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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

We present a unified, quantitative description of transport across the crossover between hydrodynamic weak-link flow and tunneling-dominated Josephson dynamics in a three-dimensional quantum fluid. Using an atomic Josephson junction…

Quantum Gases · Physics 2026-05-26 Vijay Pal Singh , Erik Bernhart , Marvin Röhrle , Herwig Ott , Ludwig Mathey , Luigi Amico

The Josephson effects associated with quantum tunneling of Cooper pairs manifest as nonlinear relations between the superconductivity phase difference and the bias current and voltage. Many novel phenomena appear, such as Shapiro steps in…

Superconductivity · Physics 2010-04-21 Xiao Hu , Shi-Zeng Lin

A Josephson junction embedded in a dissipative circuit can be externally driven to induce nonlinear dynamics of its phase. Classically, under sufficiently strong driving and weak damping, dynamic multi-stability emerges associated with…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 Jennifer Gosner , Björn Kubala , Joachim Ankerhold

We derive, via fourth order perturbation theory, an expression for the Josephson current through a gated interacting quantum dot. We analyze our expression for two different models of the superconductor-dot-superconductor (SDS) system. When…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Rozhkov , D. P. Arovas , F. Guinea

We study the dynamics of a driven atomic Josephson junction that we propose as a parametric amplifier. By periodically modulating the position of the barrier, we induce a small current across the junction, serving as our input signal. The…

Quantum Gases · Physics 2026-05-29 Vijay Pal Singh , Luigi Amico , Ludwig Mathey

We have observed a dissipative phase diffusion branch in arrays of hysteretic high-Tc intrinsic Josephson junctions. By comparing the data with a thermal activation model we extract the impedance seen by the junction in which phase…

Superconductivity · Physics 2009-11-10 P. A. Warburton , A. R. Kuzhakhmetov , G. Burnell , M. G. Blamire , H. Schneidewind

Motivated by recent pump-probe experiments indicating enhanced coherent $c$-axis transport in underdoped YBCO, we study Josephson junctions periodically driven by optical pulses. We propose a mechanism for this observation by demonstrating…

Superconductivity · Physics 2017-05-11 Jun-ichi Okamoto , Andrea Cavalleri , Ludwig Mathey

The expression for additional subgap current in the presence of electron-phonon interaction is derived. We show that the phonon assisted tunneling leads to appearance of peaks on current-voltage characteristics at the Josephson frequencies…

Superconductivity · Physics 2009-10-31 E. G. Maksimov , P. I. Arseyev , N. S. Maslova

We study the equilibrium dynamics of the relative phase in a superconducting Josephson link taking into account the quantum fluctuations of the electromagnetic vacuum. The photons act as a superohmic heat bath on the relative Cooper pair…

Superconductivity · Physics 2009-11-10 H. Kohler , F. Guinea , F. Sols

We treat the Cooper pairs in the superconducting electrodes of a Josephson junction (JJ) as an open system, coupled via Andreev scattering to external baths of electrons. The disequilibrium between the baths generates the direct-current…

Quantum Physics · Physics 2023-11-13 Robert Alicki , Michał Horodecki , Alejandro Jenkins , Marcin Łobejko , Gerardo Suárez

A local interaction between photons can be engineered by coupling a nonlinear system to a transmission line. The required high impedance transmission line can be conveniently formed from a chain of Josephson junctions. The nonlinearity is…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Li-Jing Jin , Manuel Houzet , Julia S. Meyer , Harold U. Baranger , Frank W. J. Hekking

Ultra-small Josephson junctions are strongly influenced by noise and damping due to energy dissipation into the environment, which are expected to suppress phase coherence. Here, we investigate the coherence properties of atomic-scale…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Martina Trahms , Bharti Mahendru , Clemens B. Winkelmann , Katharina J. Franke

The dc Josephson effect in a superconducting quantum point contact, where supercurrent flows through a small number of channels, is reviewd. The central role of Andreev levels is emphasized which carry the whole supercurrent in short…

Superconductivity · Physics 2009-10-31 A. Furusaki

We have designed and experimentally implemented a circuit of inductively-coupled superconducting charge qubits, where a Josephson junction is used as an inductance, and the coupling between the qubits is controlled by an applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Yamamoto , M. Watanabe , J. Q. You , Yu. A. Pashkin , O. Astafiev , Y. Nakamura , F. Nori , J. S. Tsai

Thermodynamics and transport properties of resistance-shunted Josephson junctions are studied theoretically in the tight-binding limit E_C/E_J<<1, where E_C and E_J are a charging energy and a Josephson coupling energy respectively. Based…

Superconductivity · Physics 2007-05-23 Takeo Kato , Masatoshi Imada

The Josephson current in a diffusive superconductor/ferromagnet/superconductor junction with precessing magnetization is calculated within the quasiclassical theory of superconductivity. When the junction is phase-biased, a stationary…

Superconductivity · Physics 2015-03-31 M. Houzet

We study theoretically the current-voltage characteristics of intrinsic Josephson junctions in high-$T_c$ superconductors. An oscillation of the breakpoint current on the outermost branch as a function of coupling $\alpha$ and dissipation…

Superconductivity · Physics 2015-06-25 Yu. M. Shukrinov , F. Mahfouzi

We analyze long-range transport through an ac driven triple quantum dot with one single electron. An effective model is proposed for the analysis of photoassisted cotunnel in order to account for the virtual processes which dominate the…

Mesoscale and Nanoscale Physics · Physics 2015-04-07 Fernando Gallego-Marcos , Rafael Sánchez , Gloria Platero

A Josephson tunnel junction transistor based on quasiparticle injection is proposed. Its operation relies on the manipulation of the electron distribution in one of the junction electrodes. This is accomplished by injecting quasiparticle…

Superconductivity · Physics 2008-07-12 F. Giazotto , J. P. Pekola