Intertwined Quantum Phase Transitions in Bose and Bose-Fermi Systems

TL;DR

This paper investigates intertwined quantum phase transitions in finite Bose and Bose-Fermi systems, revealing complex structural changes and configuration crossings through algebraic models with explicit mixing.

Contribution

It introduces the concept of intertwined QPTs in finite systems and provides evidence using algebraic models with configuration mixing.

Findings

Identification of shape-phase transitions between different symmetries

Evidence of shape-coexistence with configuration crossing

Analysis based on algebraic models with explicit mixing

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.