Josephson transmission line revisited

Abstract

We consider the series-connected Josephson transmission line (JTL), constructed from Josephson junctions, capacitors and (possibly) resistors. We calculate the velocity of shocks in the discrete lossy JTL. We study thoroughly the continuum and the quasi-continuum approximations to the discrete JTL, both lossless and lossy. In the framework of these approximations we show that the compact travelling waves in the lossless JTL are the kinks and the solitons, and calculate their velocities. On top of each of the above mentioned approximations, we propose the simple wave approximation, which decouples the JTL equations into two separate equations for the right- and left-going waves. The approximation, in particular, allows to easily consider the formation of shocks in the lossy JTL.

PdfLaTeX, 9+epsilon pages, 5 Figures

References in corpus (5)

• Resonantly phase-matched Josephson junction traveling wave parametric amplifier
• Photon-instanton collider implemented by a superconducting circuit
• Superconductor-insulator transition in Josephson junction chains by quantum Monte-Carlo
• Shock wave in series connected Josephson transmission line: Theoretical foundations and effects of resistive elements
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Cited by in corpus (4)

• The shocks in Josephson transmission line revisited
• Shock waves in nonlinear transmission lines
• Exact analytical solutions for the kinks, the solitons and the shocks in discrete nonlinear transmission line with nonlinear capacitance
• On the kinks in discrete systems