Quantum catastrophes from an algebraic perspective

A. Leviatan, N. Gavrielov

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations

Abstract

We study the properties of quantum cusp and butterfly catastrophes from an algebraic viewpoint. The analysis employs an interacting boson model Hamiltonian describing quantum phase transitions between specific quadrupole shapes by interpolating between two incompatible dynamical symmetry limits. The classical properties are determined by using coherent states to construct the complete phase diagrams associated with Landau potentials exhibiting such catastrophes. The quantum properties are determined by analyzing the spectra, transition rates and symmetry character of the eigenstates of critical Hamiltonians.

Original languageAmerican English
Article number012020
JournalJournal of Physics: Conference Series
Volume1612
Issue number1
DOIs
StatePublished - 7 Aug 2020
Event18th International Symposium on Symmetries in Science - Bregenz, Austria
Duration: 4 Aug 20199 Aug 2019

Bibliographical note

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© 2020 Institute of Physics Publishing. All rights reserved.

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