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



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

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Official URL: http://dx.doi.org/10.1103/PhysRevE.83.046208


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.

Uncontrolled Keywords:Many-body systems; Light; Entanglement; Maser
Subjects:Sciences > Physics > Thermodynamics
ID Code:27455
Deposited On:25 Nov 2014 12:55
Last Modified:27 Feb 2015 09:16

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