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Entropy, chaos, and excited-state quantum phase transitions in the Dicke model

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Lóbez, C. M. and Relaño Pérez, Armando (2016) Entropy, chaos, and excited-state quantum phase transitions in the Dicke model. Physical review E, 94 (1). 012140_1-012140_10. ISSN 2470-0045

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Official URL: http://dx.doi.org/10.1103/PhysRevE.94.012140


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http://journals.aps.org/Publisher


Abstract

We study nonequilibrium processes in an isolated quantum system-the Dicke model-focusing on the role played by the transition from integrability to chaos and the presence of excited-state quantum phase transitions. We show that both diagonal and entanglement entropies are abruptly increased by the onset of chaos. Also, this increase ends in both cases just after the system crosses the critical energy of the excited-state quantum phase transition. The link between entropy production, the development of chaos, and the excited-state quantum phase transition is more clear for the entanglement entropy.


Item Type:Article
Additional Information:

©2016 American Physical Society.
This work has been partially supported by the Spanish Grants No. FIS2012-35316 and No. FIS2015-63770-P (MINECO/FEDER). C.M.L. is supported by the Spanish MECD Program "Becas de Colaboración." A.R. thanks R. Puebla for enlightening discussions. C.M.L. thanks A. Alsina and D. Méndez González for useful advice that clarified the meaning of several topics.

Uncontrolled Keywords:Statistical-mechanics; Systems; Dynamics; Thermalization; Entanglement
Subjects:Sciences > Physics > Thermodynamics
ID Code:39772
Deposited On:28 Oct 2016 14:23
Last Modified:07 Nov 2016 19:22

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