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Strong acoustic turbulence and the speed of Bose-Einstein condensation

2002/01/17 by Sergei Khlebnikov, S. Khlebnikov · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #astro-ph #hep-ph #nlin.CD

paper · pdf · doi:10.1103/physreva.66.063606

published as Phys.Rev. A66 (2002) 063606 · 18 pages, latex, 3 figures

arxiv created 2002/01/17 · openalex publication_date 2002/12/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The final stage of Bose-Einstein condensation (BEC) in a large volume occurs through coarsening---growth of individual correlated patches. We present analytical arguments and numerical evidence that in the momentum space, this growth corresponds to strong turbulence of the particle number, with a turbulent cascade towards the infrared and the power law n(k)\ensuremath∝k^\ensuremath-(d+1) in d=2,3 spatial dimensions. As a corollary, we find that the correlation length grows linearly in time, with the speed of order of the speed of Bogoliubov's quasiparticles (phonons). We use these results to estimate the speed of BEC in atomic vapors and in galactic dark matter.

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