Relaxation of nonlinear oscillations in BCS superconductivity

Details Relaxation of nonlinear oscillations in BCS superconductivity Relaxation of nonlinear oscillations in BCS superconductivity

2005-12-21

arxiv.org/abs/nlin/0512060v1

J. Phys. A: Math. Gen. 39 (2006) 10363 - 10374

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1088/0305-4470/39/33/007

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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