Shape waves in 2D Josephson junctions: exact solutions and time dilation
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.
Cite
@article{arxiv.0808.1514,
title = {Shape waves in 2D Josephson junctions: exact solutions and time dilation},
author = {D. R. Gulevich and F. V. Kusmartsev and S. Savel'ev and V. A. Yampol'skii and F. Nori},
journal= {arXiv preprint arXiv:0808.1514},
year = {2009}
}
Comments
10 pages, 2 figures