Excited state quantum phase transitions and chaos in the Dicke model
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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.
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Bibliographic 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)
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