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

AuthorsPérez-Fernández, P. ; Relaño, Armando; Arias, Jose M.; Cejnar, P.; Dukelsky, Jorge ; García Ramos, José Enrique
Issue Date2011
PublisherAmerican Physical Society
CitationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics 83: 046208 (2011)
AbstractWe study the 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 quantum chaos. We show that the emergence of quantum chaos is caused by the precursors of the excited-state quantum phase transition. © 2011 American Physical Society.
Identifiersdoi: 10.1103/PhysRevE.83.046208
issn: 1539-3755
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