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We discuss how to control dc Josephson current by influencing the structure and nonequilibrium population of Andreev levels via external electrostatic gates, external current injection and electromagnetic radiation. In particular we will…

Superconductivity · Physics 2009-10-31 Goran Wendin , Vitaly S. Shumeiko , Peter Samuelsson

Highly transmissive ballistic junctions are demonstrated between Nb and the two-dimensional electron gas formed at an InAs/AlSb heterojunction. A reproducible fabrication protocol is presented yielding high critical supercurrent values.…

Superconductor-topological insulator-superconductor Josephson junctions have been fabricated in order to study the width dependence of the critical current, normal state resistance and flux periodicity of the critical current modulation in…

Superconductivity · Physics 2015-06-22 C. G. Molenaar , D. P. Leusink , X. L. Wang , A. Brinkman

Josephson radiation is a useful signature for detecting Majorana zero modes in topological superconductors. We study the Josephson radiation of the underdamped topological Josephson junction within the quantum resistively and capacitively…

Superconductivity · Physics 2022-05-26 Yuejian Zhang , Xiping Yang , Jia-Jin Feng , Zhi Wang , Tianxing Ma

Josephson tunnel junctions are widely used as nonlinear elements in superconducting circuits such as low noise amplifiers and quantum bits. However, microscopic defects in the oxide tunnel barrier can produce low and high frequency noise…

Superconductivity · Physics 2010-06-10 R. Vijay , J. D. Sau , Marvin L. Cohen , I. Siddiqi

We use boundary field theory to describe the phases accessible to a tetrahedral qubit coupled to Josephson junction chains acting as Tomonaga-Luttinger liquid leads. We prove that, in a pertinent range of the fabrication and control…

Superconductivity · Physics 2011-08-11 Antonio Cirillo , Matteo Mancini , Domenico Giuliano , Pasquale Sodano

We investigate the detection of quartets in hybrid multiterminal Josephson junctions. Using simple models of quantum dots coupled to superconducting leads, we find that quartets are ubiquitous and show how to rigorously extract their…

We report a theoretical study of the macroscopic quantum dynamics in spatially extended Josephson systems. We focus on a Josephson tunnel junction of finite length placed in an externally applied magnetic field. In such a system,…

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

Quantum fluctuations of the phases of the order parameter in 2D arrays of mesoscopic Josephson junctions and their effect on the destruction of superconductivity in the system are investigated by means of a quantum-cosine model that is free…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , Yu. E. Lozovik

In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

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

Andreev bound states (ABS) occur in Josephson junctions when the total phase of the Andreev and normal reflections is a multiple of $2\pi$. In ballistic junctions with an applied voltage bias, a quasi-particle undergoes multiple Andreev…

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

The zero-voltage state of a Josephson junction biased with constant current consists of a set of metastable quantum energy levels. We probe the spacings of these levels by using microwave spectroscopy to enhance the escape rate to the…

Quantum Physics · Physics 2009-11-10 A. J. Berkley , H. Xu , M. A. Gubrud , R. C. Ramos , J. R. Anderson , C. J. Lobb , F. C. Wellstood

Energy level quantization (ELQ) is studied to clarify the macroscopic quantum dynamics of the d-wave Josephson junction (JJ). The influences of the nodal quasiparticles of d-wave superconductivity on the damping effect are numerically…

Superconductivity · Physics 2009-11-13 H. Kashiwaya , T. Matsumoto , S. Kashiwaya , H. Shibata , H. Eisaki , Y. Yoshida , S. Kawabata , Y. Tanaka

The bosonic Josephson junction, one of the maximally simple models for periodic-driven many-body systems, has been intensively studied in the past two decades. Here, we revisit this problem with five different methods, all of which have…

Quantum Gases · Physics 2024-10-01 Xiaoshui Lin , Zeyu Rao , Ming Gong

A Josephson junction may be in a stable odd parity state when a single quasiparticle is trapped in an Andreev bound state. Embedding such junction in an electromagnetic environment gives rise to a special quantum mechanics of…

Superconductivity · Physics 2023-09-07 Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

Gate-tunable semiconductor-superconductor nanowires with superconducting leads form exotic Josephson junctions that are a highly desirable platform for two types of qubits: those with topological superconductivity (Majorana qubits) and…

In hybrid Josephson junctions with three or more superconducting terminals coupled to a semiconducting region, Andreev bound states may form unconventional energy band structures, or Andreev matter, which are engineered by controlling…

We give a systematic review of the adiabatic theorem and the leading non-adiabatic corrections in periodically-driven (Floquet) systems. These corrections have a two-fold origin: (i) conventional ones originating from the gradually changing…