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.
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页数:9
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共 38 条
  • [1] Aparicio AM, 2012, PHYS REV E, V86
  • [2] Low-lying bifurcations in cavity quantum electrodynamics
    Armen, M. A.
    Mabuchi, H.
    [J]. PHYSICAL REVIEW A, 2006, 73 (06):
  • [3] Realization of the Dicke Model Using Cavity-Assisted Raman Transitions
    Baden, Markus P.
    Arnold, Kyle J.
    Grimsmo, Arne L.
    Parkins, Scott
    Barrett, Murray D.
    [J]. PHYSICAL REVIEW LETTERS, 2014, 113 (02)
  • [4] Nonequilibrium Quantum Phase Transitions in the Dicke Model
    Bastidas, V. M.
    Emary, C.
    Regler, B.
    Brandes, T.
    [J]. PHYSICAL REVIEW LETTERS, 2012, 108 (04)
  • [5] Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
    Baumann, K.
    Mottl, R.
    Brennecke, F.
    Esslinger, T.
    [J]. PHYSICAL REVIEW LETTERS, 2011, 107 (14)
  • [6] Dicke quantum phase transition with a superfluid gas in an optical cavity
    Baumann, Kristian
    Guerlin, Christine
    Brennecke, Ferdinand
    Esslinger, Tilman
    [J]. NATURE, 2010, 464 (7293) : 1301 - U1
  • [7] Dynamics of nonequilibrium Dicke models
    Bhaseen, M. J.
    Mayoh, J.
    Simons, B. D.
    Keeling, J.
    [J]. PHYSICAL REVIEW A, 2012, 85 (01):
  • [8] COHERENT SPONTANEOUS EMISSION
    BONIFACIO, R
    PREPARATA, G
    [J]. PHYSICAL REVIEW A-GENERAL PHYSICS, 1970, 2 (02): : 336 - +
  • [9] Cavity optomechanics with a Bose-Einstein condensate
    Brennecke, Ferdinand
    Ritter, Stephan
    Donner, Tobias
    Esslinger, Tilman
    [J]. SCIENCE, 2008, 322 (5899) : 235 - 238
  • [10] Excited state quantum phase transitions in many-body systems
    Caprio, M. A.
    Cejnar, P.
    Iachello, F.
    [J]. ANNALS OF PHYSICS, 2008, 323 (05) : 1106 - 1135