Wave turbulence in Bose-Einstein condensates
Yuri Lvov Sergey Nazarenko Robert West
TL;DR
This paper develops a wave turbulence theory for nonequilibrium Bose-Einstein condensates using the Gross-Pitaevskii equation, revealing new effects of the condensate on short-wave excitations beyond previous models.
Contribution
It provides a systematic derivation of wave turbulence in BECs combining WKB and weak turbulence theory, highlighting effects not captured by earlier renormalization approaches.
Findings
Derived a new WKB-based wave turbulence framework for BECs
Showed the condensate influences short-wave excitations differently than previously thought
Revealed modifications to the confining potential effects in turbulence dynamics
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.
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