Monodromy in Dicke superradiance

Abstract

We study the focus-focus type of monodromy in an integrable version of the Dicke model. Classical orbits forming a pinched torus represent analogues of the dynamic superradiance under conditions of a closed system. Quantum signatures of monodromy appear in lattices of expectation values of various quantities in the Hamiltonian eigenstates and are related to an excited-state quantum phase transition. We demonstrate the breakdown of these structures with an increasing strength of non-integrable perturbation.

References in corpus (7)

• Dynamical phase transition in the open Dicke model
• Excited state quantum phase transitions in many-body systems
• Classification of excited-state quantum phase transitions for arbitrary number of degrees of freedom
• Quantum chaos in the nuclear collective model: I. Classical-quantum correspondence
• Thermal and Quantum Phase Transitions in Atom-Field Systems: a Microcanonical Analysis
• Quantum phases and entanglement properties of an extended Dicke model
• Quantum chaos in the nuclear collective model: II. Peres lattices

Cited by in corpus (13)

• Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
• Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
• Excited-state quantum phase transitions
• Quantum quench dynamics in Dicke superradiance models
• Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
• Excited state quantum phase transitions in the bending spectra of molecules
• Quasiclassical approach to quantum quench dynamics in the presence of an excited-state quantum phase transition
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
• Monodromy and chaos for condensed bosons in optical lattices
• Impact of chaos on precursors of quantum criticality
• Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
• Excited-state quantum phase transitions in constrained systems
• Hierarchic superradiant phases in anisotropic Dicke model