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Integrable dynamics of coupled Fermi-Bose condensates

Emil A. Yuzbashyan·Vadim B. Kuznetsov·Boris L. Altshuler
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Abstract

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 (cond-mat/0407501 and cond-mat/0505493). 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.

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Emil A. Yuzbashyan, Vadim B. Kuznetsov, Boris L. Altshuler. 2005-06-30. Integrable dynamics of coupled Fermi-Bose condensates. https://doi.org/10.1103/physrevb.72.144524

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