Quantum phase transitions in an interacting atom-molecule boson model
arXiv:1007.0913 · doi:10.1103/PhysRevA.81.063621
Abstract
We study the quantum phase transitions of a model that describes the interconversion of interacting bosonic atoms and molecules. Using a classical analysis, we identify a threshold coupling line separating a molecular phase and a mixed phase. Through studies of the energy gap, von Neumann entanglement entropy, and fidelity, we give evidence that this line is associated to a boundary line in the ground-state phase diagram of the quantum system.
6 pages, 10 figures
References in corpus (18)
- Continuous Quantum Phase Transitions
- Ground state overlap and quantum phase transitions
- Atom--Molecule Coherence in a Bose-Einstein Condensate
- Strong dipolar effects in a quantum ferrofluid
- Quantum Superposition States of Bose-Einstein Condensates
- Entanglement of two-mode Bose-Einstein condensates
- Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins
- Quantum effects on the dynamics of a two-mode atom-molecule Bose-Einstein condensate
- Quantum entanglement and fixed-point bifurcations
- Oscillatory decay of a two-component Bose-Einstein condensate
- Classical and quantum dynamics of a model for atomic-molecular Bose--Einstein condensates
- Existence and stability of atomic-molecular Bose-Einstein condensates
- Quantum Critical Behavior of Two Coupled Bose-Einstein Condensates
- Universality in nonadiabatic behaviour of classical actions in nonlinear models with separatrix crossings
- The role of particle interactions in a many-body model of Feshbach molecular formation in bosonic systems
- Change in the adiabatic invariant in a nonlinear two-mode model of Feshbach resonance passage
- Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate
- On quantum phase crossovers in finite systems
Cited by in corpus (10)
- Coherent reaction between molecular and atomic Bose-Einstein condensates: integrable model
- Atom-molecule conversion with particle losses
- Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
- Ultracold Chemistry and its Reaction Kinetics
- Atom-molecule conversion system subject to phase noises
- Quantum phase transition in a three-level atom-molecule system
- Bethe states for the two-site Bose-Hubbard model: a binomial approach
- Quantum phase transition in an atom-molecule conversion system with atomic hopping
- Binary mixture of pseudospin-1/2 Bose gases with interspecies spin exchange: from classical fixed points and ground states to quantum ground states
- Exact ground-state correlation functions of an atomic-molecular boson conversion model