Ivanov Anton, Breuer Heinz-Peter
Physikalisches Institut, Universität Freiburg, Herrmann-Herder-Straße 3, D-79104 Freiburg, Germany.
Phys Rev E. 2017 Apr;95(4-1):042115. doi: 10.1103/PhysRevE.95.042115. Epub 2017 Apr 10.
We modify the path integral representation of exciton transport in open quantum systems such that an exact description of the quantum fluctuations around the classical evolution of the system is possible. As a consequence, the time evolution of the system observables is obtained by calculating the average of a stochastic difference equation which is weighted with a product of pseudoprobability density functions. From the exact equation of motion one can clearly identify the terms that are also present if we apply the truncated Wigner approximation. This description of the problem is used as a basis for the derivation of a new approximation, whose validity goes beyond the truncated Wigner approximation. To demonstrate this we apply the formalism to a donor-acceptor transport model.
我们修改了开放量子系统中激子传输的路径积分表示，从而能够对系统经典演化周围的量子涨落进行精确描述。结果，通过计算一个由伪概率密度函数的乘积加权的随机差分方程的平均值，得到了系统可观测量的时间演化。从精确的运动方程中，可以清楚地识别出在应用截断维格纳近似时也存在的项。对该问题的这种描述被用作推导一种新近似的基础，其有效性超出了截断维格纳近似。为了证明这一点，我们将该形式体系应用于供体 - 受体传输模型。
