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一次元二成分量子ガスにおけるダイナミクス

一维二元量子气体动力学

基本信息

批准号：
19J10852
负责人：
Mikkelsen Mathias
金额：
$ 0.58万
依托单位：
Okinawa Institute of Science and Technology Graduate University
依托单位国家：
日本
项目类别：
Grant-in-Aid for JSPS Fellows
财政年份：
2019
资助国家：
日本
起止时间：
2019-04-25 至 2021-03-31
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-19J10852/
关键词：
Information scrambling Quentum Quench Cold gases Strong correlations Irreversibility Speed limits Two-component gases quantum quenches exact diagonalization analytic solutions information scrambling operator scrambling cold atoms /

项目摘要

The information scrambling as measured by the squared commutator is shown to be directly proportional the the post-quench work fluctuations for interacting particles in a harmonic oscillator. This is analytically shown for 2 particles, numerically confirmed for up til 5 particles and analytic arguments imply that it must be true for N particles as well.Quantum speeds of reduced states are shown to be closely related to the correlation properties for 2+2 interacting quantum gases. For some quenches between different correlation regimes the system initially sees a dynamical rearrangement of the correlations, followed by relatively constant correlation properties accompanied by periodic oscillating behavior of one-body operators.

由平方交换子测量的信息扰频与谐振子中相互作用粒子的猝灭后功涨落成正比。这是解析显示为2粒子，数值证实了多达5个粒子和分析参数意味着它必须是真实的N粒子以及。约化态的量子速度被证明是密切相关的相关性质的2+2相互作用的量子气体。对于不同关联区域之间的某些猝灭，系统最初看到关联的动力学重排，随后是相对恒定的关联特性，伴随着单体算子的周期振荡行为。