Excited-state phase transition and onset of chaos in quantum optical models
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2011
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American Physical Society
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Abstract
We 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.
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©2011 American Physical Society. This work was supported by the Czech Science Foundation (Grant No. 202/09/0084), Czech Ministry of Education (Grant No. MSM 0021620859), Spanish Ministerio de Ciencia e Innovacion and European regional development fund (Grants No. FIS2009-07277, No. FIS2008-04189, No. FIS2009-11621-C02-01, and No. FPA2007-63074), CPAN-Ingenio (Grant No. CSPD-2007-00042-Ingenio 2010), and Junta de Andalucia (Grants No. FQM160, No. FQM318, No. P05FQM437, and No. P07-FQM-02962). The work of P.P.-F. is funded by a FPU grant of the Spanish Ministerio de Educación, and the work of A. R. is funded by the program CPAN Consolider-Ingenio 2010.