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Excited state quantum phase transitions and chaos in the Dicke model

 

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Author: Pérez Fernández, Pedro
Relaño, Armando
Cejnar, Pavel
Arias Carrasco, José Miguel
Dukelsky, Jorge
García Ramos, José Enrique
Department: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Universidad de Sevilla. Departamento de Física Aplicada III
Date: 2012
Published in: Beauty in Physics: Theory and Experiment - In Honor of Francesco Iachello on the Occasion of His 70th Birthday (2012), p 318-323
ISBN/ISSN: 978-073541100-5
0094-243X
1551-7616
Document type: Presentation
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 order-to-chaos transition just below the critical energy gives us a chance to study the impact of chaotic dynamics on the signatures of ESQPTs.
Cite: Pérez Fernández, P., Relaño, A., Cejnar, P., Arias Carrasco, J.M., Dukelsky, J. y García Ramos, J.E. (2012). Excited state quantum phase transitions and chaos in the Dicke model. En Beauty in Physics: Theory and Experiment - In Honor of Francesco Iachello on the Occasion of His 70th Birthday (318-323), Hacienda Cocoyoc; Mexico: American Institute of Physics.
Size: 182.1Kb
Format: PDF

URI: https://hdl.handle.net/11441/84533

DOI: 10.1063/1.4759413

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