Time-delayed feedback control of the Dicke-Hepp-Lieb superradiant quantum phase transition

被引：33
作者：
Kopylov, Wassilij [1 ]
Emary, Clive [2 ]
Schoell, Eckehard [1 ]
Brandes, Tobias [1 ]
机构：
[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany
[2] Univ Hull, Dept Math & Phys, Kingston Upon Hull HU6 7RX, N Humberside, England
来源：
NEW JOURNAL OF PHYSICS | 2015年 / 17卷
关键词：
Dicke model; time-delayed feedback; Pyragas control; quantum phase transitions; quantum optics; CAVITY; MODEL;
D O I：
10.1088/1367-2630/17/1/013040
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We apply the time-delayed Pyragas control scheme to the dissipative Dicke model via a modulation of the atom-field-coupling. The feedback creates an infinite sequence of non-equilibrium phases with fixed points and limit cycles in the primary superradiant regime. We analyse this Hopf bifurcation scenario as a function of delay time and feedback strength and determine analytical conditions for the phase boundaries.
引用
收藏
页数：9
相关论文
共 38 条
  • [11] Stabilization of periodic orbits near a subcritical Hopf bifurcation in delay-coupled networks
    Choe, Chol-Ung
    Jang, Hyok
    Flunkert, Valentin
    Dahms, Thomas
    Hoevel, Philipp
    Schoell, Eckehard
    [J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2013, 28 (01): : 15 - 33
  • [12] Extracavity quantum vacuum radiation from a single qubit
    De Liberato, S.
    Gerace, D.
    Carusotto, I.
    Ciuti, C.
    [J]. PHYSICAL REVIEW A, 2009, 80 (05):
  • [13] COHERENCE IN SPONTANEOUS RADIATION PROCESSES
    DICKE, RH
    [J]. PHYSICAL REVIEW, 1954, 93 (01): : 99 - 110
  • [14] Thermalization after an Interaction Quench in the Hubbard Model
    Eckstein, Martin
    Kollar, Marcus
    Werner, Philipp
    [J]. PHYSICAL REVIEW LETTERS, 2009, 103 (05)
  • [15] Chaos and the quantum phase transition in the Dicke model
    Emary, C
    Brandes, T
    [J]. PHYSICAL REVIEW E, 2003, 67 (06): : 22 - 066203
  • [16] Quantum chaos triggered by precursors of a quantum phase transition: The Dicke model
    Emary, C
    Brandes, T
    [J]. PHYSICAL REVIEW LETTERS, 2003, 90 (04) : 4
  • [17] Synchronizing Distant Nodes: A Universal Classification of Networks
    Flunkert, V.
    Yanchuk, S.
    Dahms, T.
    Schoell, E.
    [J]. PHYSICAL REVIEW LETTERS, 2010, 105 (25)
  • [18] Rapid steady-state convergence for quantum systems using time-delayed feedback control
    Grimsmo, A. L.
    Parkins, A. S.
    Skagerstam, B-S
    [J]. NEW JOURNAL OF PHYSICS, 2014, 16
  • [19] SUPERRADIANT PHASE-TRANSITION FOR MOLECULES IN A QUANTIZED RADIATION FIELD - DICKE MASER MODEL
    HEPP, K
    LIEB, EH
    [J]. ANNALS OF PHYSICS, 1973, 76 (02) : 360 - 404
  • [20] Non-equilibrium coherence dynamics in one-dimensional Bose gases
    Hofferberth, S.
    Lesanovsky, I.
    Fischer, B.
    Schumm, T.
    Schmiedmayer, J.
    [J]. NATURE, 2007, 449 (7160) : 324 - +
1234