中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Breakdown of quantum-classical correspondence and dynamical generation of entanglement

文献类型:期刊论文

作者Tian, Chushun1; Yang, Kun2,3
刊名PHYSICAL REVIEW B
出版日期2021
卷号104期号:17页码:174302
ISSN号2469-9950
关键词STATISTICAL-MECHANICS ERGODIC THEOREM H-THEOREM CHAOS THERMALIZATION DECOHERENCE ENTROPY PROOF
DOI10.1103/PhysRevB.104.174302
英文摘要The exchange interaction arising from particle indistinguishability is of central importance in the physics of many-particle quantum systems. Here we study analytically the dynamical generation of quantum entanglement induced by this interaction in an isolated system, namely, an ideal Fermi gas confined in a chaotic cavity, which is described by a non-Gaussian pure state and evolves unitarily from it. We find that the breakdown of the quantum-classical correspondence of particle motion, via the dramatic change in the spatial structure of the many-body wave function, leads to profound changes of the entanglement. Furthermore, for a class of initial states, the changes engender the approach to thermal equilibrium everywhere in the cavity, with the well-known Ehrenfest time in quantum chaos as the thermalization time. Specifically, the quantum expectation values of various correlation functions at different spatial scales are all determined by the Fermi-Dirac distribution. In addition, by using the reduced density matrix (RDM) and the entanglement entropy (EE) as local probes, we find that the gas inside a subsystem is in equilibrium with that outside, and that its thermal entropy is the EE, even though the whole system is in a pure state.
学科主题Materials Science ; Physics
语种英语
源URL[http://ir.itp.ac.cn/handle/311006/27593]  
专题理论物理研究所_理论物理所1978-2010年知识产出
作者单位1.Chinese Acad Sci, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
3.Florida State Univ, Natl High Magnet Field Lab, Tallahassee, FL 32306 USA
4.Florida State Univ, Dept Phys, Tallahassee, FL 32306 USA
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Tian, Chushun,Yang, Kun. Breakdown of quantum-classical correspondence and dynamical generation of entanglement[J]. PHYSICAL REVIEW B,2021,104(17):174302.
APA Tian, Chushun,&Yang, Kun.(2021).Breakdown of quantum-classical correspondence and dynamical generation of entanglement.PHYSICAL REVIEW B,104(17),174302.
MLA Tian, Chushun,et al."Breakdown of quantum-classical correspondence and dynamical generation of entanglement".PHYSICAL REVIEW B 104.17(2021):174302.

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来源:理论物理研究所

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