Wave turbulence in Bose-Einstein condensates

**Yuri Lvov1 - Sergey Nazarenko2 - Robert West2**

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.

- Introduction
- Linear dynamics of the GP equation

- Applicability of WKB descriptions

- Weakly nonlinear GP equation
- Weak turbulence for inhomogeneous systems
- Summary
- Appendix A: derivation WKB equations in presence of a condensate

- Appendix B: Hamiltonian formalism for spatially inhomogeneous weak turbulence.
- Bibliography
- About this document ...

Dr Yuri V Lvov 2007-01-23