Wave turbulence in Bose-Einstein condensates
arXiv:math-ph/0308008 · doi:10.1016/S0167-2789(03)00239-2
Abstract
The kinetics of nonequilibrium Bose-Einstein condensates are considered within the framework of the Gross-Pitaevskii equation. A systematic derivation is given for weak small-scale perturbations of a steady confined condensate state. This approach combines a wavepacket WKB description with the weak turbulence theory. The WKB theory derived in this paper describes the effect of the condensate on the short-wave excitations which appears to be different from a simple renormalization of the confining potential suggested in previous literature.
33 pages 2 figures
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