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Wave turbulence in Bose-Einstein condensates

Mathematical Physics 2020-06-10 v1 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0308008,
  title  = {Wave turbulence in Bose-Einstein condensates},
  author = {Yuri Lvov Sergey Nazarenko Robert West},
  journal= {arXiv preprint arXiv:math-ph/0308008},
  year   = {2020}
}

Comments

33 pages 2 figures