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We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate conditions, Josephson junctions with phase-shifts can have a…

Pattern Formation and Solitons · Physics 2015-03-17 Amir Ali , Hadi Susanto , Jonathan Wattis

The continuous development of superconducting electronics is encouraging several studies on hybrid Josephson junctions (JJs) based on superconductor/ferromagnet/superconductor (SFS) heterostructures, as either spintronic devices or…

Superconductivity · Physics 2020-01-20 H. G. Ahmad , R. Caruso , A. Pal , G. Rotoli , G. P. Pepe , M. G. Blamire , F. Tafuri , D. Massarotti

We model the dynamics of point Josephson junctions in a 1D microstrip line using a wave equation with delta distributed sine nonlinearities. The model is suitable for both low T$_c$ and high T$_c$ systems (0 and $\pi$ junctions). For a…

Superconductivity · Physics 2009-11-11 J. G. Caputo , L. Loukitch

We have studied the switching behaviour of a small capacitance Josephson junction both in experiment, and by numerical simulation of a model circuit. The switching is a comples process involving the transition between two dynamical states…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Joachim Sjostrand , Jochen Walter , David Haviland , Hans Hansson , Anders Karlhede

A Josephson tunnel junction which is RF-driven near a dynamical bifurcation point can amplify quantum signals. The bifurcation point will exist robustly only if the electrodynamic environment of the junction meets certain criteria. In this…

Superconductivity · Physics 2009-11-11 V. E. Manucharyan , E. Boaknin , M. Metcalfe , R. Vijay , I. Siddiqi , M. H. Devoret

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

We investigate the fully quantum evolution of the population imbalance in a perfectly symmetric Bose-Josephson junction modeled by a two-mode Bose-Hubbard Hamiltonian, focusing on the validity of macroscopic quantum self-trapping beyond the…

Quantum Gases · Physics 2026-04-14 Andrea Bardin , Anna Minguzzi , Luca Salasnich

We consider an ultracold bosonic binary mixture confined in a one-dimensional double-well trap. The two bosonic components are assumed to be two hyperfine internal states of the same atom. We suppose that these two components are spin-orbit…

Quantum Gases · Physics 2014-06-17 M. A. Garcia-March , G. Mazzarella , L. Dell'Anna , B. Juliá-Díaz , L. Salasnich , A. Polls

The dissipative dynamics of a Josephson junction in the Bose-gases is considered within the framework of the model of a tunneling Hamiltonian. The effective action which describes the dynamics of the phase difference across the junction is…

Soft Condensed Matter · Physics 2012-05-28 R. A. Barankov , S. N. Burmistrov

We theoretically investigate the enhanced localization of bosonic atoms by fermionic atoms in three-dimensional optical lattices and find a self-trapping of the bosons for attractive boson-fermion interaction. Because of this mutual…

Other Condensed Matter · Physics 2008-08-01 Dirk-Sören Lühmann , Kai Bongs , Klaus Sengstock , Daniela Pfannkuche

We present numerical simulations of the dynamics of two-dimensional Josephson junction arrays to study the mechanism of mutual phase locking. We show that in the presence of an external magnetic field two mechanisms are playing a role in…

Condensed Matter · Physics 2009-10-28 W. Krech , K. Yu. Platov

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…

Quantum Physics · Physics 2025-05-27 Thomas J. Maldonado , Hakan E. Türeci , Alejandro W. Rodriguez

The addition of nonlinearity to an harmonic resonator provides a route to complex dynamical behaviour of resonant modes, including coupling between them. We present a superconducting device that makes use of the nonlinearity of Josephson…

Quantum Physics · Physics 2014-02-10 G. Tancredi , G. Ithier , P. J. Meeson

We propose an experiment that would demonstrate nonlinear Josephson-type oscillations in the relative population of a driven, two-component Bose-Einstein condensate. An initial state is prepared in which two condensates exist in a magnetic…

Condensed Matter · Physics 2009-10-31 J. Williams , R. Walser , J. Cooper , E. Cornell , M. Holland

We present a theoretical study of resonant frequencies and spatial correlations of Josephson phases in frustrated arrays of Josephson junctions. Two types of one-dimensional arrays, namely, the diamond and sawtooth chains, are discussed.…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 A. Andreanov , M. V. Fistul

We investigate the direction-dependent switching current in a flux-tunable four-terminal Josephson junction defined in an InAs/Al two-dimensional heterostructure. The device exhibits the Josephson diode effect, with switching currents that…

Two basic physical models, a two-level system and a harmonic oscillator, are realized on the mesoscopic scale as coupled qubit and resonator. The realistic system includes moreover the electronics for controlling the distance between the…

Mesoscale and Nanoscale Physics · Physics 2012-05-04 S. N. Shevchenko , A. N. Omelyanchouk , E. Il'ichev

We propose and analyze a mesoscopic Josephson junction consisting of two ferromagnetic insulator-superconductors (FI-Ss) coupled through a normal metal (N) layer. The Josephson current of the junction is non-trivially affected by the…

Mesoscale and Nanoscale Physics · Physics 2017-08-28 E. Strambini , F. S. Bergeret , F. Giazotto

Ultralight bosons sourced by macroscopic objects can generate long-range spin-independent and spin-dependent potentials that are accessible to precision interferometry. Such potentials induce phase shifts in Josephson junctions, detectable…

High Energy Physics - Phenomenology · Physics 2026-04-28 Djuna Croon , Tanmay Kumar Poddar

We theoretically investigate the properties of a double-well bosonic Josephson junction coupled to a single trapped ion. We find that the coupling between the wells can be controlled by the internal state of the ion, which can be used for…

Quantum Physics · Physics 2013-05-30 R. Gerritsma , A. Negretti , H. Doerk , Z. Idziaszek , T. Calarco , F. Schmidt-Kaler