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arXiv:1103.2039 · Journal of Low Temperature Physics

Self-similar Expansion of the Density Profile in a Turbulent Bose-Einstein Condensate

M. A. Caracanhas, Alexander L. Fetter, Sérgio Ricardo Muniz, K. M. F. Magalhães, G. Roati, Guilherme de Guzzi Bagnato, Vanderlei Salvador Bagnato

Published Oct 12, 2011• 21 citations
arXivHTMLPDF
DOI
10.1007/s10909-011-0409-2

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When driven out of equilibrium, a Bose-Einstein condensate develops nonlinearly interacting density waves that trigger a turbulent cascade, transferring energy toward small scales. In this Letter, we investigate the nonstationary evolution of solutions to the two-dimensional Gross-Pitaevskii equation (GPE). Through numerical simulations of both the GPE and the corresponding Wave Kinetic Equation (WKE), we identify self-similar solutions relevant to turbulence in atomic and polariton Bose-Einstein Condensates. These solutions correspond to a new type of non-thermal fixed point and exhibit characteristics of both first and second kind self-similarity. In particular, we show that the dynamics of the propagating front is universal, governed by a dimensionless universal constant βββ, which we determine numerically.