Observation of breathers in Josephson ladders

Abstract

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 ladder are visualized using a low temperature scanning laser microscopy. We also compute breather solutions with high accuracy in corresponding model equations. The stability analysis of these solutions is used to interpret the measured patterns in the I-V characteristics.

References in corpus (3)

• Discrete breathers in nonlinear lattices: Experimental detection in a Josephson array
• Experimental Generation and Observation of Intrinsic Localized Spin Wave Modes in an Antiferromagnet
• Broken symmetry of row switching in 2D Josephson junction arrays

Cited by in corpus (145)

• Fano resonances in nanoscale structures
• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Discrete breathers in nonlinear lattices: Experimental detection in a Josephson array
• Discrete Breathers in One-Dimensional Diatomic Granular Crystals
• Energy transmission in the forbidden bandgap of a nonlinear chain
• Self-trapping and stable localized modes in nonlinear photonic crystals
• Long-range interaction and nonlinear localized modes in photonic crystal waveguides
• Trapping of Topological-Structural Defects in Coulomb Crystals
• Nonlinear Supratransmission
• Intrinsic Energy Localization through Discrete Gap Breathers in One-Dimensional Diatomic Granular Crystals
• The polarizability model for ferroelectricity in perovskite oxides
• Optical manipulation of intrinsic localized vibrational energy in cantilever arrays
• Solitons in Triangular and Honeycomb Dynamical Lattices with the Cubic Nonlinearity
• Intrinsic localized modes in parametrically-driven arrays of nonlinear resonators
• Soliton solutions of nonlinear Schroedinger equation on simple networks
• Synchronization in disordered Josephson junction arrays: Small-world connections and the Kuramoto model
• Nonlinear Coherent Structures in Granular Crystals
• Impact of intrinsic localized modes of atomic motion on materials properties
• Discrete breathers in Fermi-Pasta-Ulam lattices
• Discrete breathers in dissipative lattices
• Analytic Conditions for Targeted Energy Transfer between Nonlinear Oscillators or Discrete Breathers
• THz emission from intrinsic Josephson junctions at zero magnetic field via breather auto-oscillations
• Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schr{ö}dinger Lattice
• Energy transfer in strained graphene assisted by discrete breathers excited by external ac driving
• Fano resonances with discrete breathers
• Damped-Driven Granular Crystals: An Ideal Playground for Dark Breathers and Multibreathers
• Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
• Three-Dimensional Nonlinear Lattices: From Oblique Vortices and Octupoles to Discrete Diamonds and Vortex Cubes
• Experimental Generation of Intrinsic Localized Modes in a discrete electrical transmission line
• Modulation of breathers in cigar-shaped Bose-Einstein condensates
• Nonlinear localized modes in two-dimensional electrical lattices
• Discrete breathers in a nonlinear electric line: Modeling, Computation and Experiment
• Controlled switching of intrinsic localized modes in a 1-D antiferromagnet
• Management of localized energy in discrete nonlinear transmission lines
• Dynamical Glass and Ergodization Times in Classical Josephson Junction Chains
• Strongly interacting bosons on a three-leg ladder in the presence of a homogeneous flux
• Nonlinear response and discrete breather excitation in driven micro-mechanical cantilever arrays
• Diversity of discrete breathers observed in a Josephson ladder
• Effect of discrete breathers on the specific heat of a nonlinear chain
• Wandering breathers and self-trapping in weakly coupled nonlinear chains: classical counterpart of macroscopic tunneling quantum dynamics
• Wave scattering by discrete breathers
• Discrete breathers in classical spin lattices
• Effect of discrete breathers on macroscopic properties of the Fermi-Pasta-Ulam chain
• Breathers in Josephson junction ladders: resonances and electromagnetic waves spectroscopy
• Discrete breathers in thermal equilibrium: distributions and energy gaps
• Generation of travelling sine-Gordon breathers in noisy long Josephson junctions
• Interaction of moving discrete breathers with vacancies
• Nonintegrable Schrodinger Discrete Breathers
• Multi-breather solutions to the Sasa-Satsuma equation
• Discrete soliton ratchets driven by biharmonic fields
• Nonlinear Impurity in a Semi-Infinite Lattice
• Driven localized excitations in the acoustic spectrum of small nonlinear macroscopic and microscopic lattices
• Energy criterion for the spectral stability of discrete breathers
• Discrete Breathers in Josephson Ladders
• All-phononic Digital Transistor on the Basis of Gap-Soliton Dynamics in Anharmonic Oscillator Ladder
• Experimental and numerical observation of dark and bright discrete solitons in the band-gap of a diatomic-like electrical lattice
• Wavelet imaging of transient energy localization in nonlinear systems at thermal equilibrium: the case study of NaI crystals at high temperature
• Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions
• Quantum q-breathers in a finite Bose-Hubbard chain: The case of two interacting bosons
• Traveling Solitons in Long-Range Oscillator Chains
• Supratransmission-induced travelling breathers in long Josephson junctions
• Self-organized escape of oscillator chains in nonlinear potentials
• Nonlinear surface impurity in a semi-infinite 2D square lattice
• Mode-Locking of mobile discrete breathers
• Nonlinear Localized Modes in Two-Dimensional Hexagonally-Packed Magnetic Lattices
• Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation
• Quantum breathers in capacitively coupled Josephson junctions: Correlations, number conservation, and entanglement
• Linear local modes induced by intrinsic localized modes in a monatomic chain
• Resonant plasmon scattering by discrete breathers in Josephson junction ladders
• Counting discrete emission steps from intrinsic localized modes in a quasi-1D antiferromagnetic lattice
• Quantum dynamics of localized excitations in a symmetric trimer molecule
• Dimension dependent energy thresholds for discrete breathers
• Discrete Breathers in a Realistic Coarse-Grained Model of Proteins
• A conformal field theory description of magnetic flux fractionalization in Josephson junction ladders
• ac-locking of thermally-induced sine-Gordon breathers
• Interaction of a Discrete Breather with a Lattice Junction
• Decay of DNLS breathers through inelastic multiphonon scattering
• Bright Breathers in Nonlinear Left-Handed Metamaterial Lattices
• Breather Statics and Dynamics in Klein--Gordon Chains with a Bend
• Tunneling of quantum rotobreathers
• Dark discrete breather modes in monoaxial chiral helimagnet with easy-plane anisotropy
• Engineering fidelity echoes in Bose-Hubbard Hamiltonians
• Internal localized eigenmodes on spin discrete breathers in antiferromagnetic chains with on-site easy axis anisotropy
• Skyrmion-like excitations in dynamical lattices
• Breathers In Periodic Granular Chains With Multiple Band Gaps
• Multifrequency and edge breathers in the discrete sine-Gordon system via subharmonic driving: theory, computation and experiment
• Incommensurate dynamics of resonant breathers in Josephson junction ladders
• Spontaneous creation of discrete breathers in Josephson arrays
• Time-Periodic Solutions of Driven-Damped Trimer Granular Crystals
• Stability of non-time-reversible phonobreathers
• Topological order in Josephson junction ladders with Mobius boundary conditions
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
• Resonant frequencies and spatial correlations in frustrated arrays of Josephson type nonlinear oscillators
• How close Are Integrable and Non-integrable Models: A Parametric Case Study Based on the Salerno Model
• Surface solitons in quasiperiodic nonlinear photonic lattices
• Impulse-induced generation of stationary and moving discrete breathers in nonlinear oscillator networks
• Array of Josephson junctions with a non-sinusoidal current-phase relation as a model of the resistive transition of unconventional superconductors
• Cooperative surmounting of bottlenecks
• Transition fronts and their universality classes
• Classical and quantum radiation of perturbed discrete breathers
• Discrete breathers in a mechanical metamaterial
• Self-consistent theory of intrinsic localized modes: application to monatomic chain
• Discrete peakons
• Magnetic field induced control of breather dynamics in a single plaquette of Josephson junctions
• Breathers in a single plaquette of Josephson junctions: existence, stability and resonances
• Asymmetric ac fluxon depinning in a Josephson junction array: A highly discrete limit
• Resonances in one and two rows of triangular Josephson junction cells
• Multistable Dissipative Breathers and Novel Collective States in SQUID Lieb Metamaterials
• Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers
• The Drastic Role of Beyond Nearest-Neighbor Interactions on Two-Dimensional Dynamical Lattices: A Case Example
• Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes
• Experimental Critical Current Patterns in Josephson Junction Ladders
• Nonlinear Lattices Generated from Harmonic Lattices with Geometric Constraints
• Penentration of dynamic localized states in DC-driven Josephson junction ladders by discrete jumps
• Rotobreathers in a chain of coupled elastic rotators
• Localization, transport and edge states in a two-strand ladder network in an aperiodically staggered magnetic field
• Breathers in a Discrete Nonlinear Schrödinger type Model : Exact Stability Results
• Chaotic transients in the switching of roto-breathers
• Observation of breather-like states in a single Josephson cell
• Discrete breathers in ${\varphi }^4$ and related models
• Fully frustrated Josephson junction ladders with Mobius boundary conditions as topologically protected qubits
• Existence and non-existence of breather solutions in damped and driven nonlinear lattices
• Layered Chaos in Mean-field and Quantum Many-body Dynamics
• Critical current from dynamical boundary instability for fully frustrated Josephson junction arrays
• Breather decay into a vortex/anti-vortex pair in a Josephson Ladder
• Quantum Transport in Ladder-Type Networks: Role of nonlinearity, topology and spin
• Existence, Stability and Dynamics of Discrete Solitary Waves in a Binary Waveguide Array
• Vortex Fractionalization in a Josephson Ladder
• Breathers in lattices with alternating strain-hardening and strain-softening interactions
• Unusual slow energy relaxation induced by mobile discrete breathers in one-dimensional lattices with next-nearest-neighbor coupling
• Scattering of a solitary pulse on a local defect or breather
• Localized solutions of nonlinear network wave equations
• Instabilities in Josephson Ladders with Current Induced Magnetic Fields
• Multiple junction biasing of superconducting tunnel junction detectors
• Standing and Traveling Waves in a Nonlinearly Dispersive Lattice Model
• Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction
• Flat and almost flat bands in the quasi-one-dimensional Josephson junction array
• On the nonexistence of degenerate phase-shift multibreathers in a zigzag Klein-Gordon model
• Bright Discrete Solitons in Spatially Modulated DNLS Systems
• Bulk and surface localized states on a magnetic nonlinear impurity
• Moving discrete breathers in a $\beta$-FPU lattice revisited
• Stability of mode-locked kinks in the ac driven and damped sine-Gordon lattice
• Quantum dynamics of a $4\pi$-kink in Josephson junctions parallel arrays with large kinetic inductances
• A new resonance mechanism in the Swift--Hohenberg equation with time-periodic forcing
• Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions