Nonlinear Dynamics of a Bose Condensed Gas

Abstract

We investigate the dynamic behavior of a Bose-condensed gas of alkali atoms interacting with repulsive forces and confined in a magnetic trap at zero temperature. Using the Thomas-Fermi approximation, we rewrite the Gross-Pitaevskii equation in the form of the hydrodynamic equations of superfluids. We present solutions describing large amplitude oscillations of the atomic cloud as well as the expansion of the gas after switching off the trap. We compare our theoretical predictions with the recent experimental data obtained at Jila and MIT.

5 pages, REVTeX, 4 postscript figures, available also at http://anubis.science.unitn.it/~dalfovo/papers/papers.html

Cited by in corpus (39)

• Theory of Bose-Einstein condensation in trapped gases
• Dynamical response of a Bose-Einstein condensate to a discontinuous change in internal state
• Observation of Solitonic Vortices in Bose-Einstein Condensates
• A numerical approach to the ground and excited states of a Bose-Einstein condensed gas confined in a completely anisotropic trap
• Frequency shift and mode coupling in the nonlinear dynamics of a Bose condensed gas
• Dynamics of a classical gas including dissipative and mean field effects
• Oscillation Frequencies for a Bose Condensate in a Triaxial Magnetic Trap
• Non-Interacting Fermions in a One-Dimensional Harmonic Atom Trap: Exact One-Particle Properties at Zero Temperature
• Dynamics of Bose-Einstein condensates in cigar-shaped traps
• Collective excitations of a Bose-Einstein condensate in an anharmonic trap
• Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions
• Phenomenological Theory of Mode Collapse-revival in Confined Bose Gas
• Ideal Gases in Time-Dependent Traps
• The inverse problem for the Gross - Pitaevskii equation
• Violation of self-similarity in the expansion of a 1D Bose gas
• Anisotropic Bose-Einstein condensates and completely integrable dynamical systems
• Consequence of superfluidity on the expansion of a rotating Bose-Einstein condensate
• Dynamics of a Space-Time Crystal in an Atomic Bose-Einstein Condensate
• Collective excitations of quasi-two-dimensional trapped dipolar fermions: transition from collisionless to hydrodynamic regime
• Classical quasi-particle dynamics in trapped Bose condensates
• The fate of phonons in freely expanding Bose-Einstein condensates
• Expansion of harmonically trapped interacting particles and time dependence of the contact
• Measuring The Heat Capacity in a Bose-Einstein Condensation using Global Variables
• Demonstration of a programmable optical lattice atom interferometer
• Increasing the coherence time of Bose-Einstein-condensate interferometers with optical control of dynamics
• Spin-orbit-coupling induced localization in the expansion of an interacting Bose-Einstein condensate
• Nonlinear dynamics of Bose-condensed gases by means of a low- to high-density variational approach
• Expansion of Bose-Einstein condensates in lower dimensions
• Quasi-particle excitations and dynamical structure function of trapped Bose-condensates in the WKB approximation
• Resonances and Chaos in the Collective Oscillations of a Trapped Bose Condensate
• Non-Perturbative Dynamical Effects in Nearly Scale Invariant Systems: The Action of Breaking Scale Invariance
• Bogoliubov excitation spectrum of an elongated condensate from quasi-one-dimensional to three-dimensional transition
• Entropy of a Turbulent Bose-Einstein Condensate
• Thermal dephasing and the echo effect in a confined Bose-Einstein condensate
• Expansion dynamics of a spherical Bose-Einstein condensate
• Optical visibility and core structure of vortex filaments in a bosonic superfluid
• Expansion Dynamics of a Two-Component Quasi-One-Dimensional Bose-Einstein Condensate: Phase Diagram, Self-Similar Solutions, and Dispersive Shock Waves
• Hydrodynamics of the Vacuum
• Coupled oscillator model of a trapped Fermi gas at the BEC-BCS crossover