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

Abstract

The Husimi distribution is proposed for a phase space analysis of quantum phase transitions in the two-dimensional $U(3)$ vibron model for $N$-size molecules. We show that the inverse participation ratio and Wehrl's entropy of the Husimi distribution give sharp signatures of the quantum (shape) phase transition from linear to bent. Numerical results are complemented with a variational approach using parity-symmetry-adapted $U(3)$ coherent states, which reach the minimum Wehrl entropy $\frac{N(3+2N)}{(N+1)(N+2)}$, in the rigidly linear phase, according to a generalized Wehrl-Lieb conjecture. We also propose a characterization of the vibron-model quantum phase transition by means of the zeros of the Husimi distribution.

8 pages, 8 figures

References in corpus (3)

• Husimi distribution and phase space analysis of Dicke model quantum phase transition
• Parity-symmetry-adapted coherent states and entanglement in quantum phase transitions of vibron models
• Numerical solutions of the Dicke Hamiltonian

Cited by in corpus (5)

• Inverse participation ratio and localization in topological insulator phase transitions
• Identifying topological-band insulator transitions in silicene and other 2D gapped Dirac materials by means of Rényi-Wehrl entropy
• Identifying the order of a quantum phase transition by means of Wehrl entropy in phase-space
• The Husimi distribution, the Wehrl entropy and the superradiant phase in spin-boson interactions
• Quantum statistical properties of multiphoton hypergeometric coherent states and the discrete circle representation