基于经典拉格朗日函数的双随机力量子主方程
Quantum master equations from classical Lagrangians with two stochastic forces
摘要:
我们展示了如何一个大家庭的主方程,描述量子布朗运动的谐振子的阻尼不变的,可以推导出一个唯象的方法,假设环境可以模拟两个经典的随机力的基础上。这个族由三个与时间相关的关联函数(除了频率和阻尼系数)确定,并且它包括作为特殊情况的已知主方程,其耗散部分相对于坐标和动量算子是双线性的。
英文摘要:
We show how a large family of master equations, describing quantum Brownian motion of a harmonic oscillator with translationally invariant damping, can be derived within a phenomenological approach, based on the assumption that an environment can be simulated by two classical stochastic forces. This family is determined by three time-dependent correlation functions (besides the frequency and damping coefficients), and it includes as special cases the known master equations, whose dissipative part is bilinear with respect to the operators of coordinate and momentum.
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