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arXiv:2411.12816 · Journal of Physics Conference Series

Intertwined Quantum Phase Transitions in Bose and Bose-Fermi Systems

A. Leviatan

Published Nov 1, 2024• 0 citations
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Abstract

Abstract Pronounced structural changes within individual configurations (Type I QPT), superimposed on an abrupt crossing of these configurations (Type II QPT), define the notion of intertwined quantum phase transitions (QPTs). We discuss and present evidence for such a scenario in finite Bose and Bose-Fermi systems. The analysis is based on algebraic models with explicit configuration mixing, where the two types of QPTs describe shape-phase transitions in-between different dynamical symmetries and shape-coexistence with crossing.

DOI
10.1088/1742-6596/2883/1/012009

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Abstract Pronounced structural changes within individual configurations (Type I QPT), superimposed on an abrupt crossing of these configurations (Type II QPT), define the notion of intertwined quantum phase transitions (QPTs). We discuss and present evidence for such a scenario in finite Bose and Bose-Fermi systems. The analysis is based on algebraic models with explicit configuration mixing, where the two types of QPTs describe shape-phase transitions in-between different dynamical symmetries and shape-coexistence with crossing.
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We introduce the notion of intertwined quantum phase transitions (IQPTs), for which shape-changes and configuration-changes in the ground state of a system are intertwined. We demonstrate the relevance of IQPTs to the Zr isotopes, where one of the most complex situations encountered in nuclear physics occurs, with coexisting Type I and Type II quantum phase transitions, and ground state shapes changing from spherical to prolate axially deformed and finally to gamma-unstable. Comparison with experimental data provides the first evidence for IQPTs in physical systems.