Time-dependent Ginzburg-Landau model with noise for neutral s-wave superconductor

TL;DR

This paper derives a time-dependent Ginzburg-Landau model with noise for neutral s-wave superconductors from quantum field theory, highlighting quantum decoherence effects and describing dynamics via Langevin and nonlinear Schrödinger equations.

Contribution

It introduces a novel derivation of the model from quantum field theory and incorporates quantum decoherence effects into superconductor dynamics.

Findings

Quantum decoherence due to pair breaking fluctuations identified

Dynamics described by Langevin equation near criticality

Nonlinear Schrödinger equation applicable at zero temperature

Abstract

Time-dependent Ginzburg-Landau model with noise for neutral s-wave superconductor is derived from real-time finite-temperature quantum field theory by integrating over fermions in the density matrix propagator. Quantum decoherence due to environment of pair breaking fluctuations is identified. Dynamics is described by Langevin equation in the near critical regime and by a nonlinear Schrodinger equation at zero temperature.