论文标题
开放量子系统的非线性主方程
A Nonlinear Master Equation for Open Quantum Systems
论文作者
论文摘要
得出了非线性主方程，正确反映了开放量子系统的熵。与线性替代方案相反，其平衡解决方案正是典型的吉布斯密度矩阵。 Wigner函数的相应非线性方程对热量子熵进行了严格的帐户。它在坐标子空间中的Smoluchowski-bohm方程中大大减少了，这反映了随机的Langevin-bohm动力学。证实了量子布朗尼颗粒的非平衡动量分散的先前衍生的麦克斯韦 - 海森贝格关系，以及布朗尼经典爱因斯坦法律的相关量子概括。
A nonlinear master equation is derived, reflecting properly the entropy of open quantum systems. In contrast to linear alternatives, its equilibrium solution is exactly the canonical Gibbs density matrix. The corresponding nonlinear equation for the Wigner function accounts rigorously for the thermo-quantum entropy. It reduces at large friction to the Smoluchowski-Bohm equation in the coordinate subspace, which reflects the stochastic Langevin-Bohm dynamics. The previously derived Maxwell-Heisenberg relation for the nonequilibrium momentum dispersion of quantum Brownian particles is confirmed as well as the related quantum generalization of the classical Einstein law of Brownian motion.
