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The quantum Josephson voltage standard is well established across the metrology community for many years. It relies on the synchronisation of the flux tunneling in the S/I/S Josepson junctions (JJ) with the microwave radiation (MW). The…

A hundred years after discovery of superconductivity, one fundamental prediction of the theory, the coherent quantum phase slip (CQPS), has not been observed. CQPS is a phenomenon exactly dual to the Josephson effect: whilst the latter is a…

Superconductivity · Physics 2015-06-04 O. V. Astafiev , L. B. Ioffe , S. Kafanov , Yu. A. Pashkin , K. Yu. Arutyunov , D. Shahar , O. Cohen , J. S. Tsai

Synchronization of Bloch oscillations in small Josephson junctions (JJs) under microwave radiation, which leads to current quantization, has been proposed as an effect that is dual to the appearance of Shapiro steps. This current…

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

Quantum phase-slip (QPS) is the exact dual to the well-known Josephson effect. Although there are numerous proposals for applications of QPS devices, experimental work to develop these remains in the relatively early stages. Significant…

Superconductivity · Physics 2023-02-06 Jamie A. Potter , Jonathan C. Fenton , Paul A. Warburton

The Josephson effect presents a fundamental example of macroscopic quantum coherence as well as a crucial enabler for metrology (e.g. voltage standard), sensing (e.g. Superconducting Quantum Interference Device) and quantum information…

Quantum Gases · Physics 2025-07-03 Nalinikanta Pradhan , Rina Kanamoto , M. Bhattacharya , Pankaj Kumar Mishra

Topological superconductors which support Majorana fermions are thought to be realized in one-dimensional semiconducting wires coupled to a superconductor. Such excitations are expected to exhibit non-Abelian statistics and can be used to…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Leonid P. Rokhinson , Xinyu Liu , Jacek K. Furdyna

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

The AC Josephson effect manifests itself in the form of "Shapiro steps" of quantized voltage in Josephson junctions subject to RF radiation. This effect presents an early example of a driven-dissipative quantum phenomenon and is presently…

Mesoscale and Nanoscale Physics · Physics 2020-10-16 T. F. Q. Larson , L. Zhao , E. G. Arnault , M. T. Wei , A. Seredinski , H. Li , K. Watanabe , T. Taniguchi , F. Amet , G. Finkelstein

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 current-voltage characteristic of a driven superconducting Josephson junction displays discrete steps. This phenomenon, called the Shapiro steps, forms today's voltage standard! Here, we report the observation of Shapiro steps in a…

Quantum Gases · Physics 2026-01-07 Erik Bernhart , Marvin Röhrle , Vijay Pal Singh , Ludwig Mathey , Luigi Amico , Herwig Ott

We investigate the Josephson diode effect in an asymmetric SQUID consisting of a sinusoidal Josephson junction formed by a Bi$_2$Te$_2$Se flake and a superconducting Nb nanobridge with a linear and multivalued current-phase relation (CPR).…

We analyze the current-biased Shapiro experiment in a Josephson junction formed by two one-dimensional nanowires featuring Majorana fermions. Ideally, these junctions are predicted to have an unconventional $4\pi$-periodic Josephson effect…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Fernando Domínguez , Fabian Hassler , Gloria Platero

In a Josephson junction, which is the central element in superconducting quantum technology, irreversibility arises from abrupt slips of the gauge-invariant quantum phase difference across the contact. A quantum phase slip (QPS) is often…

Mesoscale and Nanoscale Physics · Physics 2023-04-19 E. Gümüş , D. Majidi , D. Nikolić , P. Raif , B. Karimi , J. T. Peltonen , E. Scheer , J. P. Pekola , H. Courtois , W. Belzig , C. B. Winkelmann

Quantum phase slip (QPS) is the topological singularity of the complex order parameter of a quasi-one-dimensional superconductor: momentary zeroing of the modulus and simultaneous 'slip' of the phase by 2\pi. The QPS event(s) are the…

Superconductivity · Physics 2017-03-08 K. Yu. Arutyunov , J. S. Lehtinen

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

We study quantum phase-slip (QPS) processes in a superconducting ring containing N Josephson junctions and threaded by an external static magnetic flux. In a such system, a QPS consists of a quantum tunneling event connecting two distinct…

Superconductivity · Physics 2015-03-19 G. Rastelli , I. M. Pop , F. W. J. Hekking

We demonstrate the synchronization of current quantization in a parallel array of weakly coupled Josephson Junctions operating in the regime of the coherent quantum phase slip. The first quantized current step on the voltage-current…

Superconductivity · Physics 2026-05-26 R. Shaikhaidarov , R. Hussain , V. N. Antonov , E. Il'ichev

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 have studied quantum phase-slip (QPS) phenomena in long one-dimensional Josephson junction series arrays with tunable Josephson coupling. These chains were fabricated with as many as 2888 junctions, where one sample had a tunable weak…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Adem Ergül , Jack Lidmar , Jan Johansson , Yağız Azizoğlu , David Schaeffer , David B. Haviland
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