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We study the dynamics of current-biased Josephson-junction arrays with a magnetic penetration depth smaller than the lattice spacing. We compare the dynamics imaged by low-temperature scanning electron microscopy to the vortex dynamics…

Based on computer simulations and theoretical analysis, a new dynamic state is found in inductively coupled intrinsic Josephson junctions in the absence of an external magnetic field. In this state, the plasma oscillation is uniform along…

Superconductivity · Physics 2008-06-20 Shizeng Lin , Xiao Hu

We explore the dissipative dynamics of nonlinearly driven oscillator systems tuned to resonances where multiple excitations are generated. Such systems are readily realised in circuit QED systems combining Josephson junctions with a…

Mesoscale and Nanoscale Physics · Physics 2021-05-21 Ben Lang , Andrew D. Armour

We report on the observation of spatially-localized excitations in a ladder of small Josephson junctions. The excitations are whirling states which persist under a spatially-homogeneous force due to the bias current. These states of the…

Condensed Matter · Physics 2009-10-31 P. Binder , D. Abraimov , A. V. Ustinov , S. Flach , Y. Zolotaryuk

We calculate the current-voltage characteristics and critical current I_c^{array} of an array of Josephson-coupled superconducting wires. The array has two layers, each consisting of a set of parallel wires, arranged at right angles, such…

Superconductivity · Physics 2009-10-31 J. Kent Harbaugh , D. Stroud

The resistivity of a one-dimensional Josephson junction array at zero temperature is calculated by estimating the nucleation rate of quantum phase slips. We choose a certain collective coordinate which describes the nucleation process and…

Superconductivity · Physics 2007-05-23 T. Inoue , M. Nishida , S. Kurihara

We study persistent currents in a Josephson junction array wrapped around a cylinder. The $T=0$ quantum statistical mechanics of the array is equivalent to the statistical mechanics of a classical $xy$ spin system in 2+1 dimensions at the…

Superconductivity · Physics 2016-10-18 D. A. Garanin , E. M. Chudnovsky

We present an experimental and theoretical study of row switching in two-dimensional Josephson junction arrays. We have observed novel dynamic states with peculiar percolative patterns of the voltage drop inside the arrays. These states…

Superconductivity · Physics 2009-10-31 D. Abraimov , P. Caputo , G. Filatrella , M. V. Fistul , G. Yu. Logvenov , A. V. Ustinov

Phase engineering techniques are used to control the dynamics of long-bosonic-Josephson-junction arrays built by linearly coupling Bose-Einstein condensates. Just at the middle point of the underlying discrete energy band of the system,…

Quantum Gases · Physics 2020-07-01 Dengling Zhang , Haibo Qiu , Antonio Muñoz Mateo

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

Starting with zero initial conditions we simulate the current-voltage characteristics (CVCs) of Intrinsic Josephson Junctions (IJJ) for parameters close to that of the BSCCO mesas. The simulation shows a regular pattern with voltage jumps…

Superconductivity · Physics 2015-11-10 Ivan Hristov , Radoslava Hristova , Stefka Dimova

We present a theoretical study of resonant frequencies and spatial correlations of Josephson phases in frustrated arrays of Josephson junctions. Two types of one-dimensional arrays, namely, the diamond and sawtooth chains, are discussed.…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 A. Andreanov , M. V. Fistul

The phase diagram of a 2D Josephson junction array with large substrate resistance, described by a quantum XY model, is studied by means of Fourier path-integral Monte Carlo. A genuine Berezinskii-Kosterlitz-Thouless transition is found up…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Luca Capriotti , Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

When a vortex in a two-dimensional Josephson junction array is driven by a constant external current it may move as a particle in a viscous medium. Here we study the nature of this viscous motion. We model the junctions in a square array as…

Condensed Matter · Physics 2016-08-14 T. J. Hagenaars , P. H. E. Tiesinga , J. E. van Himbergen , Jorge V. José

We investigate a chain of capacitively coupled Josephson junctions in the regime where the charging energy dominates over the Josephson coupling, exploiting the analogy between this system and a multi-dimensional crystal. We find that the…

Condensed Matter · Physics 2009-10-28 Yaroslav M. Blanter , Gerd Schön , Andrei D. Zaikin

Nonlinear Josephson circuits play a crucial role in the growing landscape of quantum information and technologies. The typical circuits studied in this field consist of qubits, whose anharmonicity is much larger than their linewidth, and…

Mesoscale and Nanoscale Physics · Physics 2021-09-06 F. Fani Sani , I. C. Rodrigues , D. Bothner , G. A. Steele

Power generation and synchronisation in Josephson junction arrays have attracted attention for a long time. This stems from fundamental interest in nonlinear coupled systems as well as from potential in practical applications. In this paper…

Superconductivity · Physics 2009-11-11 J. Hassel , L. Gronberg , P. Helisto , H. Seppa

Superconductivity, characterized by dissipationless current flow with flux expulsion or quantization, is usually muted when the magnetic field or the temperature is sufficiently high. However, in rare instances, superconductivity can…

Superconductivity · Physics 2025-09-03 S. Avraham , S. Sankar , S. Sandik , A. Burshtein , M. Goldstein , E. Sela , Y. Dagan

This is a review of recent work on the dynamic response of Josephson junction arrays driven by dc and ac currents. The arrays are modeled by the resistively shunted Josephson junction model, appropriate for proximity effect junctions,…

Condensed Matter · Physics 2016-08-14 Daniel Domínguez , Jorge V. José

We study synchronization in disordered arrays of Josephson junctions. In the first half of the paper, we consider the relation between the coupled resistively- and capacitively shunted junction (RCSJ) equations for such arrays and effective…

Superconductivity · Physics 2009-11-10 B. R. Trees , V. Saranathan , D. Stroud