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

Abstract

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 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. On the contrary, the heat dissipated by the process is affected neither by the onset of chaos, nor by the excited-state quantum phase transition.

12 pages, 9 figures, RevTex 4.1

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• Many-Body Physics with Ultracold Gases
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• Excited state quantum phase transitions in many-body systems
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• Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator
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• Probing the excited-state quantum phase transition through statistics of Loschmidt echo and quantum work
• Constant of motion identifying excited-state quantum phases
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• Signatures of excited state quantum phase transitions in quantum many body systems: Phase space analysis
• Chaos and Thermalization in the Spin-Boson Dicke Model
• Thouless Energy Challenges Thermalization on the Ergodic Side of the Many-Body Localization Transition
• Adiabatic invariants for the regular region of the Dicke model
• Chaos in a deformed Dicke model
• Thermodynamics and Superradiant Phase Transitions in a three-level Dicke Model
• Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
• Characterizing the excited-state quantum phase transition via the dynamical and statistical properties of the diagonal entropy
• Mechanism of dynamical phase transitions: The complex-time survival amplitude
• Anomalous Thermalization in Quantum Collective Models
• Quantum phase transitions and collective enhancement of level density in odd-A and odd-odd nuclei
• Mixed eigenstates in the Dicke model: Statistics and power-law decay of the relative proportion in the semiclassical limit
• Excited state quantum phase transition and Loschmidt echo spectra in a spinor Bose-Einstein condensate
• Quantum Geometric Tensor and Critical Metrology in the Anisotropic Dicke Model
• Analysis of chaos and regularity in the open Dicke model
• Impact of chaos on the excited-state quantum phase transition of the Kerr parametric oscillator
• Relaxation time as a control parameter for exploring dynamical phase diagrams
• Excited stated quantum phase transitions and the entropy of the work distribution in the anharmonic Lipkin-Meshkov-Glick model
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• Multifractality and excited-state quantum phase transition in ferromagnetic spin-$1$ Bose-Einstein condensates
• Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform
• Quantum information scrambling in adiabatically-driven critical systems
• Energy cat states induced by a parity-breaking excited-state quantum phase transition
• Theoretical study on thermalization in isolated quantum systems
• Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system