Numerical solution of stochastic quantum master equations using stochastic interacting wave functions

JOURNAL OF COMPUTATIONAL PHYSICS

卷:367

Article

Mora, C. M.^1,2  Fernandez, J.¹  Biscay, R.³ 

[1] Univ Concepcion, Dept Ingn Matemat, Concepcion, Chile

[2] Univ Concepcion, CI2 MA, Concepcion, Chile

[3] Ctr Invest Matemat, Dept Probabilidad & Estadist, Guanajuato, Mexico

关键词: Stochastic quantum master equation;    Quantum measurement process;    Stochastic Schrodinger equation;    Stochastic differential equation;    Exponential numerical schemes;    Quantum trajectories;   

DOI  :  10.1016/j.jcp.2018.03.045

来源: Elsevier

【 摘 要 】

We develop a new approach for solving stochastic quantum master equations with mixed initial states. First, we obtain that the solution of the jump-diffusion stochastic master equation is represented by a mixture of pure states satisfying a system of stochastic differential equations of Schrodinger type. Then, we design three exponential schemes for these coupled stochastic Schrodinger equations, which are driven by Brownian motions and jump processes. Hence, we have constructed efficient numerical methods for the stochastic master equations based on quantum trajectories. The good performance of the new numerical integrators is illustrated by simulations of two quantum measurement processes. (c) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free