Quantum Squeezing and Sensing with Pseudo-Anti-Parity-Time Symmetry

Luo, Xi-Wang; Zhang, Chuanwei; Du, Shengwang

doi:10.1103/physrevlett.128.173602

Title: Quantum Squeezing and Sensing with Pseudo-Anti-Parity-Time Symmetry

Journal Article · 28 April 2022 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.128.173602 · OSTI ID:1865672

Luo, Xi-Wang ^[1];

^[2];

^[2]

Univ. of Texas at Dallas, Richardson, TX (United States); University of Texas at Dallas
Univ. of Texas at Dallas, Richardson, TX (United States)

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.

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Research Organization:: Univ. of Texas at Dallas, Richardson, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation

Grant/Contract Number:: SC0022069

OSTI ID:: 1865672

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 17 Vol. 128; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (67)

Bose-Einstein condensate collapse and dynamical squeezing of vacuum fluctuations Calzetta, E. A.; Hu, B. L. Physical Review A, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevA.68.043625	journal	October 2003
Single-mode laser by parity-time symmetry breaking Feng, L.; Wong, Z. J.; Ma, R. -M. Science, Vol. 346, Issue 6212 https://doi.org/10.1126/science.1258479	journal	October 2014
Theory of coupled optical PT-symmetric structures El-Ganainy, R.; Makris, K. G.; Christodoulides, D. N. Optics Letters, Vol. 32, Issue 17 https://doi.org/10.1364/OL.32.002632	journal	January 2007
$\mathcal{PT}$ -symmetric photonic quantum systems with gain and loss do not exist Scheel, S.; Szameit, A. EPL (Europhysics Letters), Vol. 122, Issue 3 https://doi.org/10.1209/0295-5075/122/34001	journal	May 2018
Ring trap for ultracold atoms Morizot, Olivier; Colombe, Yves; Lorent, Vincent Physical Review A, Vol. 74, Issue 2 https://doi.org/10.1103/PhysRevA.74.023617	journal	August 2006
Nonlinearity-induced PT-symmetry without material gain Miri, Mohammad-Ali; Alù, Andrea New Journal of Physics, Vol. 18, Issue 6 https://doi.org/10.1088/1367-2630/18/6/065001	journal	May 2016
Critical Quantum Metrology with a Finite-Component Quantum Phase Transition Garbe, Louis; Bina, Matteo; Keller, Arne Physical Review Letters, Vol. 124, Issue 12 https://doi.org/10.1103/PhysRevLett.124.120504	journal	March 2020
Dynamical phase transitions as a resource for quantum enhanced metrology Macieszczak, Katarzyna; Guţă, Mădălin; Lesanovsky, Igor Physical Review A, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevA.93.022103	journal	February 2016
Anti-Parity-Time Symmetric Optical Four-Wave Mixing in Cold Atoms Jiang, Yue; Mei, Yefeng; Zuo, Ying Physical Review Letters, Vol. 123, Issue 19 https://doi.org/10.1103/PhysRevLett.123.193604	journal	November 2019
Narrowband biphoton generation near atomic resonance Du, Shengwang; Wen, Jianming; Rubin, Morton H. Journal of the Optical Society of America B, Vol. 25, Issue 12 https://doi.org/10.1364/JOSAB.25.000C98	journal	January 2008
Anti-parity–time symmetry with flying atoms Peng, Peng; Cao, Wanxia; Shen, Ce Nature Physics, Vol. 12, Issue 12 https://doi.org/10.1038/nphys3842	journal	August 2016
Quantum metrology with nonclassical states of atomic ensembles Pezzè, Luca; Smerzi, Augusto; Oberthaler, Markus K. Reviews of Modern Physics, Vol. 90, Issue 3 https://doi.org/10.1103/RevModPhys.90.035005	journal	September 2018
Colloquium : Bulk Bogoliubov excitations in a Bose-Einstein condensate Ozeri, R.; Katz, N.; Steinhauer, J. Reviews of Modern Physics, Vol. 77, Issue 1 https://doi.org/10.1103/RevModPhys.77.187	journal	April 2005
Quantum Sensing with a Single-Qubit Pseudo-Hermitian System Chu, Yaoming; Liu, Yu; Liu, Haibin Physical Review Letters, Vol. 124, Issue 2 https://doi.org/10.1103/PhysRevLett.124.020501	journal	January 2020
Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry Bender, Carl M.; Boettcher, Stefan Physical Review Letters, Vol. 80, Issue 24 https://doi.org/10.1103/PhysRevLett.80.5243	journal	June 1998
Parity–time-symmetric whispering-gallery microcavities Peng, Bo; Özdemir, Şahin Kaya; Lei, Fuchuan Nature Physics, Vol. 10, Issue 5 https://doi.org/10.1038/nphys2927	journal	April 2014
Spectral theory of Liouvillians for dissipative phase transitions Minganti, Fabrizio; Biella, Alberto; Bartolo, Nicola Physical Review A, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRevA.98.042118	journal	October 2018
Single-shot read-out of a superconducting qubit using a Josephson parametric oscillator Krantz, Philip; Bengtsson, Andreas; Simoen, Michaël Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11417	journal	May 2016
Review of exceptional point-based sensors Wiersig, Jan Photonics Research, Vol. 8, Issue 9 https://doi.org/10.1364/PRJ.396115	journal	January 2020
An invisible acoustic sensor based on parity-time symmetry Fleury, Romain; Sounas, Dimitrios; Alù, Andrea Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms6905	journal	January 2015
Making sense of non-Hermitian Hamiltonians Bender, Carl M. Reports on Progress in Physics, Vol. 70, Issue 6 https://doi.org/10.1088/0034-4885/70/6/R03	journal	May 2007
Arbitrary order exceptional point induced by photonic spin–orbit interaction in coupled resonators Wang, Shubo; Hou, Bo; Lu, Weixin Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-08826-6	journal	February 2019
Quantum information with continuous variables Braunstein, Samuel L.; van Loock, Peter Reviews of Modern Physics, Vol. 77, Issue 2 https://doi.org/10.1103/RevModPhys.77.513	journal	June 2005
Parity-time-symmetric microring lasers Hodaei, H.; Miri, M. -A.; Heinrich, M. Science, Vol. 346, Issue 6212 https://doi.org/10.1126/science.1258480	journal	October 2014
Antisymmetric PT -photonic structures with balanced positive- and negative-index materials Ge, Li; Türeci, Hakan E. Physical Review A, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevA.88.053810	journal	November 2013
Experimental Investigation of Quantum P T -Enhanced Sensor Yu, Shang; Meng, Yu; Tang, Jian-Shun Physical Review Letters, Vol. 125, Issue 24 https://doi.org/10.1103/PhysRevLett.125.240506	journal	December 2020
Advances in quantum metrology Giovannetti, Vittorio; Lloyd, Seth; Maccone, Lorenzo Nature Photonics, Vol. 5, Issue 4 https://doi.org/10.1038/nphoton.2011.35	journal	March 2011
Conserving and gapless approximations for an inhomogeneous Bose gas at finite temperatures Griffin, A. Physical Review B, Vol. 53, Issue 14 https://doi.org/10.1103/PhysRevB.53.9341	journal	April 1996
Quantum state tomography across the exceptional point in a single dissipative qubit Naghiloo, M.; Abbasi, M.; Joglekar, Yogesh N. Nature Physics, Vol. 15, Issue 12 https://doi.org/10.1038/s41567-019-0652-z	journal	October 2019
Observation of parity–time symmetry in optics Rüter, Christian E.; Makris, Konstantinos G.; El-Ganainy, Ramy Nature Physics, Vol. 6, Issue 3 https://doi.org/10.1038/nphys1515	journal	January 2010
Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices Zhang, Zhaoyang; Zhang, Yiqi; Sheng, Jiteng Physical Review Letters, Vol. 117, Issue 12 https://doi.org/10.1103/PhysRevLett.117.123601	journal	September 2016
Hysteresis in a quantized superfluid ‘atomtronic’ circuit Eckel, Stephen; Lee, Jeffrey G.; Jendrzejewski, Fred Nature, Vol. 506, Issue 7487 https://doi.org/10.1038/nature12958	journal	February 2014
Quantum Transducer Using a Parametric Driven-Dissipative Phase Transition Heugel, Toni L.; Biondi, Matteo; Zilberberg, Oded Physical Review Letters, Vol. 123, Issue 17 https://doi.org/10.1103/PhysRevLett.123.173601	journal	October 2019
Dynamic Framework for Criticality-Enhanced Quantum Sensing Chu, Yaoming; Zhang, Shaoliang; Yu, Baiyi Physical Review Letters, Vol. 126, Issue 1 https://doi.org/10.1103/PhysRevLett.126.010502	journal	January 2021
Non-Hermitian photonics based on parity–time symmetry Feng, Liang; El-Ganainy, Ramy; Ge, Li Nature Photonics, Vol. 11, Issue 12 https://doi.org/10.1038/s41566-017-0031-1	journal	November 2017
Quantum Noise Theory of Exceptional Point Amplifying Sensors Zhang, Mengzhen; Sweeney, William; Hsu, Chia Wei Physical Review Letters, Vol. 123, Issue 18 https://doi.org/10.1103/PhysRevLett.123.180501	journal	October 2019
Observation of parity-time symmetry breaking in a single-spin system Wu, Yang; Liu, Wenquan; Geng, Jianpei Science, Vol. 364, Issue 6443 https://doi.org/10.1126/science.aaw8205	journal	May 2019
Dynamically Encircling Exceptional Points: In situ Control of Encircling Loops and the Role of the Starting Point Zhang, Xu-Lin; Wang, Shubo; Hou, Bo Physical Review X, Vol. 8, Issue 2 https://doi.org/10.1103/PhysRevX.8.021066	journal	June 2018
Symmetry Breaking and Error Correction in Open Quantum Systems Lieu, Simon; Belyansky, Ron; Young, Jeremy T. Physical Review Letters, Vol. 125, Issue 24 https://doi.org/10.1103/PhysRevLett.125.240405	journal	December 2020
Quantum effects on dynamics of instabilities in Bose-Einstein condensates Yurovsky, V. A. Physical Review A, Vol. 65, Issue 3 https://doi.org/10.1103/PhysRevA.65.033605	journal	February 2002
Driven-dissipative phase transition in a Kerr oscillator: From semiclassical PT symmetry to quantum fluctuations Zhang, Xin H. H.; Baranger, Harold U. Physical Review A, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevA.103.033711	journal	March 2021
Observation of Tunable Optical Parametric Fluorescence Harris, S. E.; Oshman, M. K.; Byer, R. L. Physical Review Letters, Vol. 18, Issue 18 https://doi.org/10.1103/PhysRevLett.18.732	journal	May 1967
Experimental study of active LRC circuits with PT symmetries Schindler, Joseph; Li, Ang; Zheng, Mei C. Physical Review A, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevA.84.040101	journal	October 2011
Non-Hermitian physics and PT symmetry El-Ganainy, Ramy; Makris, Konstantinos G.; Khajavikhan, Mercedeh Nature Physics, Vol. 14, Issue 1 https://doi.org/10.1038/nphys4323	journal	January 2018
P T -Symmetric Acoustics Zhu, Xuefeng; Ramezani, Hamidreza; Shi, Chengzhi Physical Review X, Vol. 4, Issue 3 https://doi.org/10.1103/PhysRevX.4.031042	journal	September 2014
Atom lasers: Production, properties and prospects for precision inertial measurement Robins, N. P.; Altin, P. A.; Debs, J. E. Physics Reports, Vol. 529, Issue 3 https://doi.org/10.1016/j.physrep.2013.03.006	journal	August 2013
Extremely broadband, on-chip optical nonreciprocity enabled by mimicking nonlinear anti-adiabatic quantum jumps near exceptional points Choi, Youngsun; Hahn, Choloong; Yoon, Jae Woong Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14154	journal	January 2017
Exceptional points in optics and photonics Miri, Mohammad-Ali; Alù, Andrea Science, Vol. 363, Issue 6422 https://doi.org/10.1126/science.aar7709	journal	January 2019
Quantum transition-edge detectors Tsang, Mankei Physical Review A, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevA.88.021801	journal	August 2013
Observation of P T -Symmetry Breaking in Complex Optical Potentials Guo, A.; Salamo, G. J.; Duchesne, D. Physical Review Letters, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevLett.103.093902	journal	August 2009
Anti- PT symmetry in dissipatively coupled optical systems Yang, Fan; Liu, Yong-Chun; You, Li Physical Review A, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevA.96.053845	journal	November 2017
Quantum metrology for the Ising Hamiltonian with transverse magnetic field Skotiniotis, Michael; Sekatski, Pavel; Dür, Wolfgang New Journal of Physics, Vol. 17, Issue 7 https://doi.org/10.1088/1367-2630/17/7/073032	journal	July 2015
Enhancing the Sensitivity of Frequency and Energy Splitting Detection by Using Exceptional Points: Application to Microcavity Sensors for Single-Particle Detection Wiersig, Jan Physical Review Letters, Vol. 112, Issue 20 https://doi.org/10.1103/PhysRevLett.112.203901	journal	May 2014
Fundamental limits and non-reciprocal approaches in non-Hermitian quantum sensing Lau, Hoi-Kwan; Clerk, Aashish A. Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-06477-7	journal	October 2018
At the Limits of Criticality-Based Quantum Metrology: Apparent Super-Heisenberg Scaling Revisited Rams, Marek M.; Sierant, Piotr; Dutta, Omyoti Physical Review X, Vol. 8, Issue 2 https://doi.org/10.1103/PhysRevX.8.021022	journal	April 2018
Parity–time symmetry and exceptional points in photonics Özdemir, Ş. K.; Rotter, S.; Nori, F. Nature Materials, Vol. 18, Issue 8 https://doi.org/10.1038/s41563-019-0304-9	journal	April 2019
Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions Bartolo, Nicola; Minganti, Fabrizio; Casteels, Wim Physical Review A, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevA.94.033841	journal	September 2016
Enhanced sensitivity at higher-order exceptional points Hodaei, Hossein; Hassan, Absar U.; Wittek, Steffen Nature, Vol. 548, Issue 7666 https://doi.org/10.1038/nature23280	journal	August 2017
P T Symmetry with a System of Three-Level Atoms Hang, Chao; Huang, Guoxiang; Konotop, Vladimir V. Physical Review Letters, Vol. 110, Issue 8 https://doi.org/10.1103/PhysRevLett.110.083604	journal	February 2013
Nonlinear waves in PT -symmetric systems Konotop, Vladimir V.; Yang, Jianke; Zezyulin, Dmitry A. Reviews of Modern Physics, Vol. 88, Issue 3 https://doi.org/10.1103/RevModPhys.88.035002	journal	July 2016
Non-Hermitian Degeneracies and Unidirectional Reflectionless Atomic Lattices Wu, Jin-Hui; Artoni, M.; La Rocca, G. C. Physical Review Letters, Vol. 113, Issue 12 https://doi.org/10.1103/PhysRevLett.113.123004	journal	September 2014
Bose-Einstein Condensation of Atomic Hydrogen Fried, Dale G.; Killian, Thomas C.; Willmann, Lorenz Physical Review Letters, Vol. 81, Issue 18 https://doi.org/10.1103/PhysRevLett.81.3811	journal	November 1998
Anti–parity-time symmetry in diffusive systems Li, Ying; Peng, Yu-Gui; Han, Lei Science, Vol. 364, Issue 6436 https://doi.org/10.1126/science.aaw6259	journal	April 2019
Odd-Time Reversal P T Symmetry Induced by an Anti- P T -Symmetric Medium Konotop, Vladimir V.; Zezyulin, Dmitry A. Physical Review Letters, Vol. 120, Issue 12 https://doi.org/10.1103/PhysRevLett.120.123902	journal	March 2018
Non-Hermitian dynamics without dissipation in quantum systems Wang, Yu-Xin; Clerk, A. A. Physical Review A, Vol. 99, Issue 6 https://doi.org/10.1103/PhysRevA.99.063834	journal	June 2019
Narrowband biphoton generation in the group delay regime Zhao, Luwei; Su, Yumian; Du, Shengwang Physical Review A, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevA.93.033815	journal	March 2016
Metrology with PT -Symmetric Cavities: Enhanced Sensitivity near the PT -Phase Transition Liu, Zhong-Peng; Zhang, Jing; Özdemir, Şahin Kaya Physical Review Letters, Vol. 117, Issue 11 https://doi.org/10.1103/PhysRevLett.117.110802	journal	September 2016

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Title: Quantum Squeezing and Sensing with Pseudo-Anti-Parity-Time Symmetry

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