Excited-state phase transition and onset of chaos in quantum optical models

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Abstract

We study critical behavior of excited states and its relation to order and chaos in the Jaynes- Cummings and Dicke models of quantum optics. We show that both models exhibit a chain of excited-state quantum phase transitions demarcating the upper edge of the superradiant phase. For the Dicke model, the signatures of criticality in excited states are blurred by the onset of chaos which happens in the same energy region.

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Pérez Fernández, P., Relaño Pérez, A., Arias Carrasco, J.M., Cejnar, P., Dukelsky, J., García Ramos, J.E.: "Excited-state phase transition and onset of chaos in quantum optical models". Physical Review E. Vol. 83, n. 4 (2011). ISSN 1539-3755

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