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From thermal to excited-state quantum phase transition: The Dicke model

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Autor: Pérez-Fernández, Pedro
Relaño, Armando
Departamento: Universidad de Sevilla. Departamento de Física Aplicada III
Fecha: 2017-07
Publicado en: Physical Review E, 96 (1), 012121-1-012121-14.
Tipo de documento: Artículo
Resumen: We study the thermodynamics of the full version of the Dicke model, including all the possible values of the total angular momentum j, with both microcanonical and canonical ensembles. We focus on both the excited-state quantum phase transition, appearing in the microcanonical description of the maximum angular momentum sector, j=N/2, and the thermal phase transition, which occurs when all the sectors are taken into account. We show that two different features characterize the full version of the Dicke model. If the system is in contact with a thermal bath and is described by means of the canonical ensemble, the parity symmetry becomes spontaneously broken at the critical temperature. In the microcanonical ensemble, and despite that all the logarithmic singularities which characterize the excited-state quantum phase transition are ruled out when all the j sectors are considered, there still exists a critical energy (or temperature) dividing the spectrum into two regions: one in which ...
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Cita: Pérez-Fernández, P. y Relaño, A. (2017). From thermal to excited-state quantum phase transition: The Dicke model. Physical Review E, 96 (1), 012121-1-012121-14.
Tamaño: 544.5Kb
Formato: PDF

URI: http://hdl.handle.net/11441/68752

DOI: 10.1103/PhysRevE.96.012121

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