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Fluxons in a superconducting loop can be coherently coupled by quantum phase slips occurring at a weak link such as a Josephson junction. If Cooper pair tunneling at the junction occurs through a resonant level, $2\pi$ quantum phase slips…

Mesoscale and Nanoscale Physics · Physics 2024-08-14 T. Vakhtel , P. D. Kurilovich , M. Pita-Vidal , A. Bargerbos , V. Fatemi , B. van Heck

In this paper we demonstrate that, if it exists, coherent quantum phase slip is the exact dual to Josephson tunneling. We use the duality to predict kinetic capacitance and a sharp resonance in narrow wires. Biased resistively and driven at…

Superconductivity · Physics 2007-05-23 J. E. Mooij , Yu. V. Nazarov

A quantum mechanical analysis of the Josephson phase escape in the presence of both dc and ac bias currents is presented. We find that the potential barrier for the escape of the phase is effectively suppressed as the resonant condition…

Superconductivity · Physics 2009-11-10 M. V. Fistul , A. Wallraff , A. V. Ustinov

Superconducting order in a sufficiently narrow and infinitely long wire is destroyed at zero temperature by quantum fluctuations, which induce $2\pi$ slips of the phase of the order parameter. However, in a finite-length wire coherent…

We study the Josephson effect in one-dimensional SF$_1$F$_2$S junctions, which consist of conventional s-wave superconductors (S) connected by two ferromagnetic layers (F$_1$ and F$_2$). At low temperatures, the potential barrier at the…

Superconductivity · Physics 2025-08-27 Hao Meng , Lei Cai , Xiuqiang Wu , Xianghe Zhao , Jia Xu , Guanqi Wang

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

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

Josephson-like junctions, transiently established in heavy ion collisions between superfluid nuclei, few MeV below the Coulomb barrier, allow for the back and forth transfer of a nuclear Cooper pair of effectively charged nucleons and thus…

Nuclear Theory · Physics 2022-06-22 R. A. Broglia , F. Barranco , L. Corradi , G. Potel , S. Szilner , E. Vigezzi

We study coherent quantum phase-slips which lift the ground state degeneracy in a Josephson junction ring, pierced by a magnetic flux of the magnitude equal to half of a flux quantum. The quantum phase-slip amplitude is sensitive to 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 have developed a quantitative theory of Cooper pair pumping in gated one-dimensional arrays of Josephson junctions. The pumping accuracy is limited by quantum tunneling of Cooper pairs out of the propagating potential well and by direct…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. P. Pekola , J. J. Toppari , M. Aunola , M. T. Savolainen , D. V. Averin

Motivated by recent realizations of qubits with a readout by macroscopic quantum tunneling in a Josephson junction, we study the problem of barrier penetration in presence of coupling to a spin-${1\over 2}$ system. It is shown that when the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Joachim Ankerhold , Hermann Grabert

While Josephson-like junctions, transiently established in heavy ion collisions ($\tau_{coll}\approx10^{-21}$ s) between superfluid nuclei --through which Cooper pair tunneling ($Q$-value $Q_{2n}$) proceeds mainly in terms of successive…

Nuclear Theory · Physics 2021-03-03 G. Potel , F. Barranco , E. Vigezzi , R. A. Broglia

We investigate ac Josephson effect in the resonant tunneling through mesoscopic superconducting junctions. In the presence of microwave irradiation, we show that the trajectory of multiple Andreev reflections can be closed by emitting or…

Mesoscale and Nanoscale Physics · Physics 2010-08-03 Yu Zhu , Qing-feng Sun , Wei Li , Zhong-shui Ma , Tsung-han Lin

Topological features of low dimensional superconductors have caused a lot of excitement recently because of their broad range of applications in quantum information and their potential to reveal novel phases of quantum matter. A potential…

Superconductivity · Physics 2015-06-18 Paul Matthews , Pedro Ribeiro , Antonio M. García-García

Quantum phase slip (QPS) is the particular manifestation of quantum fluctuations of the order parameter of a current-biased quasi-1D superconductor. The QPS event(s) can be considered a dynamic equivalent of tunneling through conventional…

Superconductivity · Physics 2016-02-26 K. Yu. Arutyunov , J. S. Lehtinen , T. Rantala

We propose a model for resonant Josephson tunneling through quantum dots that accounts for Cooper pair-breaking processes in the superconducting leads caused by a magnetic field or spin-flip scattering. The pair-breaking effect on the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Grygoriy Tkachov , Klaus Richter

The physics of a single Josephson junction coupled to a resistive environment is a long-standing fundamental problem at the center of an intense debate, strongly revived by the advent of superconducting platforms with high-impedance…

Quantum Physics · Physics 2025-04-22 Luca Giacomelli , Cristiano Ciuti

Fractional Josephson effect is a unique character of Majorana Fermions in topological superconductor system. This effect is very difficult to detect experimentally because of the disturbance of quasiparticle poisoning and unwanted couplings…

Quantum Physics · Physics 2017-08-10 Zhen-Tao Zhang , Zheng-Yuan Xue , Yang Yu

We investigate experimentally the physics of quantum phase slips in one-dimensional Josephson Junction chains. These quantum phase-slips are induced by quantum phase fluctuations occurring on single junctions of the chain. In our experiment…

Superconductivity · Physics 2015-05-14 I. M. Pop , I. Protopopov , F. Lecocq , Z. Peng , B. Pannetier , O. Buisson , W. Guichard
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