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. \

arXiv comment6 pages, 6 figures, published version

References in corpus (9)

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Cited by in corpus (23)

• Quantum phase transitions in the interacting boson model
• Impact of Quantum Phase Transitions on Excited Level Dynamics
• Concurrence in collective models
• Decoherence as a signature of an excited state quantum phase transition
• Decoherence due to an excited state quantum phase transition in a two-level boson model
• Two-level interacting boson models beyond the mean field
• Dual algebraic structures for the two-level pairing model
• The Lipkin-Meshkov-Glick model as a particular limit of the SU(1,1) Richardson-Gaudin integrable models
• Non-thermal quantum phase transitions
• Geometric Phase and Quantum Phase Transition in the Lipkin-Meshkov-Glick model
• Avoided crossings and dynamical tunneling close to excited-state quantum phase transitions
• Entanglement and magnetic order
• 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
• Anomalous Thermalization in Quantum Collective Models
• Phase diagram of the two-fluid Lipkin model: a butterfly catastrophe
• 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
• Detailed analysis of quantum phase transitions within the $u(2)$ algebra
• Decoherence-assisted quantum driving
• Quantum Phase Transitions in periodically quenched systems
• Scaling Properties of the Lipkin Model at the Critical Point