Quasi dynamical symmetry in an interacting boson model phase transition

Abstract

The oft-observed persistence of symmetry properties in the face of strong symmetry-breaking interactions is examined in the SO(5)-invariant interacting boson model. This model exhibits a transition between two phases associated with U(5) and O(6) symmetries, respectively, as the value of a control parameter progresses from 0 to 1. The remarkable fact is that, for intermediate values of the control parameter, the model states exhibit the characteristics of its closest symmetry limit for all but a relatively narrow transition region that becomes progressively narrower as the particle number of the model increases. This phenomenon is explained in terms of quasi-dynamical symmetry.

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References in corpus (3)

• Critical-Point Symmetry in a Finite System
• Classical Dynamics as Constrained Quantum Dynamics
• Embedded Representations and Quasi-Dynamical Symmetry

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