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Physics Letters A

Optical analogue of the Aharonov–Bohm effect using anisotropic media

César Augusto Dartora, Kleber Zuza Nobrega, G. G. Cabrera

Published May 7, 2011• 13 citations
Publisher
DOI
10.1016/j.physleta.2011.04.058

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The nonlocal and topological nature of the molecular Aharonov-Bohm (MAB) effect is examined for real electronic Hamiltonians. A notion of preferred gauge for MAB is suggested. The MAB effect in the linear + quadratic EotimesepsilonE\\otimes \\epsilonEotimesepsilon Jahn-Teller system is shown to be essentially analogues to an anisotropic Aharonov-Casher effect for an electrically neutral spin−1/2-{1/2}−1/2 particle encircling a certain configuration of lines of charge.
The electromagnetic wave equations in a moving medium may be approximated by a form similar to that of the Schrödinger equation for a particle in an electromagnetic field, with the velocity v of the medium and the vorticity ∇×v playing the roles of the vector potential and magnetic field, re- spectively. A purely classical optical analogue of the Aharonov–Bohm effect follows by consider- ation of the interference pattern produced by two beams, each of which propagates in a region with zero vorticity, but such that the flux of the vorticity through the closed loop defined by the optical paths does not vanish. Fizeau’s experiment (1851) on the velocity of light in moving media may be regarded as an example of such a situation.