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The effect of quantum fluctuations on the current-voltage characteristics of Josephson junctions and superconducting nanowires is studied in the underdamped limit. Quantum fluctuations induce transitions between a Coulomb--blockade and a…

Mesoscale and Nanoscale Physics · Physics 2008-08-21 A. Zazunov , N. Didier , F. W. J. Hekking

The supercurrent of a Josephson junction is reduced by phase diffusion. For ultrasmall capacitance junctions the current may be further decreased by Coulomb blockade effects. We calculate the Cooper pair current by means of time-dependent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hermann Grabert , Gert-Ludwig Ingold , Benjamin Paul

In the classical Josephson effect the phase difference across the junction is well defined, and the supercurrent is reduced only weakly by phase diffusion. For mesoscopic junctions with small capacitance the phase undergoes large quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hermann Grabert , Gert-Ludwig Ingold

We investigate the physics of coherent quantum phase slips in two distinct circuits containing small Josephson junctions: (i) a single junction embedded in an inductive environment and (ii) a long chain of junctions. Starting from the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 W. Guichard , F. W. J. Hekking

We analyze the quantum dynamics of two electromagnetic oscillators coupled in series to a voltage biased Josephson junction. When the applied voltage leads to a Josephson frequency across the junction which matches the sum of the two mode…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 A. D. Armour , Björn Kubala , Joachim Ankerhold

We theoretically explore the low-energy behavior of a Josephson tunnel junction coupled to a finite-length, charge-biased transmission line and compare it to its flux-biased counterpart. For transmission lines of increasing length, we show…

Quantum Physics · Physics 2026-03-04 Luca Giacomelli , Michel H. Devoret , Cristiano Ciuti

Josephson junctions operated in the dynamical Coulomb blockade regime recently gained an significant amount of attention as central building block in concepts to demonstrate the non-Abelian character of Majorana fermions. Its physical…

Mesoscale and Nanoscale Physics · Physics 2017-12-21 Berthold Jäck , Jacob Senkpiel , Markus Etzkorn , Joachim Ankerhold , Christian R. Ast , Klaus Kern

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

By using analytical and Worldline Monte Carlo approaches, we investigate the effects induced by quantum phase fluctuations combined with quasiparticle subgap and shunt resistances on a small-capacitance Josephson junction. By using the…

We study the behavior of a topological Josephson junction in which two topological superconductors are coupled through a quantum dot. We focus on the case with the bulk superconducting gap being the largest energy scale. Two parameter…

Superconductivity · Physics 2016-05-11 Yu-Li Lee , Yu-Wen Lee

We consider the problem of two capacitively coupled Josephson junction arrays made of ultrasmall junctions. Each one of the arrays can be in the semiclassical or quantum regimes, depending on their physical parameter values. The former case…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jorge V. José

In the presence of an AC drive, multiterminal Josephson junctions exhibit the inverse AC Josephson effect, where the oscillations of the superconducting phase of each junction can lock onto one another or onto the external drive. The…

Superconductivity · Physics 2022-11-23 François Amet , Sara Idris , Aeron McConnell , Brian Opatosky , Ethan Arnault

We have investigated charge transport in ultrasmall superconducting single and double Josephson junctions coupled to resonant modes of the electromagnetic environment. We observe pronounced current peaks in the transport characteristics of…

Superconductivity · Physics 2011-02-03 Yu. A. Pashkin , H. Im , J. Leppäkangas , T. F. Li , O. Astafiev , A. A. Abdumalikov , E. Thuneberg , J. S. Tsai

In this work, we manipulate the phase shift of a Josephson junction using a parallel double quantum dot (QD). By employing a superconducting quantum interference device, we determine how orbital hybridization and detuning affect the…

In a SQUID tuned away from half-integer flux (in units of the superconducting flux quantum), the concurrence of multiple Josephson harmonics and an asymmetry between the junctions leads to the Josephson diode effect -- a nonreciprocal…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 M. Houzet , T. Vakhtel , J. S. Meyer

Embedded in an ohmic environment, the Josephson current peak can transfer part of its weight to finite voltage and the junction becomes resistive. The dissipative environment can even suppress the superconducting effect of the junction via…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Tom Morel , Christophe Mora

A system of two parallel Josephson junction arrays coupled by interlayer capacitances is considered in the situation where one layer is in the vortex-dominated and the other in the charge-dominated regime. This system shows a symmetry…

Condensed Matter · Physics 2009-10-28 Yaroslav M. Blanter , Gerd Schoen

The non-dissipative non-linearity of a Josephson junction converts macroscopic superconducting circuits into artificial atoms, enabling some of the best controlled quantum bits (qubits) today. Three fundamental types of superconducting…

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

The Josephson equations predict remarkable effects concerning the phase state of a superconducting junction with an oscillating current induced by a static voltage. Whether the paradigm can be twisted by yielding an oscillating voltage…

Superconductivity · Physics 2022-04-05 Claudio Guarcello , Luca Chirolli , Maria Teresa Mercaldo , Francesco Giazotto , Mario Cuoco
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