Excited-state quantum phase transitions in Dicke superradiance models

被引：116
作者：
Brandes, Tobias [1 ]
机构：
[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany
来源：
PHYSICAL REVIEW E | 2013年 / 88卷 / 03期
关键词：
RADIATION-FIELD;
D O I：
10.1103/PhysRevE.88.032133
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We derive analytical results for various quantities related to the excited-state quantum phase transitions in a class of Dicke superradiance models in the semiclassical limit. Based on a calculation of a partition sum restricted to Dicke states, we discuss the singular behavior of the derivative of the density of states and find observables such as the mean (atomic) inversion and the boson (photon) number and its fluctuations at arbitrary energies. Criticality depends on energy and a parameter that quantifies the relative weight of rotating versus counterrotating terms, and we find a close analogy to the logarithmic and jump-type nonanalyticities known from the Lipkin-Meshkov-Glick model.
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页数：12
相关论文
共 48 条
  • [1] Functional methods in the generalized Dicke model
    Alcalde, M. Aparicio
    de Lemos, A. L. L.
    Svaiter, N. F.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (39) : 11961 - 11972
  • [2] Equilibration and macroscopic quantum fluctuations in the Dicke model
    Altland, Alexander
    Haake, Fritz
    [J]. NEW JOURNAL OF PHYSICS, 2012, 14
  • [3] Quantum Chaos and Effective Thermalization
    Altland, Alexander
    Haake, Fritz
    [J]. PHYSICAL REVIEW LETTERS, 2012, 108 (06)
  • [4] Thermal phase transitions for Dicke-type models in the ultrastrong-coupling limit
    Aparicio Alcalde, M.
    Bucher, M.
    Emary, C.
    Brandes, T.
    [J]. PHYSICAL REVIEW E, 2012, 86 (01):
  • [5] Superradiant phase transitions with three-level systems
    Baksic, Alexandre
    Nataf, Pierre
    Ciuti, Cristiano
    [J]. PHYSICAL REVIEW A, 2013, 87 (02):
  • [6] Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
    Baumann, K.
    Mottl, R.
    Brennecke, F.
    Esslinger, T.
    [J]. PHYSICAL REVIEW LETTERS, 2011, 107 (14)
  • [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 and collective quantum optical effects in mesoscopic systems
    Brandes, T
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2005, 408 (5-6): : 315 - 474
  • [9] Semiclassics of rotation and torsion
    Braun, PA
    Gerwinski, P
    Haake, F
    Schomerus, H
    [J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1996, 100 (01): : 115 - 127
  • [10] BRINK DM, 1962, ANGULAR MOMENTUM
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