Inverted harmonic oscillator dynamics of the nonequilibrium phase transition in the Dicke model

Abstract

We show how the dynamics of the Dicke model after a quench from the ground-state configuration of the normal phase into the superradiant phase can be described for a limited time by a simple inverted harmonic oscillator model and that this limited time approaches infinity in the thermodynamic limit. Although we specifically discuss the Dicke model, the presented mechanism can be also used to describe dynamical quantum phase transitions in other systems and opens a new avenue in simulations of physical phenomena associated with an inverted harmonic oscillator.

10 pages, 6 figures

References in corpus (9)

• The Unruh effect and its applications
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Universal adiabatic dynamics across a quantum critical point
• Dynamical phase transition in the open Dicke model
• Roton-type mode softening in a quantum gas with cavity-mediated long-range interactions
• Dicke-type phase transition in a spin-orbit coupled Bose-Einstein condensate
• Quantum phase transition in the Dicke model with critical and non-critical entanglement
• Coupling between Rydberg states and Landau levels of electrons trapped on liquid helium