Shape waves in 2D Josephson junctions: exact solutions and time dilation.
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.
Gulevich
D R
DR
Physics Department, Loughborough University, Leicestershire, United Kingdom.
Kusmartsev
F V
FV
Savel'ev
Sergey
S
Yampol'skii
V A
VA
Nori
Franco
F