Interplay of classical and quantal features within the coherent state model

TL;DR

This paper analyzes the classical and quantum features of quadrupole coherent states and their projections, highlighting how deformation influences the transition from quantum to classical behavior.

Contribution

It provides a quantitative analysis of classical and quantum features in coherent states, focusing on the effects of deformation and symmetry restoration.

Findings

Quantum features dominate at small deformation

Deformation pushes the system toward classical behavior

Symmetry restoration affects the prominence of quantum features

Abstract

The classical and quantal features of a quadrupole coherent state and its projections over angular momentum and boson number are quantitatively analyzed in terms of the departure of the Heisenberg uncertainty relations from the classical limit. This study is performed alternatively for two choices of the pairs of conjugate coordinates. The role of deformation as mediator of classical and quantal behaviors is also commented. Although restoring the rotational and gauge symmetries makes the quantal features manifest dominantly for small deformation, these are blurred by increasing the deformation which pushes the system toward a classical limit.