Nonlinear Schroedinger equation for a superfluid Bose gas from weak coupling to unitarity: Study of vortices
arXiv:0801.4302 · doi:10.1103/PhysRevA.77.033618
Abstract
We introduce a nonlinear Schroedinger equation to describe the dynamics of a superfluid Bose gas in the crossover from the weak-coupling regime, where with the inter-atomic s-wave scattering length and the bosonic density, to the unitarity limit, where . We call this equation the {unitarity Schroedinger equation} (USE). The zero-temperature bulk equation of state of this USE is parametrized by the Lee-Yang-Huang low-density expansion and Jastrow calculations at unitarity. With the help of the USE we study the profiles of quantized vortices and vortex-core radius in a uniform Bose gas. We also consider quantized vortices in a Bose gas under cylindrically-symmetric harmonic confinement and study their profile and chemical potential using the USE and compare the results with those obtained from the Gross-Pitaevskii-type equations valid in the weak-coupling limit. Finally, the USE is applied to calculate the breathing modes of the confined Bose gas as a function of the scattering length.
10 pages, 15 figures
References in corpus (45)
- Theory of Bose-Einstein condensation in trapped gases
- Vortex formation in a stirred Bose-Einstein condensate
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
- Dynamics of collapsing and exploding Bose-Einstein condensates
- Bosons in anisotropic traps: ground state and vortices
- Vortex Nucleation in a Stirred Bose-Einstein Condensate
- Fermi systems with long scattering lengths
- Nonlinear dynamics for vortex lattice formation in a rotating Bose-Einstein condensate
- Bulk and Collective Properties of a Dilute Fermi Gas in the BCS-BEC Crossover
- Bose-Einstein condensation dynamics from the numerical solution of the Gross-Pitaevskii equation
- Cold Bose gases with large scattering lengths
- Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length
- Normal Modes of a Vortex in a Trapped Bose-Einstein Condensate
- Elementary excitations in trapped Bose gases beyond mean field approximation
- Numerical Solution of the Two-Dimensional Gross-Pitaevskii Equation for Trapped Interacting Atoms
- Numerical study of the spherically-symmetric Gross-Pitaevskii equation in two space dimensions
- Beyond Gross-Pitaevskii:local density vs. correlated basis approach for trapped bosons
- Oscillation Frequencies for a Bose Condensate in a Triaxial Magnetic Trap
- Bose-Einstein condensate collapse: a comparison between theory and experiment
- Collapse of attractive Bose-Einstein condensed vortex states in a cylindrical trap
- Mean-field description of collapsing and exploding Bose-Einstein condensates
- Fermi Gases in Slowly Rotating Traps: Superfluid vs Collisional Hydrodynamics
- Transition from 3D to 1D in Bose Gases at Zero Temperature
- Three Dimensional Simulation of Jet Formation in Collapsing Condensates
- Bosons in a Toroidal Trap: Ground State and Vortices
- Expansion of a Fermi Cloud in the BCS-BEC Crossover
- Pulsed Macroscopic Quantum Tunneling of Falling Bose Condensates
- Mean-field model of interaction between bright vortex solitons in Bose-Einstein condensates
- One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
- Three-dimensional dynamics of vortex lattice formation in Bose-Einstein condensates
- Bose-Einstein Condensates in the Large Gas Parameter Regime
- Comment on "Collective excitations of a degenerate gas at the BEC-BCS crossover"
- Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
- Quasi One-Dimensional Bosons in Three-dimensional Traps: From Strong Coupling to Weak Coupling Regime
- Vortices in Atomic Bose-Einstein Condensates in the Large Gas Parameter Region
- Dynamics of collapsing and exploding Bose-Einstein condensed vortex state
- Bosons and Fermions near Feshbach resonances
- Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture
- Free expansion of attractive and repulsive Bose-Einstein condensed vortex states
- Mean-Field vs Monte-Carlo equation of state for the expansion of a Fermi superfluid in the BCS-BEC crossover
- Elementary excitations of trapped Bose gas in the large-gas-parameter regime
- Properties of Trapped Bose gas with vortices in large-gas-parameter regime
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- Hydrodynamics of Bose and Fermi superfluids at zero temperature: the superfluid nonlinear Schrodinger equation
- Path-Integral Ground-State and Superfluid Hydrodynamics of a Bosonic Gas of Hard Spheres
- Faraday waves in quasi-one-dimensional superfluid Fermi-Bose mixtures
- Monte Carlo Simulations of the Unitary Bose Gas
- Universal scaling in a trapped Fermi super-fluid in the BCS-unitarity crossover
- BCS-BEC crossover in a trapped Fermi super-fluid using a density-functional equation
- Self-trapping of a binary Bose-Einstein condensate induced by interspecies interaction
- Effective equations for repulsive quasi-1D BECs trapped with anharmonic transverse potentials
- Quenched dynamics of the momentum distribution of the unitary Bose gas
- Correlations and superfluidity of a one-dimensional Bose gas in a quasiperiodic potential
- Collective dynamics of Fermi-Bose mixtures with an oscillating scattering length
- Weak-coupling to unitarity crossover in Bose-Fermi mixtures: Mixing-demixing and spontaneous symmetry breaking in trapped systems
- Multiscale Theory of Finite Size Bose Systems: Implications for Collective and Single-Particle Excitations
- Long-lived quantum vortex knots
- Dipolar Bose-Einstein condensate for large scattering length
- Dark solitons in the unitary Bose gas