Generalized Adiabatic Theorem and Strong-Coupling Limits

被引:37
作者
Burgarth, Daniel [1 ]
Facchi, Paolo [2 ,3 ,4 ]
Nakazato, Hiromichi [5 ]
Pascazio, Saverio [2 ,3 ,4 ,6 ]
Yuasa, Kazuya [5 ]
机构
[1] Macquarie Univ, Ctr Engn Quantum Syst, Dept Phys & Astron, N Ryde, NSW 2109, Australia
[2] Univ Bari, Dipartimento Fis, I-70126 Bari, Italy
[3] Univ Bari, MECENAS, I-70126 Bari, Italy
[4] Ist Nazl Fis Nucl, Sez Bari, I-70126 Bari, Italy
[5] Waseda Univ, Dept Phys, Tokyo 1698555, Japan
[6] CNR, INO, I-50125 Florence, Italy
来源
QUANTUM | 2019年 / 3卷
基金
日本学术振兴会; 英国工程与自然科学研究理事会;
关键词
QUANTUM ZENO; DYNAMICS;
D O I
10.22331/q-2019-06-12-152
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We generalize Kato's adiabatic theorem to nonunitary dynamics with an isospectral generator. This enables us to unify two strong-coupling limits: one driven by fast oscillations under a Hamiltonian, and the other driven by strong damping under a Lindbladian. We discuss the case where both mechanisms are present and provide nonperturbative error bounds. We also analyze the links with the quantum Zeno effect and dynamics.
引用
收藏
页数:23
相关论文
共 47 条
  • [1] Geometry and Response of Lindbladians
    Albert, Victor V.
    Bradlyn, Barry
    Fraas, Martin
    Jiang, Liang
    [J]. PHYSICAL REVIEW X, 2016, 6 (04):
  • [2] Alicki R., 1987, Quantum Dynamical Semigroups and Applications
  • [3] [Anonymous], 2017, THESIS
  • [4] [Anonymous], 1992, STOCHASTIC PROCESSES, DOI DOI 10.1016/B978-0-444-52965-7.X5000-4
  • [5] Adiabatic Response for Lindblad Dynamics
    Avron, J. E.
    Fraas, M.
    Graf, G. M.
    [J]. JOURNAL OF STATISTICAL PHYSICS, 2012, 148 (05) : 800 - 823
  • [6] Azouit R, 2016, IEEE DECIS CONTR P, P4559, DOI 10.1109/CDC.2016.7798963
  • [7] Deterministic generation of multiparticle entanglement by quantum Zeno dynamics
    Barontini, Giovanni
    Hohmann, Leander
    Haas, Florian
    Esteve, Jerome
    Reichel, Jakob
    [J]. SCIENCE, 2015, 349 (6254) : 1317 - 1321
  • [8] THE STRUCTURES OF STATE SPACE CONCERNING QUANTUM DYNAMICAL SEMIGROUPS
    Baumgartner, Bernhard
    Narnhofer, Heide
    [J]. REVIEWS IN MATHEMATICAL PHYSICS, 2012, 24 (02)
  • [9] Analysis of quantum semigroups with GKS-Lindblad generators: II. General
    Baumgartner, Bernhard
    Narnhofer, Heide
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (39)
  • [10] Analysis of quantum semigroups with GKS-Lindblad generators: I. Simple generators
    Baumgartner, Bernhard
    Narnhofer, Heide
    Thirring, Walter
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (06)