Positivity preserving non-Markovian master equations

被引：57

作者：

Wilkie, J ^{[1
]}

机构：

[1] Simon Fraser Univ, Dept Chem, Burnaby, BC V5A 1S6, Canada

来源：

PHYSICAL REVIEW E | 2000年 / 62卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.62.8808

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A general class of integrodifferential non-Markovian master equations is developed which is representative of the dynamics of small subsystems interacting with open reservoirs with memory, Conditions which guarantee positivity of the subsystem reduced density are established.

引用

页码：8808 / 8810

页数：3

共 29 条

[1] Alicki R., 2007, Volume 717 of Lecture Notes in Physics, V717
[2] INTEGRAL-EQUATIONS AS EVOLUTION-EQUATIONS
CHEN, G
GRIMMER, R
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1982, 45 (01) : 53 - 74
[3] Relative diffusion and memory effects in supercooled water
De Santis, A
Ercoli, A
Rocca, D
[J]. PHYSICAL REVIEW E, 1998, 57 (05): : R4871 - R4874
[4] THE THEORY OF A GENERAL QUANTUM SYSTEM INTERACTING WITH A LINEAR DISSIPATIVE SYSTEM
FEYNMAN, RP
VERNON, FL
[J]. ANNALS OF PHYSICS, 1963, 24 (01) : 118 - 173
[5] Slippage of initial conditions for the Redfield master equation
Gaspard, P
Nagaoka, M
[J]. JOURNAL OF CHEMICAL PHYSICS, 1999, 111 (13) : 5668 - 5675
[6] COMPLETELY POSITIVE DYNAMICAL SEMIGROUPS OF N-LEVEL SYSTEMS
GORINI, V
KOSSAKOWSKI, A
SUDARSHAN, ECG
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (05) : 821 - 825
[7] Coherences and populations in the driven damped two-state system
Grifoni, M
Winterstetter, M
Weiss, U
[J]. PHYSICAL REVIEW E, 1997, 56 (01) : 334 - 345
[8] Dissipation, decoherence and preparation effects in the spin-boson system
Grifoni, M
Paladino, E
Weiss, U
[J]. EUROPEAN PHYSICAL JOURNAL B, 1999, 10 (04) : 719 - 729
[9] Non-Markovian dynamics of the vibrations of ions in water from femtosecond infrared three-pulse photon echoes
Hamm, P
Lim, M
Hochstrasser, RM
[J]. PHYSICAL REVIEW LETTERS, 1998, 81 (24) : 5326 - 5329
[10] Phase space approach to theories of quantum dissipation
Kohen, D
Marston, CC
Tannor, DJ
[J]. JOURNAL OF CHEMICAL PHYSICS, 1997, 107 (13) : 5236 - 5253

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