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We analyze the influence of an impurity in the movement of discrete breathers in Klein--Gordon chains. We observe that the moving breather can cross the impurity, can be reflected by it, or can be trapped originating a quasi-periodic…

Pattern Formation and Solitons · Physics 2009-11-07 J. Cuevas , F. Palmero , J. F. R. Archilla , F. R. Romero

We consider the discrete p-Schr\"odinger (DpS) equation, which approximates small amplitude oscillations in chains of oscillators with fully-nonlinear nearest-neighbors interactions of order alpha = p-1 >1. Using a mapping approach, we…

Pattern Formation and Solitons · Physics 2013-12-18 Guillaume James , Yuli Starosvetsky

Current-biased Josephson junctions can act as detectors of electromagnetic radiation. At optimal conditions, their sensitivity is limited by fluctuations causing stochastic switching from the superconducting to the resistive state. This…

Superconductivity · Physics 2025-04-30 Vladimir M. Krasnov

We present the design, measurement and analysis of a current sensor based on a process of Josephson parametric upconversion in a superconducting microwave cavity. Terminating a coplanar waveguide with a nanobridge constriction Josephson…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Felix E. Schmidt , Daniel Bothner , Ines C. Rodrigues , Mario F. Gely , Mark D. Jenkins , Gary A. Steele

We consider microscopically low-temperature transport in weakly disordered arrays of Josephson junctions in the Coulomb blockade regime. We demonstrate that at sufficiently low temperatures the main contribution to the dc conductivity comes…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. V. Syzranov , K. B. Efetov , B. L. Altshuler

We study motion of vortices in arrays of Josephson junctions at zero temperature where it is controlled by quantum tunneling from one plaquette to another. The tunneling process is characterized by a finite time and can be slow compared to…

Soft Condensed Matter · Physics 2009-10-30 L. B. Ioffe , B. N. Narozhny

We study the dynamics of a Josephson junction connected to a dc current supply via a distributed parameter capacitor, which serves as a resonator. We reveal multistability in the current-voltage characteristic of the system; this…

Pattern Formation and Solitons · Physics 2018-02-07 Denis S. Goldobin , Lyudmila S. Klimenko

We touch upon the wide topic of discrete breather formation with a special emphasis on the the $\phi^4$ model. We start by introducing the model and discussing some of the application areas/motivational aspects of exploring time periodic,…

Pattern Formation and Solitons · Physics 2020-08-25 J. Cuevas-Maraver , P. G. Kevrekidis

Quantum breathers are studied numerically in several electron-phonon coupled finite chain systems, in which the coupling results in intrinsic nonlinearity but with varying degrees of nonadiabaticity. As for quantum nonlinear lattice…

Soft Condensed Matter · Physics 2009-10-30 W. Z. Wang , A. R. Bishop , J. T. Gammel , R. N. Silver

The Discrete NonLinear Schr\"odinger (DNLS) equation displays a parameter region characterized by the presence of localized excitations (breathers). While their formation is well understood and it is expected that the asymptotic…

Statistical Mechanics · Physics 2017-07-17 Stefano Iubini , Antonio Politi , Paolo Politi

We consider the classical and quantum dynamics of excitations in a system of two capacitively coupled Josephson junctions. In the classical case the equations of motion admit discrete breather solutions, which are time periodic and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. A. Pinto , S. Flach

The dc current-voltage characteristics of small Josephson junctions reveal features that are not observed in larger junctions, in particular, a switch to the finite voltage state at current values much less than the expected critical…

Superconductivity · Physics 2024-04-11 Venkat Chandrasekhar

We consider the dynamics of a two-dimensional array of underdamped Josephson junctions placed in a single-mode resonant cavity. Starting from a well-defined model Hamiltonian, which includes the effects of driving current and dissipative…

Superconductivity · Physics 2009-11-07 E. Almaas , D. Stroud

We propose here an experiment aimed to determine whether there are superconducting pairing fluctuations in the pseudogap regime of the high-$T_c$ materials. In the experimental setup, two samples above $T_c$ are brought into contact at a…

Superconductivity · Physics 2009-10-31 Ivar Martin , Alexander Balatsky

We have developed a model for experiments in which the bias current applied to a Josephson junction is slowly increased from zero until the junction switches from its superconducting zero-voltage state, and the bias value at which this…

Statistical Mechanics · Physics 2012-03-06 James A. Blackburn , Matteo Cirillo , Niels Grønbech-Jensen

It is demonstrated that the breather solutions recently discovered in the weakly coupled topological discrete sine-Gordon system are spectrally unstable. This is in contrast with more conventional spatially discrete systems, whose breathers…

High Energy Physics - Theory · Physics 2014-11-12 J. M. Speight

We propose novel model system for the studies of superconductor-insulator transitions, which is a regular lattice, whose each link consists of Josephson-junction chain of $N \gg 1$ junctions in sequence. The theory of such an array is…

Superconductivity · Physics 2022-06-01 I. V. Protopopov , M. V. Feigel'man

Exact stability analysis of 1-site breathers in an NLS type model (ref. [4], see below) indicates destabilisation through a growth rate becoming positive as a stability border is crossed, while above a critical spatial decay rate…

Pattern Formation and Solitons · Physics 2009-11-07 Avijit Lahiri , Subhendu Panda , Tarun K. Roy

We study the low-temperature properties of linear Josephson-junction arrays capacitively coupled to a proximate two-dimensional diffusive metal. Using bosonization techniques, we derive an effective model for the array and obtain its…

Superconductivity · Physics 2012-09-03 Alejandro M. Lobos , Thierry Giamarchi

We report low temperature, microwave transmission measurements on a new switchable and tunable class of nonlinear metamaterials. A wireless two dimensional array of Josephson junctions (JJ) is probed as a metamaterial where each plaquette…

Superconductivity · Physics 2015-01-26 L. L. A. Adams