Dynamics of dissipative quantum systems: From path integrals to master equations

被引:0
作者
Ankerhold, J [1 ]
机构
[1] Univ Freiburg, Inst Phys, D-79104 Freiburg, Germany
来源
IRREVERSIBLE QUANTUM DYNAMICS | 2003年 / 622卷
关键词
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The path integral approach offers not only an exact expression for the nonequilibrium dynamics of dissipative quantum systems, but is also a convenient starting point for perturbative treatments. An alternative way to explore the influence of friction in the quantum realm is based on master equations which require, however, in one or the other aspect approximations. Here it is discussed under which conditions and limitations Markovian master equations can be derived from exact path integrals thus providing a firm basis for their applicability.
引用
收藏
页码:165 / 178
页数:14
相关论文
共 50 条
[41]   Dynamics of systems with varying number of particles: From Liouville equations to general master equations for open systems [J].
del Razo, Mauricio J. ;
Delle Site, Luigi .
SCIPOST PHYSICS, 2025, 18 (01)
[42]   Five lectures on dissipative master equations [J].
Englert, BG ;
Morigi, G .
COHERENT EVOLUTION IN NOISY ENVIRONMENTS, 2002, 611 :55-106
[43]   Calculation of master integrals by difference equations [J].
Laporta, S .
PHYSICS LETTERS B, 2001, 504 (1-2) :188-194
[44]   Master integrals for splitting functions from differential equations in QCD [J].
Oleksandr Gituliar .
Journal of High Energy Physics, 2016
[45]   Master integrals for splitting functions from differential equations in QCD [J].
Gituliar, Oleksand .
JOURNAL OF HIGH ENERGY PHYSICS, 2016, (02) :1-18
[46]   QUANTUM PROBABILITIES IN OPEN DISSIPATIVE SYSTEMS - A PATH INTEGRAL DERIVATION [J].
SAMI, T ;
RICHERT, J .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1986, 93 (02) :159-174
[48]   Path-integral description of combined Hamiltonian and non-Hamiltonian dynamics in quantum dissipative systems [J].
Barth, A. M. ;
Vagov, A. ;
Axt, V. M. .
PHYSICAL REVIEW B, 2016, 94 (12)
[49]   Simulation of quantum systems using path integrals in a generalized ensemble [J].
Andricioaei, I ;
Straub, JE ;
Karplus, M .
CHEMICAL PHYSICS LETTERS, 2001, 346 (3-4) :274-282
[50]   Markovian master equations and resonances in quantum open systems [J].
Kossakowski, A .
IRREVERSIBLE QUANTUM DYNAMICS, 2003, 622 :303-314