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The critical behavior of frustrated Josephson-junction arrays at $f=1/2$ flux quantum per plaquette is considered. Results from Monte Carlo simulations and transfer matrix computations support the identification of the critical behavior of…

Condensed Matter · Physics 2009-10-28 Enzo Granato , J. M. Kosterlitz , M. P. Nightingale

The general solution for ballistic electronic transport through double-barrier Josephson junctions is derived. We show the existence of a regime of phase-coherent transport in which the supercurrent is proportional to the single barrier…

Superconductivity · Physics 2009-10-31 A. Brinkman , A. A. Golubov

We study the statistical mechanics of a $D$-dimensional array of Josephson junctions in presence of a magnetic field. In the high temperature region the thermodynamical properties can be computed in the limit $D \to \infty$, where the…

Condensed Matter · Physics 2009-10-22 Giorgio Parisi

I study the dynamics of a Josephson junction serving as a threshold detector of fluctuations which is subjected to a general non-equilibrium electronic noise source whose characteristics is to be determined by the junction. This…

Statistical Mechanics · Physics 2009-06-04 Tomas Novotny

A short introduction to the theory of matrix quasiclassical Green's functions is given and possible applications of this theory to transport properties of mesoscopic superconducting-normal metal (S/N) structures are considered. We discuss a…

Superconductivity · Physics 2009-10-30 A. F. Volkov , V. V. Pavlovskii

We discuss the prospect of using quantum properties of large scale Josephson junction arrays for quantum manipulation and simulation. We study the collective vibrational quantum modes of a Josephson junction array and show that they provide…

Quantum Physics · Physics 2009-11-13 Xingxiang Zhou , Ari Mizel

To study the properties of frustrated two-dimensional Josephson junction arrays near incommensurability, we examine the current-voltage characteristics of a square proximity-coupled Josephson junction array at a sequence of frustrations…

Superconductivity · Physics 2007-05-23 In-Cheol Baek , Young-Je Yun , Mu-Yong Choi

We consider an array of Josephson junctions with a common LCR-load. Application of the Watanabe-Strogatz approach [Physica D, v. 74, p. 197 (1994)] allows us to formulate the dynamics of the array via the global variables only. For…

Chaotic Dynamics · Physics 2015-06-15 Vladimir Vlasov , Arkady Pikovsky

For a microscopic model of a Josephson junction the normal coordinates of the two junction Goldstone bosons are constructed and their dynamical spectrum is computed. The explicit dependence on the phase difference of the two superconductors…

Mathematical Physics · Physics 2009-11-11 B. Dierckx , A. Verbeure

We study the quantum dynamics of Josephson junction arrays. We find isolated groups of low-entanglement eigenstates, that persist even when the Josephson interaction is strong enough to destroy the organization of the spectrum in…

Statistical Mechanics · Physics 2022-07-22 Angelo Russomanno , Michele Fava , Rosario Fazio

We study the parity effect and transport due to quasiparticles in circuits comprised of many superconducting islands. We develop a general approach and show that it is equivalent to previous methods for describing the parity effect in their…

Superconductivity · Physics 2015-05-13 Jared H. Cole , Andreas Heimes , Timothy Duty , Michael Marthaler

Dislocations and disclinations in a lattice of Josephson junctions will affect the dynamics of vortex excitations within the array. These defects effectively distort the space in which the excitations move and interact. The interaction…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kieran Mullen

In order to model the processes taking place in systems with Josephson contacts, a differential equation on a torus with three parameters is used. One of the parameters of the system can be considered small and the methods of the fast--slow…

Dynamical Systems · Mathematics 2013-05-30 V. Kleptsyn , O. Romaskevich , I. Schurov

Josephson junctions, as pivotal components of modern technologies such as superconducting quantum computing, owe their prominence to their unique nonlinear properties at low temperatures. Despite their extensive use in static…

Superconductivity · Physics 2025-01-06 Sajjad Taravati

Within a phonon-assisted resonance level model we develop a self-consistent procedure for calculating electron transport currents in molecular junctions with intermediate to strong electron-phonon interaction. The scheme takes into account…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Galperin , Abraham Nitzan , Mark A. Ratner

Josephson junctions manufactured to tight tolerances are necessary components for superconducting quantum computing. Developing precise manufacturing techniques for Josephson junctions requires an understanding of their make-up and robust…

Quantum Physics · Physics 2025-10-10 Oscar W. Kennedy , Kevin G. Crawford , Kowsar Shahbazi , Connor D. Shelly

We investigate a bosonic Josephson junction by using the path-integral formalism with relative phase and population imbalance as dynamical variables. We derive an effective only-phase action performing functional integration over the…

Quantum Gases · Physics 2022-04-15 Koichiro Furutani , Jacques Tempere , Luca Salasnich

In the graph-based semi-supervised learning, the Green-function method is a classical method that works by computing the Green's function in the graph space. However, when applied to large graphs, especially those sparse ones, this method…

Machine Learning · Computer Science 2024-11-05 Feiping Nie , Yitao Song , Wei Chang , Rong Wang , Xuelong Li

We present a numerically efficient technique to evaluate the Green's function for extended two dimensional systems without relying on periodic boundary conditions. Different regions of interest, or `patches', are connected using self energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Mikkel Settnes , Stephen R. Power , Jun Lin , Dirch H. Petersen , Antti-Pekka Jauho

We study the low-energy physics of planar Josephson junction structures realized in a quasi-two dimensional semiconductor system proximity-coupled to narrow superconducting films. Using both a recursive Green's function approach and an…

Superconductivity · Physics 2026-01-27 Purna P. Paudel , Javad Shabani , Tudor D. Stanescu