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Bulletin of the American Physical Society

Quantum coherence in a Josephson junction array circuit.

Vladimir Manucharyan, Jens Koch, L. I. Glazman, Robert J. Schoelkopf, S. M. Girvin, Michel Devoret

Published Mar 18, 2009• 0 citations
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We have studied via computer simulations the dynamical properties of a circuit consisting of two arrays of Josephson junctions closed into a superconducting loop. Due to an internal circuit resonance the phase locking of Josephson junctions is enhanced, which makes possible the application of such a circuit as a source of coherent microwave radiation. The optimal circuit parameters and the influence of thermal noise are discussed. It is shown that the critical spread in junction parameters is about twice that of linear Josephson junction arrays. The possibility of tuning such a device is demonstrated.
Progress in understanding the mechanism of coherent oscillation in twodimensional (2-D) Josephson junction arrays has been made through analysis of the coupling circuit between two Josephson junctions. For a 2-D array to oscillate in phase, capacitive coupling is required for adjacent junctions in the same row and inductive coupling for adjacent junctions in the same column of the array. Computer simulation has been developed for two junctions coupled through a general circuit to find the optimum coupling between two junctions. The junctions in the array are also integrated with inductive tuning elements to tune out the junctions' parasitic capacitance. We have built 2-D Josephson junction arrays but no coherent oscillation has yet been observed.
Two-dimensional arrays of Josephson junctions have been shown to operate in a state in which the microwave oscillations of the junctions are phase-coherent. However, the performance of an array is strongly dependent on both the details of the load-coupling circuit and the characteristic parameters of the junctions. We have measured two-dimensional arrays of resistively shunted Josephson tunnel junctions which are capacitively coupled to a nearby detector junction. Changing the critical current of the junctions in our arrays, while keeping the junction parasitics and array coupling roughly the same, results in an unexpected change in device operation. We have also investigated variations of the coupling circuit. Numerical simulations of the detection circuit enable us to estimate the power output from the array and to optimize the parameters of the system.