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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

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…

Superconducting circuits for quantum information processing are often described theoretically in terms of a discrete charge, or equivalently, a compact phase/flux, at each node in the circuit. Here we revisit the consequences of lifting…

Quantum Physics · Physics 2020-03-09 Dat Thanh Le , Jared H. Cole , T. M. Stace

The Bloch-oscillating transistor (BOT) is an amplifier that utilizes semiclassical dynamics of states in energy bands under traveling quasimomentum. In a BOT, a single quasiparticle tunneling across a base tunnel junction switches the state…

Mesoscale and Nanoscale Physics · Physics 2014-12-24 J. Leppäkangas , A. Puska , L. Äkäslompolo , E. Thuneberg , P. J. Hakonen

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

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…

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

A quantum-limited electrometer based on charge modulation of the Josephson supercurrent in the Bloch transistor inserted into a superconducting ring is proposed. As this ring is inductive coupled to a high-Q resonance tank circuit, the…

Superconductivity · Physics 2009-10-31 A. B. Zorin

Bloch oscillations are a fundamental phenomenon linking the adiabatic transport of Cooper pairs to time. Here, we investigate synchronization of the Bloch oscillations in a strongly coupled system of sub-100 nm Al/AlOx/Al Josephson…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Fabian Kaap , David Scheer , Fabian Hassler , Sergey Lotkhov

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

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

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 show theoretically the possibility of quantum synchronization of Josephson and Bloch oscillations in a superconducting device. One needs an $LC$ oscillator to achieve exponentially small rate of synchronization errors. The…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Alina Hriscu , Yuli V. Nazarov

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

The Single Cooper Pair Josephson Transistor is a device that exhibits at the same time charge quantization and phase coherence. Coherent quantum phase slip phenomenon is "dual" the Josephson phase coherence while the charge quantization is…

Mesoscale and Nanoscale Physics · Physics 2014-06-04 S. Kafanov , N. M. Chtchelkatchev

Quantum fluctuations in quasi-one-dimensional superconducting channels leading to spontaneous changes of the phase of the order parameter by $2\pi$, alternatively called quantum phase slips (QPS), manifest themselves as the finite…

Superconductivity · Physics 2012-11-12 J. S. Lehtinen , K. Zakharov , K. Yu. Arutyunov

Unlike classical bits that can only occupy one of two discrete states, quantum bits (qubits) can exist in arbitrary coherent superpositions of the ground and excited states. This fundamental distinction grants qubits enhanced capabilities…

Quantum Physics · Physics 2025-05-28 Xiao-Meng Zhang , Guang-Chen He , Zhao-Xian Chen , Ze-Guo Chen , Ming-Hui Lu , Yan-Feng Chen

By coupling a harmonic oscillator to a quantum system it is possible to perform a dispersive measurement that is quantum non-demolition (QND), with minimal backaction. A non-linear oscillator has the advantage of measurement gain, but what…

Mesoscale and Nanoscale Physics · Physics 2008-09-12 O. Naaman , J. Aumentado , L. Friedland , J. S. Wurtele , I. Siddiqi

Superconducting circuits can exhibit quantized energy levels and long coherence times. Harnessing the anharmonicity offered by Josephson junctions, such circuits have been successfully employed as qubits, quantum limited amplifiers and…

Mesoscale and Nanoscale Physics · Physics 2025-06-24 Priya Sharma , Jens Koch , Eran Ginossar

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
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