The simulation of the non-Markovian behaviour of a two-level system

被引：4

作者：

Semina, I. ^{[1
]}

Petruccione, F. ^{[2
,3
]}

机构：

[1] Univ KwaZulu Natal, Quantum Res Grp, ZA-4001 Durban, South Africa

[2] Univ KwaZulu Natal, Sch Phys, Quantum Res Grp, ZA-4001 Durban, South Africa

[3] Univ KwaZulu Natal, Natl Inst Theoret Phys, ZA-4001 Durban, South Africa

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 450卷

基金：

新加坡国家研究基金会;

关键词：

Open quantum system; Stochastic Schrodinger equation; Coloured noise; QUANTUM;

D O I：

10.1016/j.physa.2016.01.042

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Non-Markovian relaxation dynamics of a two-level system is studied with the help of the non-linear stochastic Schrodinger equation with coloured Ornstein-Uhlenbeck noise. This stochastic Schrodinger equation is investigated numerically with an adapted Platen scheme. It is shown, that the memory effects have a significant impact to the dynamics of the system. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：395 / 402

页数：8

共 19 条

[1]

Barchielli A, 2009, LECT NOTES PHYS, V782, P1, DOI 10.1007/978-3-642-01298-3

[2]

Barchielli A, 2011, QTM PROB WHT NOI, V27, P52

[3] Stochastic Schrodinger equations with coloured noise [J].

Barchielli, A. ;

Pellegrini, C. ;

Petruccione, F. .

EPL, 2010, 91 (02)

[4] CONSTRUCTING QUANTUM MEASUREMENT PROCESSES VIA CLASSICAL STOCHASTIC CALCULUS [J].

BARCHIELLI, A ;

HOLEVO, AS .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1995, 58 (02) :293-317

[5]

Breuer H.-P., 2007, The Theory of Open Quantum Systems

[6] Stochastic wave-function method versus density matrix: a numerical comparison [J].

Breuer, HP ;

Huber, W ;

Petruccione, F .

COMPUTER PHYSICS COMMUNICATIONS, 1997, 104 (1-3) :46-58

[7] Numerical integration methods for stochastic wave function equations [J].

Breuer, HP ;

Dorner, U ;

Petruccione, F .

COMPUTER PHYSICS COMMUNICATIONS, 2000, 132 (1-2) :30-43

[8] The time-convolution less projection operator technique in the quantum of theory of dissipation and decoherence [J].

Breuer, HP ;

Kappler, B ;

Petruccione, F .

ANNALS OF PHYSICS, 2001, 291 (01) :36-70

[9]

Carmichael H., 1993, OPEN SYSTEMS APPROAC

[10] Non-Markovian continuous quantum measurement of retarded observables [J].

Diosi, Lajos .

PHYSICAL REVIEW LETTERS, 2008, 100 (08)

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