Chatterjee Amit Kumar, Takada Satoshi, Hayakawa Hisao
Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan.
Department of Mechanical Systems Engineering and Institute of Engineering, Tokyo University of Agriculture and Technology, 2-24-16 Naka-cho, Koganei, Tokyo 184-8588, Japan.
Phys Rev Lett. 2023 Aug 25;131(8):080402. doi: 10.1103/PhysRevLett.131.080402.
We demonstrate the quantum Mpemba effect in a quantum dot coupled to two reservoirs, described by the Anderson model. We show that the system temperatures starting from two different initial values (hot and cold) cross each other at finite time (and thereby reverse their identities; i.e., hot becomes cold and vice versa) to generate thermal quantum Mpemba effect. The slowest relaxation mode believed to play the dominating role in Mpemba effect in Markovian systems does not contribute to such anomalous relaxation in the present model. In this connection, our analytical result provides necessary condition for producing quantum Mpemba effect in the density matrix elements of the quantum dot, as a combined effect of the remaining relaxation modes.
我们在由安德森模型描述的、与两个库耦合的量子点中展示了量子姆潘巴效应。我们表明，从两个不同初始值（热和冷）开始的系统温度在有限时间内相互交叉（从而反转它们的特性；即热变冷，反之亦然），以产生热量子姆潘巴效应。在马尔可夫系统中，被认为在姆潘巴效应中起主导作用的最慢弛豫模式在当前模型中对这种异常弛豫没有贡献。就此而言，我们的分析结果为在量子点的密度矩阵元中产生量子姆潘巴效应提供了必要条件，这是其余弛豫模式的综合效应。
