Shape Waves in 2D Josephson Junctions: Exact Solutions and Time Dilation

D. R. Gulevich, F. V. Kusmartsev, Sergey Savel’ev, V. A. Yampol’skii, and Franco Nori
Phys. Rev. Lett. 101, 127002 – Published 18 September 2008

Abstract

We predict a new class of excitations propagating along a Josephson vortex in two-dimensional Josephson junctions. These excitations are associated with the distortion of a Josephson vortex line and have an analogy with shear waves in solid mechanics. Their shapes can have an arbitrary profile, which is retained when propagating. We derive a universal analytical expression for the energy of arbitrary shape excitations, investigate their influence on the dynamics of a vortex line, and discuss conditions where such excitations can be created. Finally, we show that such excitations play the role of a clock for a relativistically moving Josephson vortex and suggest an experiment to measure a time dilation effect analogous to that in special relativity.

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  • Received 27 April 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.127002

©2008 American Physical Society

Authors & Affiliations

D. R. Gulevich1,2, F. V. Kusmartsev1, Sergey Savel’ev1,2, V. A. Yampol’skii2,3, and Franco Nori2,4

  • 1Physics Department, Loughborough University, Leicestershire, LE11 3TU, United Kingdom
  • 2Advanced Science Institute, The Institute of Physical and Chemical Research (RIKEN), Wako-shi, Saitama, 351-0198, Japan
  • 3Usikov Institute for Radiophysics and Electronics, Ukrainian Academy of Science, 61085 Kharkov, Ukraine
  • 4MCTP, Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA

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Issue

Vol. 101, Iss. 12 — 19 September 2008

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