Solving non-Markovian open quantum systems with multi-channel reservoir coupling

被引：15

作者：

Broadbent, Curtis J. ^{[1
,2
]}

Jing, Jun ^{[3
,4
]}

Yu, Ting ^{[3
,4
]}

Eberly, Joseph H. ^{[1
,2
]}

机构：

[1] Univ Rochester, Rochester Theory Ctr, Rochester, NY 14627 USA

[2] Univ Rochester, Dept Phys & Astron, Rochester, NY 14627 USA

[3] Stevens Inst Technol, Ctr Controlled Quantum Syst, Hoboken, NJ 07030 USA

[4] Stevens Inst Technol, Dept Phys & Engn Phys, Hoboken, NJ 07030 USA

来源：

ANNALS OF PHYSICS | 2012年 / 327卷 / 08期

基金：

美国国家科学基金会;

关键词：

Open quantum systems; Decoherence; Quantum state diffusion; Master equation; Stochastic Schrodinger equation; Non-Markovian systems; DECOHERENCE-FREE SUBSPACES; STATE DIFFUSION; BROWNIAN-MOTION; DYNAMICAL SEMIGROUPS; MASTER EQUATION; TRAJECTORIES; DISSIPATION; COMPUTATION;

D O I：

10.1016/j.aop.2012.05.006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend the non-Markovian quantum state diffusion (QSD) equation to open quantum systems which exhibit multi-channel coupling to a harmonic oscillator reservoir. Open quantum systems which have multi-channel reservoir coupling are those in which canonical transformation of reservoir modes cannot reduce the number of reservoir operators appearing in the interaction Hamiltonian to one. We show that the non-Markovian QSD equation for multi-channel reservoir coupling can, in some cases, lead to an exact master equation which we derive. We then derive the exact master equation for the three-level system in a vee-type configuration which has multi-channel reservoir coupling and give the analytical solution. Finally, we examine the evolution of the three-level vee-type system with generalized Ornstein-Uhlenbeck reservoir correlations numerically. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1962 / 1973

页数：12

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