Positivity preserving non-Markovian master equations

被引：56
|
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
收藏
页码：8808 / 8810
页数：3
相关论文
共 50 条
  • [1] Sufficient conditions for positivity of non-Markovian master equations with Hermitian generators
    Wilkie, Joshua
    Wong, Yin Mei
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (01)
  • [2] A tomographic approach to non-Markovian master equations
    Bellomo, Bruno
    De Pasquale, Antonella
    Gualdi, Giulia
    Marzolino, Ugo
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (39)
  • [3] On the Structure of Generators for Non-Markovian Master Equations
    Kossakowski, Andrzej
    Rebolledo, Rolando
    [J]. OPEN SYSTEMS & INFORMATION DYNAMICS, 2009, 16 (2-3): : 259 - 268
  • [4] Selected aspects of Markovian and non-Markovian quantum master equations
    Lendi, K
    [J]. IRREVERSIBLE QUANTUM DYNAMICS, 2003, 622 : 31 - 46
  • [5] Exact master equations for the non-Markovian decay of a qubit
    Vacchini, Bassano
    Breuer, Heinz-Peter
    [J]. PHYSICAL REVIEW A, 2010, 81 (04)
  • [6] Non-Markovian master equations from piecewise dynamics
    Vacchini, Bassano
    [J]. PHYSICAL REVIEW A, 2013, 87 (03)
  • [7] Equilibration and asymptotic stationarity for non-Markovian master equations
    Wilkie, Joshua
    Wong, Yin Mei
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (27)
  • [8] Markovian Embeddings of Non-Markovian Quantum Systems: Coupled Stochastic and Quantum Master Equations for Non-Markovian Quantum Systems
    Nurdin, Hendra I.
    [J]. 2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 5939 - 5944
  • [9] Conditions for Bounded Solutions of Non-Markovian Quantum Master Equations
    A. Aissani
    K. Lendi
    [J]. Journal of Statistical Physics, 2003, 111 : 1353 - 1362
  • [10] Quantum versus classical counting in non-Markovian master equations
    Emary, Clive
    Aguado, R.
    [J]. PHYSICAL REVIEW B, 2011, 84 (08):
12345