Geometric Josephson junction

TL;DR

This paper constructs a gravitational dual of a Josephson junction using AdS/BCFT correspondence, providing analytical solutions that relate current, phase difference, tension, and size of the junction.

Contribution

It introduces an analytical gravitational model of a Josephson junction via AdS/BCFT, avoiding numerical methods and reproducing key physical relations.

Findings

Reproduces the standard current-phase relation.

Shows maximum current dependence on tension and size.

Provides analytical solutions for the junction dynamics.

Abstract

In this work, we present a gravitational dual to a constriction Josephson junction constructed from the AdS/BCFT correspondence. On the gravity side, we consider a planar AdS-Schwarzschild black hole. Our junction is connected by the boundary $\partial\Omega$ with tension $\Sigma$ on the boundary CFT. This approach lead us to analytical solutions rather than usual numerical methods. Our computations on the gravity side reproduce the standard relation between the current across the junction and the phase difference of the condensate controlled by the tension $\Sigma$. We also study the maximum current's dependence on the junction's tension and size and reproduce familiar results.