Lindbladian operators, von Neumann entropy and energy conservation in time-dependent quantum open systems
Lindbladian operators, von Neumann entropy and energy conservation in time-dependent quantum open systems
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DOI：
10.1016/j.physa.2016.09.016
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发表时间：
2017-01-15
影响因子：
3.3
通讯作者：
Abe, Sumiyoshi
中科院分区：
文献类型：
--
作者：
Ou, Congjie;Chamberlin, Ralph V.;Abe, Sumiyoshi
Lindblad方程被广泛应用于马尔可夫量子开放系统的研究。这里提出了如下问题：在具有依赖时间的哈密顿量的量子开放系统中，例如与热浴接触的子系统，对于保持子系统内能在时间上恒定的量子态，对应的Lindblad方程是什么？这个问题对于实现量子电路和电池等开放系统的准稳态具有重要意义。作为例子，对含时谐振子进行了分析。证明了Lindbladian算子是借助于李代数结构唯一确定的，如果调和势曲率随时间单调减小，则von Neumann熵的时间导数是非负的。(C)2016爱思唯尔B.V.保留所有权利。
The Lindblad equation is widely employed in studies of Markovian quantum open systems. Here, the following question is posed: in a quantum open system with a time-dependent Hamiltonian such as a subsystem in contact with the heat bath, what is the corresponding Lindblad equation for the quantum state that keeps the internal energy of the subsystem constant in time? This issue is of importance in realizing quasi-stationary states of open systems such as quantum circuits and batteries. As an illustrative example, the time dependent harmonic oscillator is analyzed. It is shown that the Lindbladian operator is uniquely determined with the help of a Lie-algebraic structure, and the time derivative of the von Neumann entropy is shown to be nonnegative if the curvature of the harmonic potential monotonically decreases in time. (C) 2016 Elsevier B.V. All right reserved.