Intertwined Quantum Phase Transitions in Bose and Bose-Fermi Systems

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.

18 pages, 13 figures, talk at Symposium "Symmetries in Science XIX", July 30 - August 4, 2023, Bregenz, Austria

References in corpus (14)

• Quantum phase transitions in the interacting boson model
• Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing
• Quantum phase transitions in Bose-Fermi systems
• Intertwined Quantum Phase Transitions in the Zr Isotopes
• Zr Isotopes as a region of intertwined quantum phase transitions
• Phase transitions in the Interacting Boson Fermion Model: the gamma-unstable case
• First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
• Interplay between shape-phase transitions and shape coexistence in the Zr isotopes
• Shape coexistence in Sr isotopes
• Mixed configurations and intertwined quantum phase transitions in odd-mass nuclei
• Configuration mixing and intertwined quantum phase transitions in odd-mass niobium isotopes
• Shape phase transitions in odd-A Zr isotopes
• Persistent vibrational structure in ${}^{110-116}$Cd