Three Dimensional Simulation of Jet Formation in Collapsing Condensates
arXiv:cond-mat/0307344 · doi:10.1088/0953-4075/37/2/003
Abstract
We numerically study the behavior of collapsing and exploding condensates using the parameters of the experiments by E.A. Donley et al. [Nature, 412, 295, (2001)]. Our studies are based on a full three-dimensional numerical solution of the Gross-Pitaevskii equation (GPE) including three body loss. We determine the three body loss rate from the number of remnant condensate atoms and collapse times and obtain only one possible value which fits with the experimental results. We then study the formation of jet atoms by interrupting the collapse and find very good agreement with the experiment. Furthermore we investigate the sensitivity of the jets to the initial conditions. According to our analysis the dynamics of the burst atoms is not described by the GPE with three body loss incorporated.
9 pages, 10 figures
References in corpus (3)
Cited by in corpus (22)
- Mathematical theory and numerical methods for Bose-Einstein condensation
- Computational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations
- An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates
- Mean-field description of dynamical collapse of a fermionic condensate in a trapped boson-fermion mixture
- Early Universe Quantum Processes in BEC Collapse Experiments
- Bosenova and three-body loss in a Rb-85 Bose-Einstein condensate
- Quantum depletion of collapsing Bose-Einstein condensates
- Nonlinear Schroedinger equation for a superfluid Bose gas from weak coupling to unitarity: Study of vortices
- Collapsing Bose-Einstein condensates beyond the Gross-Pitaevskii approximation
- Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT
- Mean-field model of jet formation in a collapsing Bose-Einstein condensate
- Josephson oscillation and induced collapse in an attractive Bose-Einstein condensate
- Continuations of the nonlinear Schrödinger equation beyond the singularity
- Tunnelling induced collapse of an atomic Bose-Einstein condensate in a double-well potential
- Evolution of a collapsing and exploding Bose-Einstein condensate in different trap symmetries
- Hartree-Fock-Bogoliubov Model and Simulation of Attractive and Repulsive Bose-Einstein Condensates
- Analysis of a Crank-Nicolson finite difference scheme for (2+1)D perturbed nonlinear Schrödinger equations with saturable nonlinearity
- A Finite Difference Scheme for (2+1)D Cubic-Quintic Nonlinear Schrödinger Equations with Nonlinear Damping
- Collapse times for attractive Bose-Einstein condensates
- Fluctuation assisted collapses of Bose-Einstein condensates
- Scaling Laws Governing the Collapse of a Bose-Einstein Condensate
- Many-body dynamics of a Bose--Einstein condensate collapsing by quantum tunneling