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Relaxation of nonlinear oscillations in BCS superconductivity

Razvan Teodorescu
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Abstract

The diagonal case of the $sl(2)$ Richardson-Gaudin quantum pairing model \cite{Richardson1,Richardson2,Richardson3,Richardson4,Richardson5,Richardson6,G audin76} is known to be solvable as an Abel-Jacobi inversion problem \cite{SOV,Kuznetzov,Kuz1,Kuz2,Kuz3,Kuz4,Kuz5,YAKE04}. This is an isospectral (stationary) solution to a more general integrable hierarchy, in which the full time evolution can be written as isomonodromic deformations. Physically, the more general solution is appropriate when the single-particle electronic spectrum is subject to external perturbations. The asymptotic behavior of the nonlinear oscillations in the case of elliptic solutions is derived.

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Razvan Teodorescu. 2005-12-21. Relaxation of nonlinear oscillations in BCS superconductivity. https://doi.org/10.1088/0305-4470%2F39%2F33%2F007

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