Inclusion of pairing fluctuations in a semiclassical approach: The case of study of the Josephson effect

TL;DR

This paper refines a semiclassical approach to include pairing fluctuations, enabling better modeling of the Josephson effect in inhomogeneous systems like ultra-cold Fermi gases.

Contribution

It introduces a method that incorporates pairing fluctuations into a semiclassical framework for studying the Josephson effect in complex geometries.

Findings

Successfully describes the Josephson effect across various experimental conditions.

Enhances understanding of inhomogeneous superfluid systems.

Bridges the gap between mean-field theories and experimental observations.

Abstract

Recent refinements on a semiclassical approach are reviewed, aiming at describing the inhomogeneous local gap parameter in the presence of non-trivial spatial geometries and at taking into account at the same time pairing fluctuations beyond mean field. The method is applied to describe the Josephson effect over the wide range of physical conditions related to recent experiments on this topic performed with ultra-cold Fermi gases.