Time Dilation of a Bound Half-Fluxon Pair in a Long Josephson Junction with a Ferromagnetic Insulator
Munehiro Nishida, Kyoko Murata, Toshiyuki Fujii, Noriyuki Hatakenaka
DOI 10.1103/PhysRevLett.99.207004 · Physical Review Letters
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Abstract
The fluxon dynamics in a long Josephson junction with a ferromagnetic insulating layer is investigated. It is found that the Josephson phase obeys a double sine-Gordon equation involving a bound π fluxon solution, and the internal oscillations of the bound pair acting as a clock exhibit Lorentz reductions in their frequencies regarded as a relativistic effect in the time domain, i.e., time dilation. This is the complement to the Lorentz contraction of fluxons with no clock. A possible observation scheme is also discussed.
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