论文标题
非线性开放量子系统的非平衡动力学的波动散落关系
Fluctuation-Dissipation Relation from the Nonequilibrium Dynamics of a Nonlinear Open Quantum System
论文作者
论文摘要
继续我们对开放量子系统的非平衡动态（超过线性响应理论的传统FDR）的情况下，继续我们对何时出现波动 - 隔离关系（FDR）的调查，我们转向Nongaussian Systems，并考虑此问题，以使Anharmonic振荡器与标量量子量浴室相互作用。我们介绍了一般的{非驱动}表达式，以示出非谐波振荡器和热浴之间的能量速率（功率）交换。对于存在稳定的最终平衡状态的情况，以及非谐波振荡器的两点函数的非平稳组成部分对电力平衡的评估具有可忽略的贡献，我们可以非扰动地表明，平衡意味着Anharmonic振荡器的FDR。然后，我们使用一个弱的非谐振荡器作为一个例子，以说明这两个假设的确是根据我们的一阶扰动结果来满足的：净能量交换在开放系统动力学中放松后消失，并且在较晚存在平衡状态。
Continuing our inquiry into the conditions when fluctuation-dissipation relations (FDR) may appear in the context of nonequilibrium dynamics of open quantum systems (over and beyond the conventional FDR from linear response theory) we turn to nonGaussian systems and consider this issue for an anharmonic oscillator interacting with a scalar quantum field bath. We present the general {nonperturbative} expressions for the rate of energy (power) exchange between the anharmonic oscillator and the thermal bath. For the cases that a stable final equilibrium state exists, and the nonstationary components of the two-point functions of the anharmonic oscillator have negligible contributions to the evaluation of the power balance, we can show nonperturbatively that equilibration implies an FDR for the anharmonic oscillator. We then use a weakly anharmonic oscillator as an example to illustrate that those two assumptions indeed are satisfied according to our first-order perturbative results: that the net energy exchange vanishes after relaxation in the open system dynamics and an equilibrium state exists at late times.
