The Husimi distribution, the Wehrl entropy and the superradiant phase in spin-boson interactions

Abstract

We study the Husimi distribution of the ground state in the Dicke model of field-matter interactions to visualize the quantum phase transition, from normal to superradiant, in phase-space. We follow an exact numerical and variational analysis, without making use of the usual Holstein-Primakoff approximation. We find that Wehrl entropy of the Husimi distribution provides an indicator of the sharp change of symmetry trough the critical point. Additionally, we note that the zeros of the Husimi distribution characterize the Dicke model quantum phase transition.

6 pages, 4 figures. arXiv admin note: text overlap with arXiv:1409.5591

References in corpus (2)

• Husimi distribution and phase space analysis of Dicke model quantum phase transition
• Husimi distribution and phase-space analysis of a vibron-model quantum phase transition

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