Master equations with memory for systems driven by classical noise

被引:28
作者
Cresser, J. D. [1 ]
Facer, C. [1 ]
机构
[1] Macquarie Univ, Dept Phys & Engn, Ctr Quantum Comp Technol, N Ryde, NSW 2109, Australia
关键词
Master equations; Non-Markovian; Classical noise; LASER-ATOM INTERACTIONS; QUANTUM; FLUCTUATIONS;
D O I
10.1016/j.optcom.2009.10.052
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A non-Markovian master equation is obtained for a two level atom driven by a phase noisy laser. The derivation is based on obtaining an equation for the density operator of the system averaged over the previous histories of the external noise. Averaging over the current value of the noise variable by means of the Zwanzig-Nakajima projection operator technique leads to a master equation with memory and a local-in-time master equation. The solutions to the resultant non-Markovian master equation, the structural properties of the equation, and the amenability of the equation to unravelling by the quantum trajectory method are all investigated. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:773 / 780
页数:8
相关论文
共 29 条
[1]   MASTER EQUATIONS FOR TIME CORRELATION-FUNCTIONS OF A QUANTUM SYSTEM INTERACTING WITH STOCHASTIC PERTURBATIONS AND APPLICATIONS TO EMISSION AND ABSORPTION-LINE SHAPES [J].
AGARWAL, GS .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1979, 33 (01) :111-124
[2]  
AGARWAL GS, 1976, PHYS REV LETT, V37, P1383, DOI 10.1103/PhysRevLett.37.1383
[3]   Finding the Kraus decomposition from a master equation and vice versa [J].
Andersson, Erika ;
Cresser, James D. ;
Hall, Michael J. W. .
JOURNAL OF MODERN OPTICS, 2007, 54 (12) :1695-1716
[4]  
Breuer H.P., 2006, The Theory of Open Quantum Systems
[5]   Stochastic analysis and simulation of spin star systems [J].
Breuer, Heinz-Peter ;
Petruccione, Francesco .
PHYSICAL REVIEW E, 2007, 76 (01)
[6]   Stochastic wave-function method for non-Markovian quantum master equations [J].
Breuer, HP ;
Kappler, B ;
Petruccione, F .
PHYSICAL REVIEW A, 1999, 59 (02) :1633-1643
[7]   Stochastic representation of a class of non-Markovian completely positive evolutions [J].
Budini, AA .
PHYSICAL REVIEW A, 2004, 69 (04) :042107-1
[8]   Quantum systems subject to the action of classical stochastic fields [J].
Budini, AA .
PHYSICAL REVIEW A, 2001, 64 (05) :12
[9]  
Carmichael H., 1993, OPEN SYSTEMS APPROAC
[10]   TIME-CONVOLUTIONLESS PROJECTION OPERATOR FORMALISM FOR ELIMINATION OF FAST VARIABLES - APPLICATIONS TO BROWNIAN-MOTION [J].
CHATURVEDI, S ;
SHIBATA, F .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1979, 35 (03) :297-308