Local description of the molecular Aharonov-Bohm effect

Details Local description of the molecular Aharonov-Bohm effect Local description of the molecular Aharonov-Bohm effect

2011-11-20

arxiv.org/abs/1111.4647v1

Physics

Quantum Physics

5 pages, 2 figures

Scientific paper

The Aharonov-Bohm effect is one of the most comprehensible examples of quantum non-locality. The so called molecular Aharonov-Bohm effect displays great similarities with the latter, but still, we show how this effect can be explained using arguments relying solely on locality, whereby we mean that the effect can be traced down to a force acting locally on the phase space distribution. Our method hinges on studying the system in its momentum representation, and introducing a "conjugate gauge potential" which render an everywhere non-zero synthetic magnetic field. The resulting Lorenz force induces a transverse current which can be attributed the equivalence of an intrinsic spin Hall effect. The idea is demonstrated for the linear Exe Jahn-Teller model and applied to the Li3 molecule, for which its corresponding Hamiltonian is obtained by diabatization of ab intio determined adiabatic potential energy surfaces.

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