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An effective free energy of a two dimensional (i.e. large area) Josephson Junctions is derived, allowing for thermal fluctuations, for random magnetic fields and for external currents. We show by using replica symmetry breaking methods,…

Superconductivity · Physics 2009-10-30 Baruch Horovitz , Anatoly Golub

We consider fluxon dynamics in a stack of inductively coupled long Josephson junctions connected capacitively to a common resonant cavity at one of the boundaries. We study, through theoretical and numerical analysis, the possibility for…

The interaction of a Josephson fluxon with an external magnetic field-induced potential in a long Josephson junction is investigated experimentally. The thermal activation of the fluxon from a potential well is observed and experiments…

Superconductivity · Physics 2007-05-23 A. Wallraff , Yu. Koval , M. Levitchev , M. V. Fistul , A. V. Ustinov

Experiments towards realizing a readout of superconducting qubits by using ballistic Josephson vortices are reported. We measured the microwave radiation induced by a fluxon moving in an annular Josephson junction. By coupling a flux qubit…

Superconductivity · Physics 2015-06-12 Kirill G. Fedorov , Anastasia V. Shcherbakova , Roland Schäfer , Alexey V. Ustinov

We describe the dynamics of fluxons moving in a frustrated Josephson junction with p, d, and f-wave symmetry and calculate the I-V characteristics. The behavior of fluxons is quite distinct in the long and short length junction limit. For…

Pattern Formation and Solitons · Physics 2009-11-07 N. Stefanakis

We analyze the coupling of two flux qubits with a general many-body projector into the low-energy subspace. Specifically, we extract the effective Hamiltonians that controls the dynamics of two qubits when they are coupled via a capacitor…

Quantum Physics · Physics 2021-12-03 María Hita-Pérez , Gabriel Jaumà , Manuel Pino , Juan José García-Ripoll

Dynamics of a fluxon in a stack of coupled long Josephson junctions is studied numerically. Based on the numerical simulations, we show that the dependence of the propagation velocity $c$ on the external bias current $\gamma$ is determined…

Pattern Formation and Solitons · Physics 2007-05-23 H. Susanto , T. P. P. Visser , S. A. van Gils

Josephson junction circuits, such as superconducting quantum interference devices (SQUIDs) and single-flux-quantum (SFQ) circuits, have been applied in both analog and digital systems for their ultralow-noise, high-speed, and…

Superconductivity · Physics 2023-07-07 Yongliang Wang

Josephson junctions and SQUIDs with graphene or other 2D materials as the weak link between superconductors have become a hot topic of research in recent years, with respect to both fundamental physics and potential applications. We have…

Superconductivity · Physics 2020-01-08 Tianyi Li , John C Gallop , Ling Hao , Edward J Romans

We consider a planar SIS-type Josephson junction between diffusive superconductors (S) through an insulating tunnel interface (I). We construct fully self-consistent perturbation theory with respect to the interface conductance. As a…

Superconductivity · Physics 2021-09-15 A. S. Osin , Ya. V. Fominov

Fluxon transmission through impurities of different shape in a quasi-one-dimensional long Josephson junction is investigated. The junction width is significantly less than its length but, at the same time, is of the order of the Josephson…

Pattern Formation and Solitons · Physics 2015-06-05 Ivan O. Starodub , Yaroslav Zolotaryuk

The statics and dynamics of magnetic flux quanta (fluxons) in long annular Josephson tunnel junctions have been investigated. Pinning by interaction of the fluxon field outside the junction with the superconducting wiring has been observed…

Superconductivity · Physics 2009-10-31 D. Muenter , T. Doderer , H. Pressler , S. Keil , R. P. Huebener

A Josephson junction can be subjected to a local, strongly inhomogeneous magnetic field in various experimental situations. Here this problem is analyzed analytically and numerically. A modified sine-Gordon type equation in the presence of…

Superconductivity · Physics 2020-04-29 V. M. Krasnov

We report theoretical and experimental work on the development of a Josephson vortex qubit based on a confocal annular Josephson tunnel junction (CAJTJ). The key ingredient of this geometrical configuration is a periodically variable width…

Superconductivity · Physics 2017-12-27 Roberto Monaco , Jesper Mygind , Valery P. Koshelets

The $J(\phi)$ relation in SFIFS, SNINS and SIS tunnel junctions is studied. The method for analytical solution of linearized Usadel equations has been developed and applied to these structures. It is shown that the Josephson current across…

Superconductivity · Physics 2009-11-11 A. A. Golubov , M. Yu. Kupriyanov

We show analytically that the dynamical equations for an underdamped ladder of coupled small Josephson junctions can be approximately reduced to the discrete sine-Gordon equation. As numerical confirmation, we solve the coupled Josephson…

Condensed Matter · Physics 2009-10-28 Seungoh Ryu , Wenbin Yu , D. Stroud

We study numerically and analytically the properties of a one-dimensional array of parallel Josephson junctions in which every {\em alternate} junction is a $\pi$ junction. In the ground state of the array, each cell contains spontaneous…

Superconductivity · Physics 2009-11-10 Mahesh Chandran , R. V. Kulkarni

We study the anomalous Josephson effect, as well as the dependence on the direction of the critical Josephson current, in an S/N/S junction, where the normal part is realized by alternating spin-orbit coupled and ferromagnetic layers. We…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 M. Minutillo , D. Giuliano , P. Lucignano , A. Tagliacozzo , G. Campagnano

A simple but accurate mesh current analysis is performed on a XY model and on a SIMF model to derive the equations for a Josephson junction array. The equations obtained here turn out to be different from other equations already existing in…

Condensed Matter · Physics 2008-02-03 Carlo Lucheroni

This article presents the phase dynamics of an inline long Josephson junction in voltage state under the influence of constant external magnetic field. Fractional calculus approach is used to model the evolution of the phase difference…

Numerical Analysis · Mathematics 2018-11-15 Amer Rasheed , Imtiaz Ali