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We present measurements of the temperature-dependent conductance for series arrays of small-capacitance SQUIDs. At low bias voltages, the arrays exhibit a strong Coulomb blockade, which we study in detail as a function of temperature and…

VI-curves of resistively shunted single Josephson junctions with different capacitances and tunneling resistances are found to display a crossover between two types of VI-curves: one without and another with a resistance bump (negative…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 J. S. Penttila , U. Parts , P. J. Hakonen , M. A. Paalanen , E. B. Sonin

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

Thermal activation and macroscopic quantum tunneling in current-biased discrete Josephson transmission lines are studied theoretically. The degrees of freedom under consideration are the phases across the junctions which are coupled to each…

Superconductivity · Physics 2009-10-31 Thorsten Droese , Cristiane Morais-Smith

We consider a system of two semifluxons of opposite polarity in a 0-pi-0 long Josephson junction, which classically can be in one of two degenerate states: up-down or down-up. When the distance $a$ between the 0-pi boundaries (semifluxon's…

Superconductivity · Physics 2007-05-23 E. Goldobin , K. Vogel , O. Crasser , R. Walser , W. P. Schleich , D. Koelle , R. Kleiner

Josephson circuits have been ideal systems to study complex non-linear dynamics which can lead to chaotic behavior and instabilities. More recently, Josephson circuits in the quantum regime, particularly in the presence of microwave drives,…

A theory of far-from-equilibrium transport in arrays of tunnel junctions is developed. We show that at low temperatures the energy relaxation ensuring tunneling current can become a cascade two-stage process. First, charge carriers lose…

Strongly Correlated Electrons · Physics 2015-05-18 N. M. Chtchelkatchev , V. M. Vinokur , T. I. Baturina

We examine in theory and by numerical simulation, the dynamic process of switching from a zero voltage to a finite voltage state in a Josephson junction circuit. The theoretical model describes small capacitance Josephson junctions which…

Superconductivity · Physics 2009-11-11 J. Sjostrand , J. Walter , E. Tholen , H. Hansson , D. Haviland , A. Karlhede

We use driven Monte Carlo dynamics to study the resistive behavior of superconducting Josephson junction arrays on a honeycomb lattice in a magnetic field corresponding to $f$ flux quantum per plaquette. While for $f=1/3$ the onset of zero…

Superconductivity · Physics 2013-03-26 Enzo Granato

We investigate the dynamics of the phase variable of an ideal underdamped Josephson junction in switching current experiments. These experiments have provided the first evidence for macroscopic quantum tunneling in large Josephson junctions…

Superconductivity · Physics 2009-11-11 G. S. Paraoanu

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

Zero-bias resistances of a single resistance-shunted Josephson junction are calculated as a function of the temperature by means of the path-integral Monte Carlo method in case a charging energy $E_{\rm C}$ is comparable with a Josephson…

Superconductivity · Physics 2009-11-10 Naoki Kimura , Takeo Kato

The temperature dependence of the I-V characteristics of many single-electron tunneling devices enable thermometer operation of these systems. We investigate two normal conducting kinds of them, {\sl (a)} a single junction in a…

Condensed Matter · Physics 2007-05-23 H. -O. Müller , A. Hädicke , W. Krech

Josephson current between two d-wave superconductors is calculated by using a lattice model. Here we consider two types of junctions, $i.e.$, the parallel junction and the mirror-type junction. The maximum Josephson current $(J_{c})$ shows…

Superconductivity · Physics 2009-11-10 S. Shirai , H. Tsuchiura , Y. Asano , Y. Tanaka , J. Inoue , Y. Tanuma , S. Kashiwaya

We propose to use a time-dependent imaginary potential to describe quantum mechanical tunneling through time-varying potential barriers. We use Gamow solutions for stationary tunneling problems to justify our choice of potential, and we…

Quantum Physics · Physics 2013-05-20 Christian Kraglund Andersen , Klaus Mølmer

In this article we address the problem of quantum tunneling of a non-Markovian Brownian particle away from thermal equilibrium. We calculate the Kramers escape rate at low temperature (including the zero temperature case) in the…

Chaotic Dynamics · Physics 2007-05-23 A. O. Bolivar

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 have identified anomalous behavior of the escape rate out of the zero-voltage state in Josephson junctions with a high critical current density Jc. For this study we have employed YBa2Cu3O7-x grain boundary junctions, which span a wide…

An effective free energy of a two dimensional (i.e. large area) Josephson Junctions is derived, allowing for thermal fluctuations, for random magnetic fields and for external currents. We show by using replica symmetry breaking methods,…

Superconductivity · Physics 2009-10-30 Baruch Horovitz , Anatoly Golub

In this work we investigate the energy gap between the ground state and the first excited state in a model of two single-mode Bose-Einstein condensates coupled via Josephson tunneling. The energy gap is never zero when the tunneling…

Other Condensed Matter · Physics 2009-11-10 A. P. Tonel , J. Links , A. Foerster