Small–radiation-amplitude dynamical voltage model of an irradiated, externally unbiased Josephson tunnel junction

Robert T. McAdory, Jr.

doi:10.1103/PhysRevB.37.7368

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Small–radiation-amplitude dynamical voltage model of an irradiated, externally unbiased Josephson tunnel junction

Robert T. McAdory, Jr.

DOI 10.1103/PhysRevB.37.7368 · Physical Review B

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Abstract

A theory is presented for the nonequilibrium voltage states of an irradiated Josephson junction shunted by an external resistor but with no external current or voltage biasing. This device, referred to as a free-running Josephson junction, is modeled in a small–radiation-amplitude, deterministic regime extending the previous work of Shenoy and Agarwal. The time-averaged induced voltage is treated as a dynamical variable, the external radiation is modeled as a current source, and the induced junction-radiation vector potential, with and without a mode structure, is treated to first order in the driving currents. A dynamical equation for the time-averaged induced voltage yields a (nonequilibrium) steady-state relation between the time-averaged induced voltage and the incident radiation amplitude valid for a wide range of voltages, including zero. Regions of bistability occur in the voltage–versus–incident-amplitude curves, some of which are dependent on the external resistor. The zero-voltage state breaks down, as the external radiation amplitude is increased, at a critical value of the incident-radiation amplitude inversely proportional to the external resistance.