First-Order Quantum Phase Transition in a Finite System

Abstract

The dynamics at the critical-point of a general first-order quantum phase transition in a finite system is examined, from an algebraic perspective. Suitable Hamiltonians are constructed whose spectra exhibit coexistence of states corresponding to two degenerate minima in the energy surface separated by an arbitrary barrier. Explicit expressions are derived for wave functions and observables at the critical-point.

5 pages, 2 figures. Minor adjustments to PRC requirements

References in corpus (7)

• Quantum phase transitions
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Quantum Phase Transitions in the Interacting Boson Model: Integrability, level repulsion and level crossing
• Critical-Point Symmetry in a Finite System
• Finite-size scaling exponents in the interacting boson model
• Generator Coordinate Truncations
• X(5) Critical-Point Structure in a Finite System

Cited by in corpus (20)

• Quantum phase transitions in the interacting boson model
• Microscopic description of nuclear quantum phase transitions
• Partial Dynamical Symmetries
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• Effect of a fermion on quantum phase transitions in bosonic systems
• Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
• Mathematical Methods in Quantum Optics: the Dicke Model
• First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
• Algebraic benchmark for prolate-oblate coexistence in nuclei
• Emergent quantum phases in a heteronuclear molecular Bose--Einstein condensate model
• Criticality in the configuration-mixed interacting boson model : (1) $U(5)-\hat{Q}(\chi )\cdot \hat{Q}(\chi )$ mixing
• Evolution of order and chaos across a first-order quantum phase transition
• Partial dynamical symmetries and shape coexistence in nuclei
• Regularity and chaos at critical points of first-order quantum phase transitions
• Spectral properties of a tractable collective Hamiltonian
• Coexisting partial dynamical symmetries and multiple shapes
• Partial and quasi dynamical symmetries in quantum many-body systems
• Order, Chaos and Quasi Symmetries in a First-Order Quantum Phase Transition
• Symmetry Remnants in the Face of Competing Interactions in Nuclei
• Simultaneous occurrence of distinct symmetries in nuclei