LOCAL APPROACH TO THE NON-MARKOVIAN EVOLUTION OF QUANTUM SYSTEMS

被引:2
|
作者
Chruscinski, Dariusz [1 ]
Kossakowski, Andrzej [1 ]
机构
[1] Nicolaus Copernicus Univ, Inst Phys, PL-87100 Torun, Poland
关键词
Open systems; quantum dynamics; non-Markovian evolution; DYNAMICAL SEMIGROUPS; MASTER-EQUATIONS; GENERATORS;
D O I
10.1142/S0219749911007149
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We analyze a local approach to the non-Markovian evolution of open quantum systems. It turns out that any dynamical map representing evolution of such a system may be described either by non-local master equation with memory kernel or equivalently by equation which is local in time. The price one pays for the local approach is that the corresponding generator might be highly singular and it keeps the memory about the starting point "t(0)". This is the very essence of non-Markovianity. We illustrate a local approach by simple examples.
引用
收藏
页码:129 / 138
页数:10
相关论文
共 50 条
  • [11] Local evolution equations for non-Markovian processes
    Olla, P
    Pignagnoli, L
    PHYSICS LETTERS A, 2006, 350 (1-2) : 51 - 55
  • [12] Non-Markovian Evolution: a Quantum Walk Perspective
    Kumar, N. Pradeep
    Banerjee, Subhashish
    Srikanth, R.
    Jagadish, Vinayak
    Petruccione, Francesco
    OPEN SYSTEMS & INFORMATION DYNAMICS, 2018, 25 (03):
  • [13] NON-MARKOVIAN QUANTUM EVOLUTION: TIME-LOCAL GENERATORS AND MEMORY KERNELS
    Chruscinski, Dariusz
    Nalezyty, Pawel
    REPORTS ON MATHEMATICAL PHYSICS, 2016, 77 (03) : 399 - 414
  • [14] Quantum filter for a class of non-Markovian quantum systems
    Xue, Shibei
    James, Matthew R.
    Shabani, Alireza
    Ugrinovskii, Valery
    Petersen, Ian R.
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 7096 - 7100
  • [15] Dynamics of non-Markovian open quantum systems
    de Vega, Ines
    Alonso, Daniel
    REVIEWS OF MODERN PHYSICS, 2017, 89 (01)
  • [16] Non-Markovian quantum trajectories for open systems
    Strunz, WT
    Diósi, L
    Gisin, N
    QUANTUM COMMUNICATION, COMPUTING, AND MEASUREMENT 2, 2000, : 195 - 200
  • [17] Trajectory tracking for non-Markovian quantum systems
    Wu, S. L.
    Ma, W.
    PHYSICAL REVIEW A, 2022, 105 (01)
  • [18] Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
    Ghoshal, Ahana
    Sen, Ujjwal
    PHYSICAL REVIEW A, 2022, 105 (02)
  • [19] Minimal evolution time and quantum speed limit of non-Markovian open systems
    Meng, Xiangyi
    Wu, Chengjun
    Guo, Hong
    SCIENTIFIC REPORTS, 2015, 5
  • [20] Local Disclosure of Quantum Memory in Non-Markovian Dynamics
    Baecker, Charlotte
    Beyer, Konstantin
    Strunz, Walter T.
    PHYSICAL REVIEW LETTERS, 2024, 132 (06)