From Markovian semigroup to non-Markovian quantum evolution

被引:40
作者
Chruscinski, D. [1 ]
Kossakowski, A. [1 ]
机构
[1] Nicholas Copernicus Univ, Inst Phys, PL-87100 Torun, Poland
关键词
MASTER-EQUATIONS; DYNAMICAL SEMIGROUPS; ENTANGLEMENT; GENERATORS; SYSTEMS;
D O I
10.1209/0295-5075/97/20005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We provided a class of legitimate memory kernels leading to completely positive trace-preserving dynamical maps. Our construction is based on a simple normalization procedure. Interestingly, when applied to a classical system it gives rise to semi-Markov evolution. Therefore, it may be considered as a quantum version of semi-Markov dynamics which is much more general than Markovian dynamics. Copyright (C) EPLA, 2012
引用
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页数:6
相关论文
共 44 条
[1]   Fault-tolerant quantum computation with long-range correlated noise [J].
Aharonov, D ;
Kitaev, A ;
Preskill, J .
PHYSICAL REVIEW LETTERS, 2006, 96 (05)
[2]  
Alicki R., 1987, Lecture Notes in Physics
[3]   Making sense of non-Hermitian Hamiltonians [J].
Bender, Carl M. .
REPORTS ON PROGRESS IN PHYSICS, 2007, 70 (06) :947-1018
[4]  
Breuer H.P., 2007, THEORY OPEN QUANTUM, DOI DOI 10.1093/ACPROF:OSO/9780199213900.001.0001
[5]   Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems [J].
Breuer, Heinz-Peter ;
Laine, Elsi-Mari ;
Piilo, Jyrki .
PHYSICAL REVIEW LETTERS, 2009, 103 (21)
[6]   Structure of completely positive quantum master equations with memory kernel [J].
Breuer, Heinz-Peter ;
Vacchini, Bassano .
PHYSICAL REVIEW E, 2009, 79 (04)
[7]   Quantum semi-Markov processes [J].
Breuer, Heinz-Peter ;
Vacchini, Bassano .
PHYSICAL REVIEW LETTERS, 2008, 101 (14)
[8]   Genuine quantum trajectories for non-Markovian processes [J].
Breuer, HP .
PHYSICAL REVIEW A, 2004, 70 (01) :012106-1
[9]   Exact quantum jump approach to open systems in bosonic and spin baths [J].
Breuer, HP .
PHYSICAL REVIEW A, 2004, 69 (02) :8
[10]   Stochastic representation of a class of non-Markovian completely positive evolutions [J].
Budini, AA .
PHYSICAL REVIEW A, 2004, 69 (04) :042107-1