A scalar two-level boson model to study the IBM phase diagram in the Casten triangle

Abstract

We introduce a simple two-level boson model with the same energy surface as the Q-consistent Interacting Boson Model Hamiltonian. The model can be diagonalized for large number of bosons and the results used to check analytical finite-size corrections to the energy gap and the order parameter in the critical region. \

6 pages, 6 figures, published version

References in corpus (2)

• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Finite-size scaling exponents in the interacting boson model

Cited by in corpus (12)

• Quantum phase transitions in the interacting boson model
• Impact of Quantum Phase Transitions on Excited Level Dynamics
• Concurrence in collective models
• Geometric Phase and Quantum Phase Transition in the Lipkin-Meshkov-Glick model
• Avoided crossings and dynamical tunneling close to excited-state quantum phase transitions
• Identifying the order of a quantum phase transition by means of Wehrl entropy in phase-space
• Exceptional points near first- and second-order quantum phase transitions
• Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects
• Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model: Dynamical Aspects
• Search for optimal driving in finite quantum systems with precursors of criticality
• Decoherence-assisted quantum driving
• Quantum Phase Transitions in periodically quenched systems