Takahashi Kazutaka
Institute of Innovative Research, Tokyo Institute of Technology, Kanagawa 226-8503, Japan.
Department of Physics Engineering, Faculty of Engineering, Mie University, Mie 514-8507, Japan.
Philos Trans A Math Phys Eng Sci. 2022 Dec 26;380(2239):20210276. doi: 10.1098/rsta.2021.0276. Epub 2022 Nov 7.
We discuss dynamics of periodically driven open quantum systems. The time evolution of the quantum state is described by the quantum master equation, and the form of the dissipator is chosen so that the instantaneous stationary state is given by the Gibbs distribution. We find that the correlation between the population part and the coherence part of the density operator is induced by an adiabatic gauge potential. Although the introduction of the counterdiabatic term eliminates the correlation, additional correlations prevent convergence to the Gibbs distribution. We study the performance of the control by the counterdiabatic term. The system has three different scales and the performance strongly depends on the relations between their magnitudes. This article is part of the theme issue 'Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives'.
我们讨论周期性驱动的开放量子系统的动力学。量子态的时间演化由量子主方程描述，耗散算符的形式选择为使得瞬时稳态由吉布斯分布给出。我们发现密度算符的布居部分和相干部分之间的相关性是由绝热规范势诱导的。尽管引入反绝热项消除了这种相关性，但额外的相关性阻碍了向吉布斯分布的收敛。我们研究了反绝热项的控制性能。该系统有三个不同的尺度，其性能强烈依赖于它们大小之间的关系。本文是主题为“绝热捷径：理论、实验和跨学科视角”这一特刊的一部分。
