Integrable dynamics of coupled Fermi-Bose condensates
Superconductivity
2015-06-25 v1 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.cond-mat/0506782,
title = {Integrable dynamics of coupled Fermi-Bose condensates},
author = {Emil A. Yuzbashyan and Vadim B. Kuznetsov and Boris L. Altshuler},
journal= {arXiv preprint arXiv:cond-mat/0506782},
year = {2015}
}
Comments
21 pages, no figures