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Theoretical and Mathematical Physics

Green's functions in the Dicke model. II. Superradiant state

N. N. Bogolyubov, A. R. Kazaryan, A. M. Kurbatov, V. N. Neskoromnyi

Published May 1, 1984• 0 citations
Publisher
DOI
10.1007/bf01018184

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We study the dynamical properties of the Dicke model for increasing spin length, as the system approaches the limit of a classical spin. First, we describe the emergence of collective excitations above the ground state that converge to the coupled spin-oscillator oscillations found in the classical limit. The corresponding Green functions reveal quantum dynamical signatures close to the superradiant quantum phase transition. Second, we identify signatures of classical quasiperiodic orbits in the quantum time evolution using numerical time propagation of the wave function. The resulting phase-space plots are compared to the classical trajectories. We complete our study with the analysis of individual eigenstates close to the quasiperiodic orbits.