Wigner distribution function formalism for superconductors and collisionless dynamics of the superconducting order parameter

TL;DR

This paper introduces a Riccati parametrization method of the Wigner distribution function to analyze the collisionless dynamics of homogeneous superconductors, including the effects of time-dependent pairing interactions.

Contribution

It develops a novel technique based on Riccati parametrization for studying collisionless superconducting dynamics and quantum evolution of the order parameter.

Findings

Quantum evolution of the order parameter can be accurately modeled.

Time-dependent pairing interactions significantly influence the order parameter dynamics.

The method provides insights into non-equilibrium superconducting phenomena.

Abstract

A technique to study collisionless dynamics of a homogeneous superconducting system is developed, which is based on Riccati parametrization of Wigner distribution function. The quantum evolution of the superconductiung order parameter, initially deviated from the equilibrium value, is calculated using this technique. The effect of a time-dependent BCS paring interaction on the dynamics of the order parameter is also studied.