Excited state quantum phase transitions and chaos in the Dicke model

Pérez Fernández, Pedro; Relaño Pérez, Armando; Cejnar, P.; Arias Carrasco, José Miguel; Dukelsky, J.; García Ramos, José Enrique

doi:10.1063/1.4759413

Author

Pérez Fernández, Pedro; Relaño Pérez, Armando; Cejnar, P.; Arias Carrasco, José Miguel; Dukelsky, J.; [et al.]
Publication Date

2012
Publisher

American Institute of Physics
Citation

Pérez Fernández, P., Relaño Pérez, A., Cejnar, P., Arias Carrasco, J.M., Dukelsky, J., García Ramos, J.E.: "Excited state quantum phase transitions and chaos in the Dicke model". AIP Conference Proceedings. Vol. 1488, 318 (2012)
Abstract

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 nonintegrable. 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 emergence of quantum chaos is caused by the precursors of the excited state quantum phase transition.
URI

http://hdl.handle.net/10272/6375

Fichero	Tamaño	Formato	Ver	Description
Excited_state_quantum.pdf	281.5Kb	PDF	View/Open	versión pre-print

Fichero	Tamaño	Formato	Ver	Description
Excited_state_quantum.pdf	281.5Kb	PDF	View/Open	versión pre-print

This item appears in the following Collection(s)

DFA - Ponencias, comunicaciones y pósteres

Statistics

View Usage Statistics

Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España

Excited state quantum phase transitions and chaos in the Dicke model

Author

Pérez Fernández, Pedro; Relaño Pérez, Armando; Cejnar, P.; Arias Carrasco, José Miguel; Dukelsky, J.; [et al.]

Publication Date

2012

Publisher

American Institute of Physics

Citation

Pérez Fernández, P., Relaño Pérez, A., Cejnar, P., Arias Carrasco, J.M., Dukelsky, J., García Ramos, J.E.: "Excited state quantum phase transitions and chaos in the Dicke model". AIP Conference Proceedings. Vol. 1488, 318 (2012)

Abstract

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 nonintegrable. 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 emergence of quantum chaos is caused by the precursors of the excited state quantum phase transition.

URI

http://hdl.handle.net/10272/6375

Fichero	Tamaño	Formato	Ver	Description
Excited_state_quantum.pdf	281.5Kb	PDF	View/Open	versión pre-print

Fichero	Tamaño	Formato	Ver	Description
Excited_state_quantum.pdf	281.5Kb	PDF	View/Open	versión pre-print