Do Vortices Entangle?

Details Do Vortices Entangle? Do Vortices Entangle?

2003-07-15

arxiv.org/abs/cond-mat/0307374v1

Phys. Rev. Lett. 92, 157002 (2004)

Physics

Condensed Matter

Superconductivity

4 pages, 3 postscript figures

Scientific paper

10.1103/PhysRevLett.92.157002

We propose an experiment for directly constructing and locally probing topologically entangled states of superconducting vortices which can be performed with present-day technology. Calculations using an elastic string vortex model indicate that as the pitch (the winding angle divided by the vertical distance) increases, the vortices approach each other. At values of the pitch higher than a maximum value the entangled state becomes unstable to collapse via a singularity of the model. We provide predicted experimental signatures for both vortex entanglement and vortex cutting. The local probe we propose can also be used to explore a wide range of other quantities.

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