Holographic Josephson Junctions and Berry holonomy from D-branes

TL;DR

This paper develops a holographic model for Josephson junctions using intersecting D-branes, revealing potential for non-Abelian junctions and demonstrating Berry holonomy through magnetic flux evolution.

Contribution

It introduces a geometric holographic framework for Josephson junctions with defect D-branes, suggesting non-Abelian variants and linking phase differences to brane endpoint positions.

Findings

Holographic dual of Josephson junctions with D-branes constructed.

Non-Abelian Josephson junctions proposed based on topological properties.

Berry holonomy demonstrated via adiabatic magnetic flux evolution.

Abstract

We construct a holographic model for Josephson junctions with a defect system of a Dp brane intersecting a D(p+2) brane. In addition to providing a geometrical picture for the holographic dual, this leads us very naturally to suggest the possibility of non-Abelian Josephson junctions characterized in terms of the topological properties of the branes. The difference between the locations of the endpoints of the Dp brane on either side of the defect translates into the phase difference of the condensate in the Josephson junction. We also add a magnetic flux on the D(p+2) brane and allow it evolve adiabatically along a closed curve in the space of the magnetic flux, while generating a non-trivial Berry holonomy.