Dynamics of the Bose-Einstein condensation

Vladimir E. Zakharov, Sergey V. Nazarenko

Research output: Contribution to journalArticlepeer-review

67 Scopus citations


Bose-Einstein condensation is a very general physical phenomenon which takes place not only in the systems of bosonic atoms, but also in optical wave systems. Many important features of the condensation in such diverse systems can be captured by the nonlinear Schroedinger model. Within this model we develop a statistical description in which the condensate is nonlinearly coupled to wave turbulence described by a kinetic equation. Our focus will be on the strong-condensate regime in which the three-wave interaction replaces the four-wave process operating on the preceding stages of an explosive condensate formation and its initial growth. In the strong-condensate regime, the condensate growth accelerates and becomes quadratic in time. This regime will proceed until the wave dispersion drops below a critical value and the state of dispersionless acoustic turbulence forms.

Original languageEnglish (US)
Pages (from-to)203-211
Number of pages9
JournalPhysica D: Nonlinear Phenomena
Issue number3-4
StatePublished - Feb 15 2005


  • Bose-Einstein condensation
  • Gross-Pitaevski model
  • Wave turbulence

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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