Quantum quenches in the Dicke model: Thermalization and failure of the generalized Gibbs ensemble*

Abstract

Quantum quenches in the Dicke model were studied both in the thermodynamic limit and the finite systems. For the integrable situation in the thermodynamic limit, the generalized Gibbs ensemble can effectively describe the energy-level occupations for the quench within the normal phase, but it fails for the quench to the superradiant phase. For the finite systems which are considered non-integrable, the post quench systems were studied by comparing with the thermal ensembles. The canonical ensembles are directly available for the quench within the normal phase. With the increasing of the target coupling strength over the equilibrium phase transition critical point, sudden changes take place for the effective temperature and the distance to the thermal ensembles. The thermalization was also studied by comparing with the results of the microcanonical ensembles.

Entanglement and thermalization in the extended Bose–Hubbard model after a quantum quench: A correlation analysis

“…They have boosted a theoretical interest in the thermalization of the isolated quantum systems out of equilibrium. Quantum quench, [3][4][5][6][7][8][9][10][11][12][13][14] which is achieved by suddenly changing the parameters of the quantum systems, provides a natural platform to study these nonequilibrium dynamics. In the quench process, the system is prepared in an initial state ρ 0 , which is mostly the ground state of the initial Hamiltonian H 0 .…”