Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions
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2000-08-01
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The Gross-Pitaevskii equation for Bose-Einstein condensation (BEC) in two space dimensions under the action of a harmonic oscillator trap potential for bosonic atoms with attractive and repulsive interparticle interactions was numerically studied by using time-dependent and time-independent approaches. In both cases, numerical difficulty appeared for large nonlinearity. Nonetheless, the solution of the time-dependent approach exhibited intrinsic oscillation with time iteration which is independent of space and time steps used in discretization.
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Electrodynamics, Electron transport properties, Electron traps, Electronic density of states, Ground state, Low temperature operations, Nonlinear equations, Oscillations, Bose Einstein condensate, Dilute bosonic atoms, Gross-Pitaevskii equation, Ground state wave function, Repulsive interatomic interactions, Schrodinger equation, Trap energy, Atoms
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Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 62, n. 2 B, p. 2937-2944, 2000.