Integrable dynamics of coupled Fermi-Bose condensates

Emil A. Yuzbashyan, Vadim B. Kuznetsov, Boris L. Altshuler

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43 Scopus citations


We study the mean-field dynamics of a fermionic condensate interacting with a single bosonic mode (a generalized Dicke model). This problem is integrable and can be mapped onto a corresponding BCS problem. We derive the general solution and a full set of integrals of motion for the time evolution of coupled Fermi-Bose condensates. The present paper complements our earlier study of the dynamics of the BCS model. Here we provide a self-contained introduction to the variable separation method, which enables a complete analytical description of the evolution of the generalized Dicke, BCS, and other similar models.

Original languageEnglish (US)
Article number144524
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number14
StatePublished - Oct 1 2005

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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