Circuit for Precision Simulation of a Capacitive Josephson Junction

A circuit is described which functions as a precision electronic analog of a resistively shunted, capacitive Josephson junction. This design offers significant improvements over earlier simulators, particularly because no analog switches are required, and also because high performance op-amps have been matched to the demands of the circuit. The junction analog is used to generate I-V curves, and to model the dynamics when an abrupt bias pulse is applied. The simulator is shown to be very accurate when tested against numerical solutions for the same systems

Multiple Quantum Flux Penetration in Superconducting Loops

The dynamics of flux entry into a superconducting loop interrupted by a thin-film Josephson junction have been studied experimentally. A computer simulation of the system yields excellent agreement with these data. It is found that a specific number of flux quanta will bubble into a loop, and that this number depends only on the relative damping which is present

A Note on Chambers’ Method

A correction is given for one of Chambers’ second-order iteration formulae. It is shown that composition of the secant method with itself exhibits a convergence exponent of 2.414, whereas composition of the iteration function with itself yields an exponent of 2.83

Hyperradiance from Soliton Oscillators Synchronized by Capacitive or Inducitve Coupling

The output power from coupled Josephson oscillators is investigated when the junctions are operated in their single fluxon mode. We demonstrate that both inductive and capacitive coupling mechanisms can give rise to hyperradiance when the power is coupled out through a boundary resistor. Analytical expressions are derived from adiabatic perturbation theory and excellent agreement is found between the analytical expression and numerical simulations

Chaos in Extended Linear Arrays of Josephson Weak Links

Extended linear arrays of interacting Josephson weak links are studied by numerical simulation using the resistively shunted junction model. The minimum coupling strength for chaotic behavior is determined as a function of the number of links. This strength is found to diminish steadily with increasing number, despite the inclusion of only nearest-neighbor interaction. The implications for Josephson technology are briefly discussed. Mathematically, the results are a confirmation of the Ruelle-Takens scenario for chaos

Probing the Phase-Dependent Conductance and Nonequilibrium Properties of Josephson Junctions by Means of Flux Entry into Weakly Closed Loops

Numerical simulations have shown that the relative number of flux quanta which penetrate a weakly closed superconducting loop depends upon the magnitude and sign of the phase-dependent conductance. We examine the possible use of this dependence as an experimental probe of the cosy term and nonequilibrium properties of Josephson junctions

Intermittent Synchronization in a Pair of Coupled Chaotic Pendula

Numerical simulations have been carried out for a pair of unidirectionally coupled identical pendula under the action of a common external ac torque. Both the master pendulum and the slave pendulum were in chaotic states. The only form of persistent locking appeared to be a computational artifact; otherwise the synchronization of slave to master was found to be intermittent

Chaos and Thermal Noise in a Josephson Junction Coupled to a Resonant Tank

Selected dynamical modes are investigated for the autonomous system formed from a dc biased Josephson junction which is resistively coupled to a resonant tank. A hysteretic zone in the current-voltage characteristic is shown to result from coexisting chaotic and periodic states. The detailed features of these states, including the geometrical structure of the attractors and their basins of attraction, as well as thermally induced transitions between them, are explored

Intermittent Synchronization of Resistively Coupled Chaotic Josephson Junctions

Numerical simulations have been used to investigate the dynamics of a pair of resistively linked Josephson junctions with ac bias. For suitable choices of parameters, the chaotic states of the two junctions become intermittently synchronized. Intervals of synchronization are interleaved between bursts of desynchronized activity. The distributions of these laminar times and their dependence on the coupling strength are determined. The role of phase winding in the definition of synchronization intervals is considered

On the Classical Model for Microwave Induced Escape from a Josephson Washboard Potential

We revisit the interpretation of earlier low temperature experiments on Josephson junctions under the influence of applied microwaves. It was claimed that these experiments unambiguously established a quantum phenomenology with discrete levels in shallow wells of the washboard potential, and macroscopic quantum tunneling. We here apply the previously developed classical theory to a direct comparison with the original experimental observations, and we show that the experimental data can be accurately represented classically. Thus, our analysis questions the necessity of the earlier quantum mechanical interpretation.Comment: 4 pages, one table, three figures. Submitted for publication on December 14, 200