量子布朗运动的基本问题
Fundamental Aspects of Quantum Brownian Motion
摘要：
通过这项工作，我们阐述了在热平衡和静态非平衡量子噪声的物理。从著名的量子涨落-耗散定理出发，我们讨论了在热平衡中开放的耗散量子系统必须成立的一些重要结果。量子耗散的问题与阻尼谐振子的基本问题的例子。量子涨落的作用进行了讨论的背景下，非线性广义量子朗之万方程和路径积分的方法。我们讨论了开放耗散量子动力学的时间反演对称性的后果，并指出了一系列的微妙之处和可能的陷阱。将路径积分方法应用于量子布朗噪声辅助下的亚稳态衰变。
英文摘要：
With this work we elaborate on the physics of quantum noise in thermal equilibrium and in stationary non-equilibrium. Starting out from the celebrated quantum fluctuation-dissipation theorem we discuss some important consequences that must hold for open, dissipative quantum systems in thermal equilibrium. The issue of quantum dissipation is exemplified with the fundamental problem of a damped harmonic quantum oscillator. The role of quantum fluctuations is discussed in the context of both, the nonlinear generalized quantum Langevin equation and the path integral approach. We discuss the consequences of the time-reversal symmetry for an open dissipative quantum dynamics and, furthermore, point to a series of subtleties and possible pitfalls. The path integral methodology is applied to the decay of metastable states assisted by quantum Brownian noise.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
