Two-fluxon dynamics in an annular Josephson junction

Abdufarrukh A. Abdumalikov*, Boris A. Malomed, Alexey V. Ustinov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Two-fluxon state in an annular Josephson junction in the presence of external magnetic field is studied analytically, numerically, and experimentally. We obtain an analytical expression for the potential of interaction between the fluxons moving at arbitrary velocities (without the use, of the "nonrelativistic" approximation). Treating the fluxons as quasiparticles, we then derive equations of motion for them. Direct simulations of the full extended sine-Gordon equation are in good agreement with results produced by the analytical model, in a relevant parameter region. Experimental data qualitatively agree with the numerical results.

Original languageEnglish
Article number144502
Pages (from-to)144502-1-144502-6
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number14
StatePublished - Apr 2004


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