Quantum Phase Transition in Finite-Size Lipkin-Meshkov-Glick Model
arXiv:cond-mat/0608259 · doi:10.1088/1367-2630/8/12/297
Abstract
Lipkin model of arbitrary particle-number N is studied in terms of exact differential-operator representation of spin-operators from which we obtain the low-lying energy spectrum with the instanton method of quantum tunneling. Our new observation is that the well known quantum phase transition can also occur in the finite-N model only if N is an odd-number. We furthermore demonstrate a new type of quantum phase transition characterized by level-crossing which is induced by the geometric phase interference and is marvelously periodic with respect to the coupling parameter. Finally the conventional quantum phase transition is understood intuitively from the tunneling formulation in the thermodynamic limit.
4 figures
References in corpus (13)
- Quantum Superposition States of Bose-Einstein Condensates
- Exactly solvable Richardson-Gaudin models for many-body quantum systems
- Entanglement in a second order quantum phase transition
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Entanglement entropy in the Lipkin-Meshkov-Glick model
- Entanglement in a first order quantum phase transition
- Entanglement dynamics in the Lipkin-Meshkov-Glick model
- Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins
- Large N Scaling Behavior of the Lipkin-Meshkov-Glick Model
- Concurrence in collective models
- Quantum Phase Interference for Quantum Tunneling in Spin Systems
- Enhancement of Quantum Tunneling for Excited States in Ferromagnetic Particles
- Application of Instantons: Quenching of Macroscopic Quantum Coherence and Macroscopic Fermi-Particle Configurations
Cited by in corpus (7)
- Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
- Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
- The Lipkin-Meshkov-Glick model as a particular limit of the SU(1,1) Richardson-Gaudin integrable models
- Finite-size criticality in fully connected spin models on superconducting quantum hardware
- Quantum Phase Transitions in a Model Hamiltonian Exhibiting Entangled Simultaneous Fermion-Pair and Exciton Condensations
- Analysis of quantum phase transition in some different Curie-Weiss models: a unified approach
- Quantum signatures and semiclassical limitations in the transmission of Fock states