Highly anisotropic Bose-Einstein condensates: crossover to lower dimensionality
arXiv:cond-mat/0107001 · doi:10.1103/PhysRevA.66.053612
Abstract
We develop a simple analytical model based on a variational method to explain the properties of trapped cylindrically symmetric Bose-Einstein condensates (BEC) of varying degrees of anisotropy well into regimes of effective one dimension (1D) and effective two dimension (2D). Our results are accurate in regimes where the Thomas-Fermi approximation breaks down and they are shown to be in agreement with recent experimental data.
4 pages, 2 figures; significantly more new material added; title and author-list changed due to changes in content
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Cited by in corpus (25)
- The Gross-Pitaevskii Equation for Bose Particles in a Double Well Potential: Two Mode Models and Beyond
- Quantum Metrology: Dynamics vs. Entanglement
- One-dimensional Bosons in Three-dimensional Traps
- Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
- Quasi-1D Bose-Einstein condensates in the dimensional crossover regime
- Bose-Fermi Mixtures in One Dimension
- Ground-state properties of trapped Bose-Einstein condensates: Extension of the Thomas-Fermi approximation
- Collective oscillations of one-dimensional Bose-Einstein gas in a time-varying trap potential and atomic scattering length
- Dynamics of Bose-Einstein condensates in cigar-shaped traps
- Dark matter-wave solitons in the dimensionality crossover
- Effective one-dimensional dynamics of elongated Bose-Einstein condensates
- Quantum Pumping with Ultracold Atoms on Microchips: Fermions versus Bosons
- Properties of quasi two-dimensional condensates in highly anisotropic traps
- Pairing in two-dimensional boson-fermion mixtures
- Expansion of Bose-Einstein condensates in lower dimensions
- Entanglement-based perturbation theory for highly anisotropic Bose-Einstein condensates
- Effective equations for matter-wave gap solitons in higher-order transversal states
- Supersonic flow of a Bose-Einstein condensate past an oscillating attractive-repulsive obstacle
- Mesoscopic Transport and Interferometry with Wavepackets of Ultracold atoms: Effects of Quantum Coherence and Interactions
- Dimensionally Induced Phase Transition of the Weakly Interacting Ultracold Bose Gas
- Robust Dynamical Recurrences Based on Floquet Spectrum
- Density waves in quasi-one-dimensional atomic gas mixture of boson and two-component fermion
- Collective modes in multicomponent condensates with anisotropy
- Accurate one-dimensional effective description of realistic matter-wave gap solitons
- Reduced dimensionality and spatial entanglement in highly anisotropic Bose-Einstein condensates