Disentangling phase transitions and critical points in the proton-neutron interacting boson model by catastrophe theory

Abstract

We introduce the basic concepts of catastrophe theory needed to derive analytically the phase diagram of the proton-neutron interacting boson model (IBM-2). Previous studies [1,2,3] were based on numerical solutions. We here explain the whole IBM-2 phase diagram including the precise order of the phase transitions in terms of the cusp catastrophe.

arXiv commentTo be published in Physics Letters B

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Cited by in corpus (2)

• Phase diagram of the two-fluid Lipkin model: a butterfly catastrophe
• Quantum catastrophes from an algebraic perspective