Excited state quantum phase transitions and chaos in the Dicke model

被引：0

作者：

Perez-Fernandez, P. ^{[1
]}

Relano, A. ^{[2
]}

Cejnar, P. ^{[3
]}

Arias, J. M. ^{[4
]}

Dukelsky, J. ^{[5
]}

Garcia-Ramos, J. E. ^{[6
]}

机构：

[1] Univ Seville, Dept Fis Aplicada 3, Escuela Ingenieros, ES-41092 Seville, Spain

[2] Univ Complutense Madrid, Dept Fis Aplicada, GISC, ES-28040 Madrid, Spain

[3] Charles Univ Prague, Fac Math & Phys, Inst Particle & Nucl Phys, CR-18000 Prague, Czech Republic

[4] Univ Seville, Fac Fis, Dept Fis Atom Mol Nucl, E-41080 Seville, Spain

[5] Univ Huelva, Inst Estruct Mat, CSIC, E-28006 Madrid, Spain

[6] Univ Huelva, Dept Fis Aplicada, E-21071 Huelva, Spain

来源：

BEAUTY IN PHYSICS: THEORY AND EXPERIMENT: IN HONOR OF FRANCESCO LACHELLO ON THE OCCASION OF HIS 70TH BIRTHDAY | 2012年 / 1488卷

关键词：

Quantum chaos; excited state quantum phase transition;

D O I：

10.1063/1.4759413

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this contribution, the critical behavior of excited state quantum phase transitions (ESQPT's) and its relation to order and chaos in the Dicke model are studied. This model is non-integrable. For comparison, the same problem is studied for the Jaynes-Cummings model which is, somehow, the integrable version of the Dicke model. The existence of an ESQPT is confirmed in both cases. However, in the Dicke model the signatures of criticality in excited states are blurred by the onset of quantum chaos. It is concluded that the order-to-chaos transition just below the critical energy gives us a chance to study the impact of chaotic dynamics on the signatures of ESQPTs.

引用

页码：318 / 323

页数：6

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