Quantum phase transitions in Bose-Fermi systems

Abstract

Quantum phase transitions in a system of N bosons with angular momentum L=0,2 (s,d) and a single fermion with angular momentum j are investigated both classically and quantum mechanically. It is shown that the presence of the odd fermion strongly influences the location and nature of the phase transition, especially the critical value of the control parameter at which the phase transition occurs. Experimental evidence for the U(5)-SU(3) (spherical to axially-deformed) transition in odd-even nuclei is presented.

38 pages, 29 figures

References in corpus (7)

• Quantum phase transitions
• Excited state quantum phase transitions in many-body systems
• Quantum phase transitions in the interacting boson model
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• Critical-Point Symmetry in a Finite System
• Phase transitions in the Interacting Boson Fermion Model: the gamma-unstable case
• X(5) Critical-Point Structure in a Finite System

Cited by in corpus (21)

• Excited-state quantum phase transitions
• Effect of a fermion on quantum phase transitions in bosonic systems
• Shape-phase transitions in odd-mass $\gamma$-soft nuclei with mass $A\approx 130$
• Nuclear quantum shape-phase transitions in odd-mass systems
• Signatures of shape phase transitions in odd-mass nuclei
• First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Algebraic Solutions for $U^{BF}(5)-O^{BF}(6)$ Quantum Phase Transition in Odd Mass Number Nuclei
• Description of odd-mass nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Configuration mixing and intertwined quantum phase transitions in odd-mass niobium isotopes
• Mixed configurations and intertwined quantum phase transitions in odd-mass nuclei
• Shape phase transitions in odd-A Zr isotopes
• Empirical signatures of shape phase transitions in nuclei with odd nucleon numbers
• Geometry of Configuration Mixing in Bose-Fermi Systems
• Intertwined quantum phase transitions in the zirconium and niobium isotopes
• Dynamical Symmetries and Beyond: Lessons and Advances
• Microscopic determination of the interacting boson-fermion model Hamiltonian from the nuclear energy density functional
• Intertwined Quantum Phase Transitions in Bose and Bose-Fermi Systems
• Intertwined quantum phase transitions in odd-mass Nb isotopes
• Microscopic formulation of the interacting boson-fermion model using the nuclear energy density functional
• Quantum and classical analyses of intertwined phase transitions in odd-mass Nb isotopes