论文标题
驱动量子布朗运动模型中熵的量子校正
Quantum corrections to the entropy in a driven quantum Brownian motion model
论文作者
论文摘要
量子布朗运动模型是研究非平衡量子热力学研究的典型模型。熵是热力学中最基本的物理概念之一。在这项工作中，通过求解量子Langevin方程，我们研究了经历量子布朗尼运动的粒子的von Neumann熵。在强耦合方案和弱耦合方案中，我们都以初始Wigner函数来获得Wigner函数时间演变的分析表达。结果应用于热力学平衡初始状态，该状态在高温极限中重现其经典对应物。基于这些结果，对于那些具有明确定义的经典对应物的初始状态，我们获得了对系统熵的量子校正的明确表达。此外，在马尔可夫近似值下，我们获得了量子校正的表达式，即总熵生产率$ {e _ {\ rm p}} $和热量散热率$ {h _ {\ rm d}} $。我们的结果为对开放量子系统中熵的理解带来了重要的见解。
Quantum Brownian motion model is a typical model in the study of nonequilibrium quantum thermodynamics. Entropy is one of the most fundamental physical concepts in thermodynamics. In this work, by solving the quantum Langevin equation, we study the von Neumann entropy of a particle undergoing quantum Brownian motion. In both the strong and the weak coupling regimes, we obtain the analytical expression of the time evolution of the Wigner function in terms of the initial Wigner function. The result is applied to the thermodynamic equilibrium initial state, which reproduces its classical counterpart in the high-temperature limit. Based on these results, for those initial states having well-defined classical counterparts, we obtain the explicit expression of the quantum corrections to the entropy of the system. Moreover, under the Markovian approximation, we obtain the expression of the quantum corrections to the total entropy production rate ${e_{\rm p}}$ and the heat dissipation rate ${h_{\rm d}}$. Our results bring important insights to the understanding of entropy in open quantum systems.
