Time-Convolutionless Master Equations for Composite Open Quantum Systems

被引：1
|
作者：
Karasev A.Y. [1 ]
Teretenkov A.E. [2 ]
机构：
[1] Faculty of Physics, Lomonosov Moscow State University, Moscow
[2] Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow
来源：
Lobachevskii Journal of Mathematics | 2023年 / 44卷 / 6期
关键词：
composite systems; master equation; open quantum system;
D O I：
10.1134/S1995080223060239
中图分类号：
学科分类号：
摘要：
Abstract: In this work we consider the master equations for composite open quantum systems. We provide purely algebraic formulae for terms of perturbation series defining such equations. We also give conditions under which the Bogolubov–van Hove limit exists and discuss some corrections to this limit. We present an example to illustrate our results. In particular, this example shows, that inhomogeneous terms in time-convolutionless master equations can vanish after reservoir correlation time, but lead to renormalization of initial conditions at such a timescale. © 2023, Pleiades Publishing, Ltd.
引用
收藏
页码：2051 / 2064
页数：13
相关论文
共 50 条
  • [41] Invalidation of the Bloch-Redfield equation in the sub-Ohmic regime via a practical time-convolutionless fourth-order master equation
    Crowder, Elyana
    Lampert, Lance
    Manchanda, Grihith
    Shoffeitt, Brian
    Gadamsetty, Srikar
    Pei, Yiting
    Chaudhary, Shantanu
    Davidovic, Dragomir
    PHYSICAL REVIEW A, 2024, 109 (05)
  • [42] Many-body open quantum systems beyond Lindblad master equations
    Xu, Xiansong
    Thingna, Juzar
    Guo, Chu
    Poletti, Dario
    PHYSICAL REVIEW A, 2019, 99 (01)
  • [43] Exact Generator and its High Order Expansions in Time-Convolutionless Generalized Master Equation: Applications to Spin-Boson Model and Exictation Energy Transfer
    Liu, Yan-ying
    Yan, Ya-ming
    Xu, Meng
    Song, Kai
    Shi, Qiang
    CHINESE JOURNAL OF CHEMICAL PHYSICS, 2018, 31 (04) : 575 - 583
  • [44] TIME-CONVOLUTIONLESS PROJECTION OPERATOR FORMALISM FOR ELIMINATION OF FAST VARIABLES - APPLICATIONS TO BROWNIAN-MOTION
    CHATURVEDI, S
    SHIBATA, F
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1979, 35 (03): : 297 - 308
  • [45] Diagrammatic time-local master equation for open quantum systems
    Gu, Bing
    PHYSICAL REVIEW A, 2020, 101 (01)
  • [46] Partial-trace-free time-convolutionless equation of motion for the reduced density matrix
    Knezevic, I
    Ferry, DK
    PHYSICAL REVIEW E, 2002, 66 (01):
  • [47] STATISTICAL-DYNAMICAL THEORY OF NON-LINEAR STOCHASTIC-PROCESSES .2. TIME-CONVOLUTIONLESS PROJECTOR METHOD IN NON-EQUILIBRIUM OPEN SYSTEMS
    TOKUYAMA, M
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1981, 109 (1-2) : 128 - 160
  • [48] Bridging between laboratory and rotating-frame master equations for open quantum systems
    Shavit, Gal
    Horovitz, Baruch
    Goldstein, Moshe
    PHYSICAL REVIEW B, 2019, 100 (19)
  • [49] Initial correlations in open quantum systems: constructing linear dynamical maps and master equations
    Colla, Alessandra
    Neubrand, Niklas
    Breuer, Heinz-Peter
    NEW JOURNAL OF PHYSICS, 2022, 24 (12):
  • [50] ON THE THEORY OF FLUCTUATIONS AROUND NONEQUILIBRIUM STEADY-STATES - A GENERALIZED TIME-CONVOLUTIONLESS PROJECTOR FORMALISM
    TOKUYAMA, M
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1980, 102 (03) : 399 - 430
12345