1D model for the dynamics and expansion of elongated Bose-Einstein condensates
arXiv:cond-mat/0205516 · doi:10.1103/PhysRevA.67.023614
Abstract
We present a 1D effective model for the evolution of a cigar-shaped Bose-Einstein condensate in time dependent potentials whose radial component is harmonic. We apply this model to investigate the dynamics and expansion of condensates in 1D optical lattices, by comparing our predictions with recent experimental data and theoretical results. We also discuss negative-mass effects which could be probed during the expansion of a condensate moving in an optical lattice.
RevTeX4, 8 pages, 10 figures, extended and revised version
References in corpus (8)
- Josephson Junction Arrays with Bose-Einstein Condensates
- Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
- Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
- Superfluid and Dissipative Dynamics of a Bose-Einstein Condensate in a Periodic Optical Potential
- Expansion of a coherent array of Bose-Einstein condensates
- Macroscopic dynamics of a trapped Bose-Einstein condensate in the presence of 1D and 2D optical lattices
- Adiabaticity in Nonlinear Quantum Dynamics: Bose-Einstein Condensate in a Time-Varying Box
- Probing the energy bands of a Bose-Einstein condensate in an optical lattice
Cited by in corpus (30)
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Band structure, elementary excitations, and stability of a Bose-Einstein condensate in a periodic potential
- Precision measurements of s-wave scattering lengths in a two-component Bose-Einstein condensate
- Observation of Solitonic Vortices in Bose-Einstein Condensates
- Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
- Role of transverse excitations in the instability of Bose-Einstein condensates moving in optical lattices
- Optically-induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice
- Nonlinear Band Structure in Bose Einstein Condensates: The Nonlinear Schrödinger Equation with a Kronig-Penney Potential
- Parametric excitation of a Bose-Einstein condensate in a 1D optical lattice
- Collective excitations of a trapped Bose-Einstein condensate in the presence of a 1D optical lattice
- Hydrodynamic flow of expanding Bose-Einstein condensates
- Generalized nonpolynomial Schrodinger equations for matter waves under anisotropic transverse confinement
- Effective one-dimensional dynamics of elongated Bose-Einstein condensates
- Quantum theory of a vortex line in an optical lattice
- The fate of phonons in freely expanding Bose-Einstein condensates
- Excitations of a Bose-Einstein condensate in a one-dimensional optical lattice
- Correlations and dynamics of tunnel-coupled one-dimensional Bose gases
- Solitonic Vortices in Bose-Einstein Condensates
- Loss and revival of phase coherence in a Bose-Einstein condensate moving through an optical lattice
- Effective equations for matter-wave gap solitons in higher-order transversal states
- To detect the looped Bloch bands of Bose-Einstein condensates in optical lattices
- Dynamical instability and dispersion management of an attractive condensate in an optical lattice
- Effective equations for repulsive quasi-1D BECs trapped with anharmonic transverse potentials
- A Hybrid Lagrangian Variation Method for Bose-Einstein Condensates in Optical Lattices
- Quasi-one-dimensional approximation for Bose-Einstein condensates transversely trapped by a funnel potential
- Atomic wave packet dynamics in finite time-dependent optical lattices
- Shock Waves in a Superfluid with Higher-Order Dispersion
- Shock waves in a quasi one-dimensional Bose-Einstein condensate
- Dynamical classical superfluid-insulator transition in a Bose-Einstein condensate on an optical lattice
- Accurate one-dimensional effective description of realistic matter-wave gap solitons