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Title: 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:
 [1]; ORCiD logo [1]; ORCiD logo [1]
  1. 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

FIG. 1 FIG. 1: Pseudo-$\mathcal{APT}$ symmetry induced quantum squeezing dynamics. (a) The squeezing factor versus evolution time for different $\kappa$. |$\kappa$/δ| = 0.95, 1 and 1.05 correspond to pseudo-$\mathcal{APT}$ broken, EP and pseudo-$\mathcal{APT}$ symmetric regions, respectively. Blue arrows indicate the two-mode squeezing directions for $\kappa$, δ > 0. The inset shows themore » eigenvalues of $\def\mathbi#1{textbf{em #1}}\,{H}_{APT}$. Solid (dashed) lines are the real (imaginary) parts. (b) Squeezing factor versus $\kappa$ for different evolution time. Solid (dashed) line corresponds to |δ|$\mathcal{t}$ = 30 (|δ|$\mathcal{t}$ = 15). Inset shows A versus |$\kappa$/δ| with |δ|$\mathcal{t}$ = 30. Solid (dashed) line is the real (imaginary) part. B = −$\kappa$Im[$\def\mathbi#1{textbf{em #1}}\,{A}$]/δ.« less

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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.