自旋等能过程与林德布拉德方程。
Spin Isoenergetic Process and the Lindblad Equation.
作者信息
Ou Congjie, Yokoi Yuho, Abe Sumiyoshi
机构信息
Physics Division, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China.
Department of Physical Engineering, Mie University, Mie 514-8507, Japan.
出版信息
Entropy (Basel). 2019 May 17;21(5):503. doi: 10.3390/e21050503.
A general comment is made on the existence of various baths in quantum thermodynamics, and a brief explanation is presented about the concept of weak invariants. Then, the isoenergetic process is studied for a spin in a magnetic field that slowly varies in time. In the Markovian approximation, the corresponding Lindbladian operators are constructed without recourse to detailed information about the coupling of the subsystem with the environment called the energy bath. The entropy production rate under the resulting Lindblad equation is shown to be positive. The leading-order expressions of the power output and work done along the isoenergetic process are obtained.
对量子热力学中各种热库的存在进行了一般性评论，并对弱不变量的概念进行了简要解释。然后，研究了在随时间缓慢变化的磁场中自旋的等能过程。在马尔可夫近似下，构造了相应的林德布拉德算子，而无需依赖于关于子系统与称为能量热库的环境耦合的详细信息。结果表明，所得林德布拉德方程下的熵产生率为正。得到了沿等能过程的功率输出和功的主导阶表达式。
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