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In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

Approaches to developing large-scale superconducting quantum processors must cope with the numerous microscopic degrees of freedom that are ubiquitous in solid-state devices. State-of-the-art superconducting qubits employ aluminum oxide…

The dynamics of the superconducting phase difference across a Josephson junction can be described within the resistively and capacitively shunted Josephson junction (RCSJ) model. Microscopic derivations of this model traditionally rely on…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Jacob F. Steiner , Larissa Melischek , Felix von Oppen

Superconducting order parameters that change phase around the Fermi surface modify Josephson tunneling behavior, as in the phase-sensitive measurements that confirmed $d$ order in the cuprates. This paper studies Josephson coupling when the…

Condensed Matter · Physics 2009-11-10 Joel E. Moore , Dung-Hai Lee

Circuit quantum electrodynamics (QED) has emerged as a promising platform for implementing quantum computation and simulation. Typically, junctions in these systems are of a sufficiently small size, such that only the lowest plasma…

Quantum Physics · Physics 2025-09-22 Andrey Grankin , Alicia J. Kollár , Mohammad Hafezi

We analyze the quantum dynamics of two electromagnetic oscillators coupled in series to a voltage biased Josephson junction. When the applied voltage leads to a Josephson frequency across the junction which matches the sum of the two mode…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 A. D. Armour , Björn Kubala , Joachim Ankerhold

We investigate the Josephson current J(\phi) through a quantum dot embedded between two superconductors showing a phase difference \phi. The system is modeled as a single Anderson impurity coupled to BCS leads, and the functional and the…

Strongly Correlated Electrons · Physics 2009-11-13 C. Karrasch , A. Oguri , V. Meden

We experimentally investigate the stochastic phase dynamics of planar Josephson junctions (JJs) and superconducting quantum interference devices (SQUIDs) defined in epitaxial InAs/Al heterostructures, and characterized by a large ratio of…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 D. Z. Haxell , E. Cheah , F. Křížek , R. Schott , M. F. Ritter , M. Hinderling , W. Belzig , C. Bruder , W. Wegscheider , H. Riel , F. Nichele

Quantum dynamics of in-plane Josephson junctions between two d-wave superconducting films is described by the anisotropic XY-model where both, quasiparticle and Cooper pair tunneling terms, appear to be equally non-local. Applying a…

Other Condensed Matter · Physics 2009-11-11 D. V. Khveshchenko

Multiple systems hosting Andreev molecular states have been proposed and studied, consisting of closely spaced Josephson junctions modeled as ballistic channels. We show that replacing the ballistic channels in the weak link of the…

Mesoscale and Nanoscale Physics · Physics 2025-09-25 Mátyás Kocsis , Zoltán Scherübl , Gergő Fülöp , Péter Makk , Szabolcs Csonka

We present low temperature transport measurements in one dimensional Josephson junctions rhombi chains. We have measured the current phase relation of a chain of 8 rhombi. The junctions are either in the classical phase regime with the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. M. Pop , K. Hasselbach , 0. Buisson , W. Guichard , B. Pannetier , I. Protopov

We apply a Gutzwiller-like variational technique to study Josephson conduction across a quantum dot with an odd number of electrons connected to two superconducting leads. Our method projects out all states on the dot but the Kondo singlet…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriele Campagnano , Domenico Giuliano , Adele Naddeo , Arturo Tagliacozzo

We investigate Josephson transport in a fully closed, two-dimensional superfluid circuit formed by a ring-shaped 87Rb Bose-Einstein condensate that contains two optical barriers acting as movable weak links. Translating these barriers at…

Quantum Gases · Physics 2026-05-29 Koon Siang Gan , Vijay Pal Singh , Luigi Amico , Rainer Dumke

A quantum dot weakly coupled to two normal metal leads exhibits resonant transmission when one of the dot energy levels lies within the applied bias window. But when the quantum dot is sidecoupled to the transport channel, transmission in…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Abhiram Soori

Identifying the microscopic origins of decoherence sources prevalent in Josephson junction based circuits is central to their use as functional quantum devices. Focussing on so called "strongly coupled" two-level defects, we construct a…

Mesoscale and Nanoscale Physics · Physics 2015-02-25 Timothy C. DuBois , Salvy P. Russo , Jared H. Cole

We report the successful fabrication of planar V/Cu/V mesoscopic Josephson weak-links of different size, and the analysis of their low-temperature behavior. The shorter junctions exhibit critical currents of several tens of microA at 350…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 C. Pascual Garcia , F. Giazotto

We observe a series of discontinuities in the above gap current/voltage characteristics of highly transmissive Nb/Si superconductor/semiconductor interfaces. The bias at which each switch occurs decreases in quantized steps as a function of…

Superconductivity · Physics 2009-10-30 M. J. Black , B. W. Alphenaar , H. Ahmed

We report on the realization of a planar, quasi-ballistic Josephson junction array using a Au micron-sized single-crystal. The system exhibits a nonlocal, multiterminal Josephson effect, where the supercurrent between any two…

Prototype Josephson-junction based qubit coherence times are too short for quantum computing. Recent experiments probing superconducting phase qubits have revealed previously unseen fine splittings in the transition energy spectra. These…

We discuss in detail the experimental investigation of thermally induced fluctuations of the relative phase between two weakly coupled Bose-Einstein condensates. In analogy to superconducting Josephson junctions, the weak coupling…

Other Condensed Matter · Physics 2007-05-23 R. Gati , J. Esteve , B. Hemmerling , T. B. Ottenstein , J. Appmeier , A. Weller , M. K. Oberthaler