Nonlinear Dynamics of Josephson Junction Parametric Amplifier Arrays
GEORGIA INST OF TECH ATLANTA SCHOOL OF PHYSICS
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For practical applications, it is most desirable to operate arrays in the in-phase state, so that each oscillator has precisely the same waveform, and all oscillators are in perfect synchrony. Consequently, the first order of business is to determine the conditions under which stable in-phase operation is possible. The stability regions for a variety of circuit configurations has been mapped out, first via numerical simulations and then via approximate analytic calculations. In fact, we discovered that for certain circuit designs, the dynamics possessed a fundamental symmetry that prohibits stable in-phase orbits. We conclude immediately that such designs should be avoided for any practical application. For example, this applies to small capacitance point contact junctions shunted by a purely resistive load.
- Electrical and Electronic Equipment