Quantum semi-Markov processes

被引:117
作者
Breuer, Heinz-Peter [1 ,2 ]
Vacchini, Bassano [3 ,4 ]
机构
[1] Univ Freiburg, Inst Phys, D-79104 Freiburg, Germany
[2] Inst Adv Study, D-27753 Delmenhorst, Germany
[3] Univ Milan, Dipartimento Fis, I-20133 Milan, Italy
[4] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy
关键词
D O I
10.1103/PhysRevLett.101.140402
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We construct a large class of non-Markovian master equations that describe the dynamics of open quantum systems featuring strong memory effects, which relies on a quantum generalization of the concept of classical semi-Markov processes. General conditions for the complete positivity of the corresponding quantum dynamical maps are formulated. The resulting non-Markovian quantum processes allow the treatment of a variety of physical systems, as is illustrated by means of various examples and applications, including quantum optical systems and models of quantum transport.
引用
收藏
页数:4
相关论文
共 29 条
[1]  
ALICKI R, 2007, EUR PHYS J SPECIAL T, V151
[2]   Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit [J].
Alicki, Robert ;
Lidar, Daniel A. ;
Zanardi, Paolo .
PHYSICAL REVIEW A, 2006, 73 (05)
[3]  
[Anonymous], 1995, RANDOM WALKS RANDOM, DOI [DOI 10.1079/PNS19950063, 10.1079/PNS19950063]
[4]   Hazards of reservoir memory [J].
Barnett, SM ;
Stenholm, S .
PHYSICAL REVIEW A, 2001, 64 (03) :5
[5]  
Breuer H-P, 2007, THEORY OPEN QUANTUM, DOI DOI 10.1093/ACPROF:OSO/9780199213900.001.0001
[6]   Non-Markovian generalization of the Lindblad theory of open quantum systems [J].
Breuer, Heinz-Peter .
PHYSICAL REVIEW A, 2007, 75 (02)
[7]   Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging [J].
Breuer, HP ;
Gemmer, J ;
Michel, M .
PHYSICAL REVIEW E, 2006, 73 (01)
[8]   Random Lindblad equations from complex environments [J].
Budini, AA .
PHYSICAL REVIEW E, 2005, 72 (05)
[9]   Stochastic representation of a class of non-Markovian completely positive evolutions [J].
Budini, AA .
PHYSICAL REVIEW A, 2004, 69 (04) :042107-1
[10]   Non-Markovian master equations from entanglement with stationary unobserved degrees of freedom [J].
Budini, AA ;
Schomerus, H .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (42) :9251-9262