Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing

Quantum phase transitions universally exist in the ground and excited states of quantum many-body systems, and they have a close relationship with the nonequilibrium dynamical phase transitions, which however are challenging to identify. In the system of spin-1 Bose-Einstein condensates, though dyna...

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Main Authors: Lu Zhou, Jia Kong, Zhihao Lan, Weiping Zhang
Format: Article
Language:English
Published: American Physical Society 2023-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.013087
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author Lu Zhou
Jia Kong
Zhihao Lan
Weiping Zhang
author_facet Lu Zhou
Jia Kong
Zhihao Lan
Weiping Zhang
author_sort Lu Zhou
collection DOAJ
description Quantum phase transitions universally exist in the ground and excited states of quantum many-body systems, and they have a close relationship with the nonequilibrium dynamical phase transitions, which however are challenging to identify. In the system of spin-1 Bose-Einstein condensates, though dynamical phase transitions with correspondence to equilibrium phase transitions in the ground state and uppermost excited state have been probed, those taking place in intermediate excited states remain untouched in experiments thus far. Here we unravel that both the ground- and excited-state quantum phase transitions in spinor condensates can be diagnosed with dynamical phase transitions. A connection between equilibrium phase transitions and nonequilibrium behaviors of the system is disclosed in terms of the quantum Fisher information. We also demonstrate that near the critical points parameter estimation beyond the standard quantum limit can be implemented. This work not only advances the exploration of excited-state quantum phase transitions via a scheme that can immediately be applied to a broad class of few-mode quantum systems, but also provides a new perspective on the relationship between quantum criticality and quantum enhanced sensing.
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spelling doaj.art-0340fad8c29049329009e0dc82d5c04d2024-04-12T17:28:16ZengAmerican Physical SocietyPhysical Review Research2643-15642023-02-015101308710.1103/PhysRevResearch.5.013087Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensingLu ZhouJia KongZhihao LanWeiping ZhangQuantum phase transitions universally exist in the ground and excited states of quantum many-body systems, and they have a close relationship with the nonequilibrium dynamical phase transitions, which however are challenging to identify. In the system of spin-1 Bose-Einstein condensates, though dynamical phase transitions with correspondence to equilibrium phase transitions in the ground state and uppermost excited state have been probed, those taking place in intermediate excited states remain untouched in experiments thus far. Here we unravel that both the ground- and excited-state quantum phase transitions in spinor condensates can be diagnosed with dynamical phase transitions. A connection between equilibrium phase transitions and nonequilibrium behaviors of the system is disclosed in terms of the quantum Fisher information. We also demonstrate that near the critical points parameter estimation beyond the standard quantum limit can be implemented. This work not only advances the exploration of excited-state quantum phase transitions via a scheme that can immediately be applied to a broad class of few-mode quantum systems, but also provides a new perspective on the relationship between quantum criticality and quantum enhanced sensing.http://doi.org/10.1103/PhysRevResearch.5.013087
spellingShingle Lu Zhou
Jia Kong
Zhihao Lan
Weiping Zhang
Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
Physical Review Research
title Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
title_full Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
title_fullStr Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
title_full_unstemmed Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
title_short Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
title_sort dynamical quantum phase transitions in a spinor bose einstein condensate and criticality enhanced quantum sensing
url http://doi.org/10.1103/PhysRevResearch.5.013087
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