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We study persistent currents in a Josephson junction array wrapped around a cylinder. The $T=0$ quantum statistical mechanics of the array is equivalent to the statistical mechanics of a classical $xy$ spin system in 2+1 dimensions at the…

Superconductivity · Physics 2016-10-18 D. A. Garanin , E. M. Chudnovsky

A nondissipative supercurrent state of a Josephson junction is metastable with respect to the formation of a finite-resistance state. This transition is driven by fluctuations, thermal at high temperatures and quantum at low temperatures.…

Superconductivity · Physics 2016-01-06 D. S. Antonenko , M. A. Skvortsov

Thermal fluctuations of the Josephson current $I$ induced by the magnetic flux through a ring of $N$ superconducting grains are studied. When a half-fluxon is threading the ring, $I$ exhibits incoherent transitions between the two…

Superconductivity · Physics 2017-02-01 D. A. Garanin , E. M. Chudnovsky

We study quantum phase-slip (QPS) processes in a superconducting ring containing N Josephson junctions and threaded by an external static magnetic flux. In a such system, a QPS consists of a quantum tunneling event connecting two distinct…

Superconductivity · Physics 2015-03-19 G. Rastelli , I. M. Pop , F. W. J. Hekking

We analyze the influence of noise on magnetic properties of a su- perconducting loop which contains three Josephson junctions. This circuit is a classical analog of a persistent current (flux) qubit. A loop supercurrent induced by external…

Superconductivity · Physics 2009-11-13 E. Il'ichev , A. N. Omelyanchouk

We investigate the effect of interacting quantum phase slips on persistent current and its fluctuations in ultrathin superconducting nanowires and nanorings pierced by the external magnetic flux. We derive the effective action for these…

Mesoscale and Nanoscale Physics · Physics 2013-09-02 Andrew G. Semenov , Andrei D. Zaikin

Superconductivity is shown to be completely destroyed in thin mesoscopic or nanoscopic rings closed by the junction with a noticeable interfacial pair breaking and/or a Josephson coupling, if a ring's radius r is less than the minimum…

Superconductivity · Physics 2017-01-05 Yu. S. Barash

We study the Josephson current in two types of lateral junctions with spin-orbit coupling and an exchange field. The first system (type 1 junction) consists of superconductors with heavy metal interlayers linked by a ferromagnetic bridge,…

Superconductivity · Physics 2020-01-01 B. Bujnowski , R. Biele , F. S. Bergeret

We consider a Josephson junction containing a single localized spin 1/2 between conventional singlet superconducting electrodes. We study the spin dynamics and measurements when a dc-magnetic field ${\bf B}\parallel z$ acts on the spin and…

Superconductivity · Physics 2007-05-23 L. Bulaevskii , M. Hruška , A. Shnirman , D. Smith , Yu. Makhlin

We study the Josephson effect through a one-dimensional system of interacting electrons, connected to two superconductors by tunnel junctions. The interactions are treated in the framework of the one-channel Luttinger model. At zero…

Condensed Matter · Physics 2009-10-22 Rosario Fazio , F. W. J. Hekking , A. A. Odintsov

Thermal activation and macroscopic quantum tunneling in current-biased discrete Josephson transmission lines are studied theoretically. The degrees of freedom under consideration are the phases across the junctions which are coupled to each…

Superconductivity · Physics 2009-10-31 Thorsten Droese , Cristiane Morais-Smith

Arrays of Josephson junctions are at the forefront of research on quantum circuitry for quantum computing, simulation and metrology. They provide a testing bed for exploring a variety of fundamental physical effects where macroscopic phase…

Quasiparticle tunneling across a Josephson junction sets a limit for the lifetime of a superconducting qubit state. We develop a general theory of the corresponding decay rate in a qubit controlled by a magnetic flux. The flux affects…

Mesoscale and Nanoscale Physics · Physics 2011-06-07 G. Catelani , Jens Koch , L. Frunzio , R. J. Schoelkopf , M. H. Devoret , L. I. Glazman

We present theoretical results for the equilibrium Josephson current through an Anderson dot tuned into the magnetic regime, using Hirsch-Fye Monte Carlo simulations covering the complete crossover from Kondo-dominated physics to $\pi$…

Strongly Correlated Electrons · Physics 2009-11-10 F. Siano , R. Egger

We calculate the equilibrium Josephson current through a disordered interacting quantum dot described by a Sachdev-Ye-Kitaev model fully contacted by two BCS superconductors, such that all modes of the dot contribute to the coupling, which…

Strongly Correlated Electrons · Physics 2024-10-25 Luca Dell'Anna

We calculate both the DC and the AC Josephson current through a one-dimensional system of interacting electrons, connected to two superconductors by tunnel junctions. We treat the (repulsive) Coulomb interaction in the framework of the…

Condensed Matter · Physics 2009-10-28 Rosario Fazio , F. W. J. Hekking , A. A. Odintsov , 11 pages RevTex , 9 figures

We investigate the ground state current of an isolated hybrid normal/superconducting ring (NS ring), threaded by an Aharonov-Bohm magnetic flux. We calculate the excitation spectrum of the ring for any values of the lengths of the normal…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Cayssol , T. Kontos , G. Montambaux

The $4\pi$ Josephson Effect is a distinguishing feature of a topological Josephson junction. However, stringent conditions make it hard to observe in experiments. Here we numerically study the transient transport properties in a topological…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Dihao Sun , Jie Liu

The superconducting circuits involving Josephson junction offer macroscopic quantum two-level system (qubit) which are coupled to cavity resonators and are operated via microwave signals. In this work, we study the dynamics of…

Quantum Physics · Physics 2022-07-12 Prashant Shukla

We analyze the coherent dynamics of a fluxonium device (Manucharyan et al 2009 Science 326 113) formed by a superconducting ring of Josephson junctions in which strong quantum phase fluctuations are localized exclusively on a single weak…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 G. Rastelli , M. Vanevic , W. Belzig
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