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 |
DOI | 10.1103/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 |
推荐引用方式 GB/T 7714 | 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. |
入库方式: OAI收割
来源:理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。