Samara National Research University, 34, Moskovskoe shosse, Samara, 443086, Russian Federation.
Quantum Research Group, School of Chemistry and Physics, University of KwaZulu-Natal, Durban 4001, South Africa.
Phys Rev E. 2017 Dec;96(6-1):063313. doi: 10.1103/PhysRevE.96.063313. Epub 2017 Dec 26.
We investigate generalized non-Markovian stochastic Schrödinger equations (SSEs), driven by a multidimensional counting process and multidimensional Brownian motion introduced by A. Barchielli and C. Pellegrini [J. Math. Phys. 51, 112104 (2010)JMAPAQ0022-248810.1063/1.3514539]. We show that these SSEs can be translated in a nonlinear form, which can be efficiently simulated. The simulation is illustrated by the model of a two-level system in a structured bath, and the results of the simulations are compared with the exact solution of the generalized master equation.
我们研究了由 A. Barchielli 和 C. Pellegrini 引入的多维计数过程和多维布朗运动驱动的广义非马尔可夫随机薛定谔方程(SSE)。[J. Math. Phys. 51, 112104 (2010)JMAPAQ0022-248810.1063/1.3514539]。我们表明,这些 SSE 可以以非线性形式转换,可以有效地进行模拟。通过结构浴中二能级系统的模型来说明模拟,并且将模拟的结果与广义主方程的精确解进行比较。