Griffin, A.
- Physical Review B, Vol. 53, Issue 14
Exceptional points in optics and photonics
journal, January 2019
- Miri, Mohammad-Ali; Alù, Andrea
- Science, Vol. 363, Issue 6422
Bose-Einstein Condensation of Atomic Hydrogen
journal, November 1998
- Fried, Dale G.; Killian, Thomas C.; Willmann, Lorenz
- Physical Review Letters, Vol. 81, Issue 18
Observation of -Symmetry Breaking in Complex Optical Potentials
journal, August 2009
- Guo, A.; Salamo, G. J.; Duchesne, D.
- Physical Review Letters, Vol. 103, Issue 9
-Symmetric Acoustics
journal, September 2014
- Zhu, Xuefeng; Ramezani, Hamidreza; Shi, Chengzhi
- Physical Review X, Vol. 4, Issue 3
Extremely broadband, on-chip optical nonreciprocity enabled by mimicking nonlinear anti-adiabatic quantum jumps near exceptional points
journal, January 2017
- Choi, Youngsun; Hahn, Choloong; Yoon, Jae Woong
- Nature Communications, Vol. 8, Issue 1
Experimental study of active LRC circuits with symmetries
journal, October 2011
- Schindler, Joseph; Li, Ang; Zheng, Mei C.
- Physical Review A, Vol. 84, Issue 4
Single-mode laser by parity-time symmetry breaking
journal, October 2014
- Feng, L.; Wong, Z. J.; Ma, R. -M.
- Science, Vol. 346, Issue 6212
Antisymmetric -photonic structures with balanced positive- and negative-index materials
journal, November 2013
- Ge, Li; Türeci, Hakan E.
- Physical Review A, Vol. 88, Issue 5
Observation of parity–time symmetry in optics
journal, January 2010
- Rüter, Christian E.; Makris, Konstantinos G.; El-Ganainy, Ramy
- Nature Physics, Vol. 6, Issue 3
Fundamental limits and non-reciprocal approaches in non-Hermitian quantum sensing
journal, October 2018
- Lau, Hoi-Kwan; Clerk, Aashish A.
- Nature Communications, Vol. 9, Issue 1
Quantum metrology with nonclassical states of atomic ensembles
journal, September 2018
- Pezzè, Luca; Smerzi, Augusto; Oberthaler, Markus K.
- Reviews of Modern Physics, Vol. 90, Issue 3
Theory of coupled optical PT-symmetric structures
journal, January 2007
- El-Ganainy, R.; Makris, K. G.; Christodoulides, D. N.
- Optics Letters, Vol. 32, Issue 17
Parity–time symmetry and exceptional points in photonics
journal, April 2019
- Özdemir, Ş. K.; Rotter, S.; Nori, F.
- Nature Materials, Vol. 18, Issue 8
Quantum metrology for the Ising Hamiltonian with transverse magnetic field
journal, July 2015
- Skotiniotis, Michael; Sekatski, Pavel; Dür, Wolfgang
- New Journal of Physics, Vol. 17, Issue 7
Atom lasers: Production, properties and prospects for precision inertial measurement
journal, August 2013
- Robins, N. P.; Altin, P. A.; Debs, J. E.
- Physics Reports, Vol. 529, Issue 3
Quantum effects on dynamics of instabilities in Bose-Einstein condensates
journal, February 2002
- Yurovsky, V. A.
- Physical Review A, Vol. 65, Issue 3
Observation of Tunable Optical Parametric Fluorescence
journal, May 1967
- Harris, S. E.; Oshman, M. K.; Byer, R. L.
- Physical Review Letters, Vol. 18, Issue 18
$\mathcal{PT}$ -symmetric photonic quantum systems with gain and loss do not exist
journal, May 2018
- Scheel, S.; Szameit, A.
- EPL (Europhysics Letters), Vol. 122, Issue 3
Spectral theory of Liouvillians for dissipative phase transitions
journal, October 2018
- Minganti, Fabrizio; Biella, Alberto; Bartolo, Nicola
- Physical Review A, Vol. 98, Issue 4
Parity-time-symmetric microring lasers
journal, October 2014
- Hodaei, H.; Miri, M. -A.; Heinrich, M.
- Science, Vol. 346, Issue 6212
Enhanced sensitivity at higher-order exceptional points
journal, August 2017
- Hodaei, Hossein; Hassan, Absar U.; Wittek, Steffen
- Nature, Vol. 548, Issue 7666
Anti-Parity-Time Symmetric Optical Four-Wave Mixing in Cold Atoms
journal, November 2019
- Jiang, Yue; Mei, Yefeng; Zuo, Ying
- Physical Review Letters, Vol. 123, Issue 19
Critical Quantum Metrology with a Finite-Component Quantum Phase Transition
journal, March 2020
- Garbe, Louis; Bina, Matteo; Keller, Arne
- Physical Review Letters, Vol. 124, Issue 12
Bose-Einstein condensate collapse and dynamical squeezing of vacuum fluctuations
journal, October 2003
- Calzetta, E. A.; Hu, B. L.
- Physical Review A, Vol. 68, Issue 4
Review of exceptional point-based sensors
journal, January 2020
- Wiersig, Jan
- Photonics Research, Vol. 8, Issue 9
Ring trap for ultracold atoms
journal, August 2006
- Morizot, Olivier; Colombe, Yves; Lorent, Vincent
- Physical Review A, Vol. 74, Issue 2
Non-Hermitian photonics based on parity–time symmetry
journal, November 2017
- Feng, Liang; El-Ganainy, Ramy; Ge, Li
- Nature Photonics, Vol. 11, Issue 12
Anti- symmetry in dissipatively coupled optical systems
journal, November 2017
- Yang, Fan; Liu, Yong-Chun; You, Li
- Physical Review A, Vol. 96, Issue 5
Anti-parity–time symmetry with flying atoms
journal, August 2016
- Peng, Peng; Cao, Wanxia; Shen, Ce
- Nature Physics, Vol. 12, Issue 12
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