Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring

Understand

We compare the entire classical and quantum evolutions of the Dicke model in its regular and chaotic domains.

• This is a paradigmatic interacting spin-boson model of great experimental interest.
• By studying the classical and quantum survival probabilities of initial coherent states, we identify features of the long-time dynamics that are purely quantum and discuss their impact on the equilibration times.
• We show that the ratio between the quantum and classical asymptotic values of the survival probability serves as a metric to determine the proximity to a separatrix in the regular regime and to distinguish between two manifestations of quantum chaos: scarring and ergodicity.