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Multi-mode description of an interacting Bose-Einstein condensate

2001; Optica Publishing Group; Volume: 8; Issue: 2 Linguagem: Inglês

10.1364/oe.8.000092

1094-4087

Krzysztof Góral, Mariusz Gajda, Kazimierz Rzążewski,

Spectroscopy and Laser Applications

We study the equilibrium dynamics of a weakly interacting Bose-Einstein condensate trapped in a box. In our approach we use a semiclassical approximation similar to the description of a multi-mode laser. In dynamical equations derived from a full N-body quantum Hamiltonian we substitute all creation (and annihilation) operators (of a particle in a given box state) by appropriate c-number amplitudes. The set of nonlinear equations obtained in this way is solved numerically. We show that on the time scale of a few miliseconds the system exhibits relaxation - reaches an equilibrium with populations of different eigenstates fluctuating around their mean values.