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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

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…

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

Bloch oscillations in nanoscale Josephson junctions with a Coulomb charging energy comparable to the Josephson coupling energy are explored within the context of a model previously considered by Geigenm\"uller and Sch\"on that includes…

Mesoscale and Nanoscale Physics · Physics 2017-08-14 Heli Vora , R. L. Kautz , S. W. Nam , J. Aumentado

Bloch oscillations were predicted and observed long ago in Josephson junctions, which are thin insulating or conducting layers bridging two superconductors. Here we forward a scheme for utilizing these oscillations to amplify nano-metric…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 T. McDermott , E. Mariani , H. Deng

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 predicted to occur in current-biased single Josephson junctions have eluded direct observation up to now. Here, we demonstrate similar Bloch oscillations in a slightly richer Josephson circuit, the quantronium. The…

Superconductivity · Physics 2007-05-23 N. Boulant , G. Ithier , F. Nguyen , P. Bertet , H. Pothier , D. Vion , C. Urbina , D. Esteve

We propose to synchronize Bloch oscillations in a double phase-slip junction by modulating the gate voltage rather than the bias voltage. We show this is advantageous and the relatively small a.c. modulation of the gate voltage gives rise…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Janis Erdmanis , Yuli Nazarov

Recently developed Josephson junction array transmission lines implement strong-coupling circuit electrodynamics compatible with a range of superconducting quantum devices. They provide both the high impedance which allows for strong…

Mesoscale and Nanoscale Physics · Physics 2024-09-19 Benjamin Remez , Vladislav D. Kurilovich , Maximilian Rieger , Leonid I. Glazman

We have designed an experiment and performed extensive simulations and preliminary measurements to identify a set of realistic circuit parameters that should allow the observation of constant-current steps at I=2ef in short arrays of small…

Superconductivity · Physics 2011-12-30 Felix Maibaum , Sergey V. Lotkhov , A. B. Zorin

We have measured the current-voltage characteristics of a single Josephson junction placed in a high impedance environment. The transfer of Cooper pairs through the junction is governed by overdamped quasicharge dynamics, leading to Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Corlevi , W. Guichard , F. W. J. Hekking , D. B. Haviland

We discuss the properties of devices of small Josephson junctions in the light of the phase fluctuation theory and the energy band structure, which arises from the delocalization of the phase variable. The theory is applied in the…

Mesoscale and Nanoscale Physics · Physics 2008-10-02 Rene Lindell , Laura Korhonen , Antti Puska , Pertti Hakonen

The dc transport properties of long arrays of small Al Josephson junctions, biased through on-chip Cr resistors, are studied. The IV-characteristics show a large Coulomb threshold for current as well as negative-slope regions indicating the…

Superconductivity · Physics 2007-05-23 Sergey V. Lotkhov , Vladimir A. Krupenin , Alexander B. Zorin

Bloch oscillations in a single Josephson junction in the phase-slip regime relate current to frequency. They can be measured by applying a periodic drive to a DC-biased, small Josephson junction. Phase-locking between the periodic drive and…

Mesoscale and Nanoscale Physics · Physics 2018-08-08 Lisa Arndt , Ananda Roy , Fabian Hassler

A transmon qubit embedded in a high-impedance environment acts in a way dual to a conventional Josephson junction. In analogy to the AC Josephson effect, biasing of the transmon by a direct current leads to the oscillations of voltage…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Vladislav D. Kurilovich , Benjamin Remez , Leonid I. Glazman

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

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

We propose a superconducting circuit based on the Bloch transistor, a quantum device consisting of two small-capacitance Josephson junctions connected in series and having a small island in between. This device is driven by two dc…

Superconductivity · Physics 2026-05-15 A. B. Zorin

Recent experimental demonstration of the quantum coherent phase slip and current quantization in the superconductors, the fundamental phenomena dual to the coherent Cooper pair tunnelling and voltage quantization (Shapiro steps), enables…

The Bloch oscillating transistor (BOT) is a device, where single electron current through a normal tunnel junction can be used to enhance Cooper pair current in a mesoscopic Josephson junction leading to signal amplification. In this paper…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Hassel , H. Seppa
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