Paired state in an integrable spin-1 boson model

Abstract

An exactly solvable model describing the low density limit of the spin-1 bosons in a one-dimensional optical lattice is proposed. The exact Bethe ansatz solution shows that the low energy physics of this system is described by a quantum liquid of spin singlet bound pairs. Motivated by the exact results, a mean-field approach to the corresponding three-dimensional system is carried out. Condensation of singlet pairs and coexistence with ordinary Bose-Einstein condensation are predicted.

6 pages, 1 figure, Revised version

References in corpus (18)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Spinor Bose Condensates in Optical Traps
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Spin domains in ground state spinor Bose-Einstein condensates
• Optical Confinement of a Bose-Einstein Condensate
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• Realization of Bose-Einstein condensates in lower dimensions
• Exciting Collective Oscillations in a Trapped 1D Gas
• Observation of metastable states in spinor Bose-Einstein condensates
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• An exactly solvable model of the BCS-BEC crossover
• One-dimensional Bosons in Three-dimensional Traps
• Dimer state of spin-1 Bosons in an optical lattice
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Quantum Hall states and boson triplet condensate for rotating spin-1 bosons
• Magnetization plateaus for spin-one bosons in optical lattices: Stern-Gerlach experiments with strongly correlated atoms
• Insulator-Superfluid transition of spin-1 bosons in an optical lattice in magnetic field

Cited by in corpus (19)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions
• On the spin-liquid phase of one dimensional spin-1 bosons
• Thermodynamics, spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction
• Stability of low-dimensional multicomponent Bose gases
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Fermi gas with attractive potential and arbitrary spin in one-dimensional trap
• Magnetism of one-dimensional strongly repulsive spin-1 bosons with antiferromagnetic spin exchange interaction
• Quantum criticality of spin-1 bosons in a 1D harmonic trap
• Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap
• Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
• Universal low energy physics in one-dimensional multicompnent Fermi gases with a strongly repulsive $\delta$-function interaction
• Susceptibility at the edge points of magnetization plateau of 1D electron/spin systems
• Paired phases and Bose-Einstein condensation of spin-one bosons with attractive interaction
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction
• Spinor Bose gas in an elongated trap
• Exact solutions of a one-dimensional mixture of spinor bosons and spinor fermions