Ground-state properties of interacting two-component Bose gases in a hard-wall trap
arXiv:0811.1065 · doi:10.1103/PhysRevA.79.033607
Abstract
We investigate ground-state properties of interacting two-component Bose gases in a hard-wall trap using both the Bethe ansatz and exact numerical diagonalization method. For equal intra- and inter-atomic interaction, the system is exactly solvable. Thus the exact ground state wavefunction and density distributions for the whole interacting regime can be obtained from the Bethe ansatz solutions. Since the ground state is a degenerate state with total spin S=N/2, the total density distribution are same for each degenerate state. The total density distribution evolves from a Gauss-like Bose distribution to a Fermi-like one as the repulsive interaction increases. The distribution of each component is N_i/N of the total density distribution. This is approximately true even in the experimental situation. In addition the numerical results show that with the increase of interspecies interaction the distributions of two Tonks-Girardeau gases exhibit composite fermionization crossover with each component developing N peaks in the strongly interacting regime.
arXiv comment9 pages, 8 figures, PRA in press
References in corpus (35)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Regimes of quantum degeneracy in trapped 1D gases
- Phase separation of Bose-Einstein condensates
- Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
- Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
- Binary Bose-Einstein Condensate Mixtures in Weakly and Strongly Segregated Phases
- Dynamical response of a Bose-Einstein condensate to a discontinuous change in internal state
- Nonlinear Josephson-type oscillations of a driven, two-component Bose-Einstein condensate
- Instabilities in binary mixtures of one-dimensional quantum degenerate gases
- Entanglement interferometry for precision measurement of atomic scattering properties
- Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
- Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
- Spin waves in a one-dimensional spinor Bose gas
- Polarization of interacting bosons with spin
- Pathway from condensation via fragmentation to fermionization of cold bosonic systems
- Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
- Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
- Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study
- Composite fermionization of 1-D Bose-Bose mixtures
- Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
- Measurement of a Mixed Spin Channel Feshbach Resonance in Rubidium 87
- Ferromagnetic behaviour in the strongly interacting two-component Bose gas
- Dynamics of a Tonks-Girardeau gas released from a hard-wall trap
- Exact results of the ground state and excitation properties of a two-component interacting Bose system
- Two component interacting bosons: 1-d exact results
- Ground-state properties of one-dimensional anyon gases
- Exact results for the 1D interacting mixed Bose-Fermi gas
- Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
- Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
- Rigorous Proof of Pseudospin Ferromagnetism in Two-Component Bosonic Systems with Component-Independent Interactions
- Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases
- Destruction of interference by many-body interactions in cold atomic Bose gases
- One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
- Trapped interacting two-component bosons
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- One-dimensional mixtures of several ultracold atoms: a review
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- One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles
- Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
- Quantum Phases of Bose-Hubbard Model in Optical Superlattices
- One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: II. Particles
- Inter-species Tunneling in One-dimensional Bose Mixtures
- Strongly interacting Bose-Fermi mixtures in one dimension
- Binding between two-component bosons in one dimension
- Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
- Few-boson tunneling dynamics of strongly correlated binary mixtures in a double-well
- Binary mixtures of condensates in generic confining potentials
- Domain wall suppression in trapped mixtures of Bose-Einstein condensates
- Thermodynamics, density profiles and correlation functions of the inhomogeneous one-dimensional spinor Bose gas
- Mass-imbalance induced structures of binary atomic mixtures in box potentials
- Quantum chaos in interacting Bose-Bose mixtures
- Excitation spectrum of a mixture of two Bose gases confined in a ring potential with interaction asymmetry
- Atomic boson-fermion mixtures in 1D box potentials: Few-body and mean-field many-body analyses
- Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures
- The lowest scattering state of one-dimensional Bose gas with attractive interactions
- Ferromagnetic to antiferromagnetic transition of one-dimensional spinor Bose gases with spin-orbit coupling