Exact results of the ground state and excitation properties of a two-component interacting Bose system

Abstract

We study a one-dimensional Bose system with repulsive delta-function interaction in the presence of an SU(2) intrinsic degree of freedom on the basis of the coordinate Bethe-ansatz. The ground state and the low-lying excitations are determined by both numerical and analytical methods. It is shown that the ground state is an isospin-ferromagnetic state, and the excitations are composed of three elementary particles: holons, antiholons, and isospinons. The isospinon is a triplet coupled to the "ferromagnetic" background anti-parallelly.

7 pages, incl. 3 figures, accepted by Europhys. Lett. (19 Nov 2002); added Comment (only!): EPL style version of cond-mat/0107578 (without essential changes)

References in corpus (8)

• Spinor Bose Condensates in Optical Traps
• Regimes of quantum degeneracy in trapped 1D gases
• Phase separation of Bose-Einstein condensates
• Preparing Topological States of a Bose-Einstein Condensate
• Watching a superfluid untwist itself: Recurrence of Rabi oscillations in a Bose-Einstein condensate
• Dark soliton creation in Bose-Einstein condensates
• Eliminating the mean-field shift in multicomponent Bose-Einstein condensates
• The Hubbard quantum wire

Cited by in corpus (51)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• One-dimensional mixtures of several ultracold atoms: a review
• Spin waves in a one-dimensional spinor Bose gas
• Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
• Composite fermionization of 1-D Bose-Bose mixtures
• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• High order exceptional points in ultracold Bose gases
• Quantum magnetism in strongly interacting one-dimensional spinor Bose systems
• Bound states and scattering lengths of three two-component particles with zero-range interactions under one-dimensional confinement
• Population-imbalance instability in a Bose-Hubbard ladder in the presence of a magnetic flux
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
• Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Ground-state properties of interacting two-component Bose gases in a hard-wall trap
• Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases
• Spin dynamics and Andreev-Bashkin effect in mixtures of one-dimensional Bose gases
• Correlation lengths of the repulsive one-dimensional Bose gas
• Interacting non-Hermitian ultracold atoms in a harmonic trap: Two-body exact solution and high-order exceptional point
• Ground and excited states of spinor Fermi gases in tight waveguides and the Lieb-Liniger-Heisenberg model
• Polarization Suppression and Nonmonotonic Local Two-Body Correlations in the Two-Component Bose Gas in One Dimension
• Correlation functions of one-dimensional strongly interacting two-component gases
• Itinerant ferromagnetism in 1D two-component Fermi gases
• Equilibrium thermodynamic properties of interacting two-component bosons in one dimension
• Domain walls and bubble-droplets in immiscible binary Bose gases
• Critical phenomena in one dimension from a Bethe ansatz perspective
• One dimensional SU(3) bosons with $\delta$ function interaction
• Thermodynamics, density profiles and correlation functions of the inhomogeneous one-dimensional spinor Bose gas
• Excitation spectrum of a mixture of two Bose gases confined in a ring potential with interaction asymmetry
• Quantum chaos in interacting Bose-Bose mixtures
• Universality and quantum criticality of the one-dimensional spinor Bose gas
• Dynamics for partially coherent Bose-Einstein condensates in double wells
• Ground state properties of one-dimensional Bose-Fermi mixtures
• Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
• Excitations in the Yang-Gaudin Bose gas
• Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak to the strong interaction limits
• Exact result for the polaron mass in a one-dimensional Bose gas
• Exact calculation of spectral properties of a particle interacting with a one-dimensional Fermi gas in optical lattices
• Persistent currents in a strongly interacting multicomponent Bose gas on a ring
• Quantum Exact Non-Abelian Vortices in Non-relativistic Theories
• Method of difference-differential equations for some Bethe ansatz solvable models
• Partial Fermionization---Spectral Universality in 1D Repulsive Bose Gases
• Dynamical symmetry and pair tunneling in a one-dimensional Bose gas colliding with a mobile impurity
• Dispersion relation of a polaron in the Yang-Gaudin Bose gas
• Fermionization of a Few-Body Bose System Immersed into a Bose-Einstein Condensate
• Interfaces between Bose-Einstein and Tonks-Girardeau atomic gases
• Ferromagnetic to antiferromagnetic transition of one-dimensional spinor Bose gases with spin-orbit coupling
• Necklace Ansatz for strongly repulsive spin mixtures on a ring
• Exact solutions of a one-dimensional mixture of spinor bosons and spinor fermions