Mesoscopic theory of the Josephson junction

Fuente: arXiv
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Bibliographic Details
Main Authors: Maldonado, Thomas J., Türeci, Hakan E., Rodriguez, Alejandro W.
Format: Preprint
Published: 2024
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author Maldonado, Thomas J.
Türeci, Hakan E.
Rodriguez, Alejandro W.
author_facet Maldonado, Thomas J.
Türeci, Hakan E.
Rodriguez, Alejandro W.
contents We derive a mesoscopic theory of the Josephson junction from non-relativistic scalar electrodynamics. Our theory reproduces the Josephson relations with the canonical current phase relation acquiring a weak second harmonic term, and it improves the standard lumped-element descriptions employed in circuit quantum electrodynamics by providing spatial resolution of the superconducting order parameter and electromagnetic field. By providing an ab initio derivation of the charge qubit Hamiltonian that relates traditionally free qubit parameters to geometric and material properties, we progress toward the quantum engineering of superconducting circuits at the subnanometer scale.
format Preprint
id arxiv_https___arxiv_org_abs_2411_05635
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Mesoscopic theory of the Josephson junction
Maldonado, Thomas J.
Türeci, Hakan E.
Rodriguez, Alejandro W.
Quantum Physics
We derive a mesoscopic theory of the Josephson junction from non-relativistic scalar electrodynamics. Our theory reproduces the Josephson relations with the canonical current phase relation acquiring a weak second harmonic term, and it improves the standard lumped-element descriptions employed in circuit quantum electrodynamics by providing spatial resolution of the superconducting order parameter and electromagnetic field. By providing an ab initio derivation of the charge qubit Hamiltonian that relates traditionally free qubit parameters to geometric and material properties, we progress toward the quantum engineering of superconducting circuits at the subnanometer scale.
title Mesoscopic theory of the Josephson junction
topic Quantum Physics
url https://arxiv.org/abs/2411.05635