Entropic uncertainty and the quantum phase transition in the Dicke model

被引:31
作者
Romera, E. [1 ,2 ]
Calixto, M. [3 ]
Nagy, A. [4 ]
机构
[1] Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada, Spain
[2] Univ Granada, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain
[3] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain
[4] Univ Debrecen, Dept Theoret Phys, H-4010 Debrecen, Hungary
关键词
INFORMATION ENTROPY; MECHANICS; FIELD;
D O I
10.1209/0295-5075/97/20011
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that the description of the quantum phase transition in terms of the entropic uncertainty relation turns out to be more suitable than in terms of the standard variance-based uncertainty relation. The entropic uncertainty relation detects the quantum phase transition in the Dicke model and it provides a correct description of the quantum fluctuations or quantum uncertainty of the system. Copyright (C) EPLA, 2012
引用
收藏
页数:5
相关论文
共 26 条
[1]  
[Anonymous], 2000, QUANTUM PHASE TRANSI
[2]   Exploring Symmetry Breaking at the Dicke Quantum Phase Transition [J].
Baumann, K. ;
Mottl, R. ;
Brennecke, F. ;
Esslinger, T. .
PHYSICAL REVIEW LETTERS, 2011, 107 (14)
[3]   Dicke quantum phase transition with a superfluid gas in an optical cavity [J].
Baumann, Kristian ;
Guerlin, Christine ;
Brennecke, Ferdinand ;
Esslinger, Tilman .
NATURE, 2010, 464 (7293) :1301-U1
[4]   INEQUALITIES IN FOURIER-ANALYSIS [J].
BECKNER, W .
ANNALS OF MATHEMATICS, 1975, 102 (01) :159-182
[5]   Formulation of the uncertainty relations in terms of the Renyi entropies [J].
Bialynicki-Birula, Iwo .
PHYSICAL REVIEW A, 2006, 74 (05)
[6]   UNCERTAINTY RELATIONS FOR INFORMATION ENTROPY IN WAVE MECHANICS [J].
BIALYNICKIBIRULA, I ;
MYCIELSKI, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 44 (02) :129-132
[7]   ENTROPIC UNCERTAINTY RELATIONS [J].
BIALYNICKIBIRULA, I .
PHYSICS LETTERS A, 1984, 103 (05) :253-254
[8]   HIGHER-ORDER CORRECTIONS TO DICKE SUPERRADIANT PHASE-TRANSITION [J].
CARMICHAEL, HJ ;
GARDINER, CW ;
WALLS, DF .
PHYSICS LETTERS A, 1973, A 46 (01) :47-48
[9]   Superradiant phase in field-matter interactions [J].
Castanos, O. ;
Nahmad-Achar, E. ;
Lopez-Pena, R. ;
Hirsch, J. G. .
PHYSICAL REVIEW A, 2011, 84 (01)
[10]   No singularities in observables at the phase transition in the Dicke model [J].
Castanos, O. ;
Nahmad-Achar, E. ;
Lopez-Pena, R. ;
Hirsch, J. G. .
PHYSICAL REVIEW A, 2011, 83 (05)