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

页码：2051 / 2064

页数：13

共 50 条

[21] Markovian master equations and resonances in quantum open systems
Kossakowski, A
IRREVERSIBLE QUANTUM DYNAMICS, 2003, 622 : 303 - 314
[22] Perturbative and nonperturbative master equations for open quantum systems
Zhu, WS
Rabitz, H
JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (02)
[23] Two-site realization of the Davydov model in a finite size lattice: A time-convolutionless master equation approach
Pouthier, Vincent
PHYSICAL REVIEW E, 2007, 75 (06):
[24] Convolutionless non-Markovian master equations and quantum trajectories: Brownian motion
Strunz, WT
Yu, T
PHYSICAL REVIEW A, 2004, 69 (05): : 052115 - 1
[25] Derivation of Bloch equations from the time convolutionless generalized master equation
Frege, O
CZECHOSLOVAK JOURNAL OF PHYSICS, 1998, 48 (08) : 933 - 952
[26] Dynamics of a narrow-band exciton coupled with optical phonons: A time-convolutionless master-equation approach
Pouthier, Vincent
PHYSICAL REVIEW B, 2009, 80 (14)
[27] FROM CONVOLUTIONLESS GENERALIZED MASTER TO PAULI MASTER-EQUATIONS
CAPEK, V
CZECHOSLOVAK JOURNAL OF PHYSICS, 1995, 45 (12) : 1111 - 1114
[28] Tutorial: projector approach to master equations for open quantum systems
Gonzalez-Ballestero, C.
QUANTUM, 2024, 8
[29] TIME-CONVOLUTIONLESS REDUCED-DENSITY-OPERATOR THEORY OF AN ARBITRARY DRIVEN SYSTEM COUPLED TO A STOCHASTIC RESERVOIR - QUANTUM KINETIC-EQUATIONS FOR SEMICONDUCTORS
AHN, D
PHYSICAL REVIEW B, 1994, 50 (12): : 8310 - 8318
[30] TIME CONVOLUTIONLESS GENERALIZED MASTER-EQUATIONS AND PHONON-ASSISTED HOPPING
CAPEK, V
JOURNAL DE PHYSIQUE, 1983, 44 (07): : 767 - 774

← 1 2 3 4 5 →