Relaxation of nonlinear oscillations in BCS superconductivity

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.

References in corpus (7)

• Exactly solvable Richardson-Gaudin models for many-body quantum systems
• Solitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem
• Exactly-Solvable Models Derived from a Generalized Gaudin Algebra
• Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance
• Nonequilibrium Cooper pairing in the nonadiabatic regime
• Quasi-classical descendants of disordered vertex models with boundaries
• Relaxation and persistent oscillations of the order parameter in the non-stationary BCS theory

Cited by in corpus (1)

• Large Amplitude Dynamics of the Pairing Correlations in a Unitary Fermi Gas