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Nonequilibrium Cooper pairing in the nonadiabatic regime

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

We obtain a complete solution for the mean-field dynamics of the BCS paired state with a large, but finite number of Cooper pairs in the non-adiabatic regime. We show that the problem reduces to a classical integrable Hamiltonian system and derive a complete set of its integrals of motion. The condensate exhibits irregular multi-frequency oscillations ergodically exploring the part of the phase-space allowed by the conservation laws. In the thermodynamic limit however the system can asymptotically reach a steady state.

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Emil A. Yuzbashyan, Boris L. Altshuler, Vadim B. Kuznetsov, Victor Z. Enolskii. 2005-11-25. Nonequilibrium Cooper pairing in the nonadiabatic regime. https://doi.org/10.1103/physrevb.72.220503

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