Excited-state quantum phase transitions in finite many-body systems

被引:9
作者
Cejnar, Pavel [1 ]
Stransky, Pavel [1 ]
Kloc, Michal [1 ]
机构
[1] Charles Univ Prague, Fac Math & Phys, Inst Particle & Nucl Phys, CR-18000 Prague, Czech Republic
关键词
quantum phase transitions; semiclassical state density; level dynamics; INTERACTING-BOSON MODEL; MONODROMY; MOLECULES; DYNAMICS; NUCLEI;
D O I
10.1088/0031-8949/90/11/114015
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Quantum spectra of excited states of numerous collective many-body models show singularities related to stable and unstable stationary points of the corresponding classical dynamics. We show several examples of these singularities and discuss some of their consequences.
引用
收藏
页数:7
相关论文
共 37 条
  • [1] Comparative quantum and semiclassical analysis of atom-field systems. I. Density of states and excited-state quantum phase transitions
    Bastarrachea-Magnani, M. A.
    Lerma-Hernandez, S.
    Hirsch, J. G.
    [J]. PHYSICAL REVIEW A, 2014, 89 (03):
  • [2] Quantum Criticality and Dynamical Instability in the Kicked-Top Model
    Bastidas, Victor Manuel
    Perez-Fernandez, Pedro
    Vogl, Malte
    Brandes, Tobias
    [J]. PHYSICAL REVIEW LETTERS, 2014, 112 (14)
  • [3] 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
  • [4] Excited-state quantum phase transitions in Dicke superradiance models
    Brandes, Tobias
    [J]. PHYSICAL REVIEW E, 2013, 88 (03):
  • [5] 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
  • [6] Dual algebraic structures for the two-level pairing model
    Caprio, M. A.
    Skrabacz, J. H.
    Iachello, F.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (07)
  • [7] Carr L., 2010, Understanding Quantum Phase Transitions
  • [8] Phase structure of interacting boson models in arbitrary dimension
    Cejnar, Pavel
    Iachello, Francesco
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (04) : 581 - 595
  • [9] Monodromy and excited-state quantum phase transitions in integrable systems: collective vibrations of nuclei
    Cejnar, Pavel
    Macek, Michal
    Heinze, Stefan
    Jolie, Jan
    Dobes, Jan
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (31): : L515 - L521
  • [10] Quantum phase transitions in finite algebraic systems
    Cejnar, Pavel
    [J]. XXXIV SYMPOSIUM ON NUCLEAR PHYSICS, 2011, 322