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

作者：Calixto M^*; del Real R; Romera E

来源：Physical Review A, 2012, 86(3): 032508.

DOI：10.1103/PhysRevA.86.032508

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%26apos;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 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.

• 出版日期2012-9-24