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Adiabatic invariants for the regular region of the Dicke model
M. A. Bastarrachea-Magnani, A. Relaño, S. Lerma-Hernández +3
Adiabatic invariants are introduced and shown to provide an approximate second integral of motion for the non-integrable Dicke model, in the energy region where the system exhibits…
From thermal to excited-state quantum phase transitions ---the Dicke model
P. Pérez-Fernández, A. Relaño
We study the thermodynamics of the full version of the Dicke model, including all the possible values of the total angular momentum , with both microcanonical and canonical ense…
Approximated integrability of the Dicke model
A. Relaño, M. A. Bastarrachea-Magnani, S. Lerma-Hernández
A very approximate second integral of motion of the Dicke model is identified within a broad region above the ground state, and for a wide range of values of the external parameter…
Entropy, chaos and excited-state quantum phase transitions in the Dicke model
C. M. Lóbez, A. Relaño
We study non-equilibrium 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…