Geometric Josephson junction

Fuente: arXiv
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Hauptverfasser: Santos, Fabiano F., Boschi-Filho, Henrique
Format: Preprint
Veröffentlicht: 2024
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author Santos, Fabiano F.
Boschi-Filho, Henrique
author_facet Santos, Fabiano F.
Boschi-Filho, Henrique
contents 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 $\partialΩ$ with tension $Σ$ 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 $Σ$. We also study the maximum current's dependence on the junction's tension and size and reproduce familiar results.
format Preprint
id arxiv_https___arxiv_org_abs_2407_10008
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Geometric Josephson junction
Santos, Fabiano F.
Boschi-Filho, Henrique
High Energy Physics - Theory
General Relativity and Quantum Cosmology
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 $\partialΩ$ with tension $Σ$ 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 $Σ$. We also study the maximum current's dependence on the junction's tension and size and reproduce familiar results.
title Geometric Josephson junction
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2407.10008