Integrable dynamics of coupled Fermi-Bose condensates

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

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Integrable dynamics of coupled Fermi-Bose condensates

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arxiv cond-mat/0506782 v1 pith:GLYY3DUI submitted 2005-06-30 cond-mat.supr-con cond-mat.mes-hall

Integrable dynamics of coupled Fermi-Bose condensates

Emil A. Yuzbashyan , Vadim B. Kuznetsov , Boris L. Altshuler This is my paper

classification cond-mat.supr-con cond-mat.mes-hall

keywords dynamicscond-matcondensatescoupleddickeevolutionfermi-bosegeneralized

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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.

Integrable dynamics of coupled Fermi-Bose condensates

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