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When a superconducting tunnel junction at a finite voltage is irradiated with microwaves, the interplay between the alternating Josephson current and the ac field gives rise to steps in the dc current known as Shapiro steps. In this work we…

Superconductivity · Physics 2009-11-13 J. C. Cuevas , H. Pothier

The Josephson effect is a kind of macroscopic quantum phenomenon that supercurrent flows through a Josephson junction without any voltage applied. We predict a novel vortex-state-mediated Josephson effect in an SNS Josephson junction…

Superconductivity · Physics 2014-09-04 Zhao Yang Zeng , Chong Zhang

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…

The modern primary voltage standard is based on the AC Josephson effect and the ensuing Shapiro steps, where a microwave tone applied to a Josephson junction yields a constant voltage $hf/2e$ ($h$ is Planck's constant and $e$ the electron…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Nicolò Crescini , Samuel Cailleaux , Wiebke Guichard , Cécile Naud , Olivier Buisson , Kater Murch , Nicolas Roch

We theoretically discuss the emergence of fractional Shapiro steps in a Josephson junction created by confining a two-dimensional electron gas at an oxide interface. This phenomenon is induced by an alternating current of proper amplitude…

Synchronization between the internal dynamics of the superconducting phase in a Josephson junction (JJ) and an external ac signal is a fundamental physical phenomenon, manifesting as constant-voltage Shapiro steps in the current-voltage…

Superconductivity · Physics 2025-12-23 Pavel N. Tsarev , Yakov V. Fominov

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

In order to clarify the ``superradiant'' conditions for the moving Josephson vortices to excite in-phase AC electromagnetic fields over all junctions, we perform large scale simulations of realistic dimensions for intrinsic Josephson…

Superconductivity · Physics 2009-10-31 M. Machida , T. Koyama , A. Tanaka , M. Tachiki

We propose a simple way to generate nonlinear excitations in a controllable way by managing interactions in Bose-Einstein condensates. Under the action of a quantum analogue of a classical piston the condensed atoms are pushed through the…

Quantum Gases · Physics 2016-08-11 Florian Pinsker , Natalia G. Berloff , Víctor M. Pérez-García

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

Experimental realizations of ``atomtronic" Josephson junctions have recently been created in annular traps in relative rotation with respect to potential barriers that generate the weak links. If these devices are additionally subjected to…

Quantum Gases · Physics 2025-08-08 Manjari Gupta , H. R. Krishnamurthy , J. K. Freericks

A single Josephson junction in the phase-slip regime exhibits Bloch oscillations in the voltage when biased with a DC current $I_\text{DC}$. The frequency of the oscillation is given by $\pi I_\text{DC}/e$, with $e$ the elementary charge,…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 David Scheer , Fabian Hassler

Superconducting proximity junctions based on topological insulators are widely believed to harbor Majorana-like bound states. The latter serves as a paradigm non-local topological quantum computation protocols. Nowadays, a search for…

We theoretically study the Shapiro steps in a hetero Josephson junction made of a single-gap superconductor and a two-gap one. We find that an anomalous DC Josephson current is induced by tuning the frequency of an applied microwave to the…

Superconductivity · Physics 2010-10-28 Yukihiro Ota , Masahiko Machida , Tomio Koyama

Bloch oscillations in small Josephson junctions were predicted theoretically as the quantum dual to Josephson oscillations. A significant consequence of this prediction is the emergence of quantized current steps, so-called dual Shapiro…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Fabian Kaap , Christoph Kissling , Victor Gaydamachenko , Lukas Grünhaupt , Sergey Lotkhov

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

We analyse the formation and the dynamics of quantum turbulence in a two-dimensional Bose-Einstein condensate with a Josephson junction barrier modelled using the Gross-Pitaevskii equation. We show that a sufficiently high initial…

Quantum Gases · Physics 2020-06-24 Adam Griffin , Sergey Nazarenko , Davide Proment

We propose to dynamically control the conductivity of a Josephson junction composed of two weakly coupled one dimensional condensates of ultracold atoms. A current is induced by a periodically modulated potential difference between the…

Quantum Gases · Physics 2021-02-10 Beilei Zhu , Vijay Pal Singh , Junichi Okamoto , Ludwig Mathey

Superconducting topological systems formed by a strong 3D topological insulator (TI) in proximity to a conventional $s$-wave superconductor (SC) have been intensely studied as they may host Majorana zero modes. However, there are limited…

We present an accurate way to detect spin dynamics of a nutating molecular nanomagnet by inserting it in a tunnel Josephson junction and studying the current voltage (I-V) characteristic. The spin nutation of the molecular nanomagnet is…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Babak Abdollahipour , Jahanfar Abouie , Navid Ebrahimi