Fisher information, Renyi entropy power and quantum phase transition in the Dicke model

被引：29

作者：

Nagy, A. ^{[3
]}

Romera, E. ^{[1
,2
]}

机构：

[1] Univ Granada, Dept Fis Arom Mol & Nucl, E-18071 Granada, Spain

[2] Univ Granada, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain

[3] Univ Debrecen, Dept Theoret Phys, H-4010 Debrecen, Hungary

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2012年 / 391卷 / 13期

关键词：

Quantum phase transition; Dicke model; Fisher information; Fisher-Renyi information product; SHANNON; UNCERTAINTY; PRINCIPLE; PLANE;

D O I：

10.1016/j.physa.2012.02.024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Fisher information, Renyi entropy power and Fisher-Renyi information product are presented for the Dicke model. There is a quantum phase transition in this quantum optical model. It is pointed out that there is an abrupt change in the Fisher information, Renyi entropy power, the Fisher, Shannon and Renyi lengths at the transition point. It is found that these quantities diverge as the characteristic length: vertical bar lambda(c) - lambda vertical bar(-1/4) around the critical value of the coupling strength lambda(c) for any value of the parameter beta. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：3650 / 3655

页数：6

共 43 条

[1] Extremal entanglement and mixedness in continuous variable systems [J].

Adesso, G ;

Serafini, A ;

Illuminati, F .

PHYSICAL REVIEW A, 2004, 70 (02) :022318-1

[2] Pulse-induced focusing of Rydberg wave packets -: art. no. 063401 [J].

Arbó, DG ;

Reinhold, CO ;

Burgdörfer, J ;

Pattanayak, AK ;

Stokely, CL ;

Zhao, W ;

Lancaster, JC ;

Dunning, FB .

PHYSICAL REVIEW A, 2003, 67 (06) :10

[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]

Bianilicki-Birula I., 1975, COMMUN MATH PHYS, V44, P129

[7] Direct measurement of nonlinear properties of bipartite quantum states [J].

Bovino, FA ;

Castagnoli, G ;

Ekert, A ;

Horodecki, P ;

Alves, CM ;

Sergienko, AV .

PHYSICAL REVIEW LETTERS, 2005, 95 (24)

[8] Superradiant phase in field-matter interactions [J].

Castanos, O. ;

Nahmad-Achar, E. ;

Lopez-Pena, R. ;

Hirsch, J. G. .

PHYSICAL REVIEW A, 2011, 84 (01)

[9] 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)

[10] INFORMATION THEORETIC INEQUALITIES [J].

DEMBO, A ;

COVER, TM ;

THOMAS, JA .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1991, 37 (06) :1501-1518

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