Abstract
Within the framework of a tunneling Hamiltonian, we obtain an equation for the reduced density matrix to describe quasiclassical dynamics and fluctuation effects in distributed Josephson junctions for voltages comparable with the superconducting gap. For quasiclassical dynamics, we derive the Langevin equation describing in a self-consistent way the resistive state and fluctuations due to both the tunneling current and the electromagnetic field. Current-voltage characteristics of a Josephson oscillator are calculated in the high magnetic field approximation. The intensity and shape of the spectral line of radiation due to vortices moving in a distributed Josephson junction are found.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 48, No. 10–11, pp. 955–963, October–November 2005.
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Kurin, V.V., Pimenov, I.V. Quantum fluctuations in a distributed Josephson junction and the spectral properties of Josephson oscillators. Radiophys Quantum Electron 48, 851–858 (2005). https://doi.org/10.1007/s11141-006-0017-1
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DOI: https://doi.org/10.1007/s11141-006-0017-1