Gauge invariance and wave packet simulations in the presence of dipole fields

Details Gauge invariance and wave packet simulations in the presence of dipole fields Gauge invariance and wave packet simulations in the presence of dipole fields

1994-09-07

arxiv.org/abs/cond-mat/9409030v1

Physics

Condensed Matter

4 pages (Revtex 3.0), figures upon request, LA-UR-94-3035

Scientific paper

10.1016/0921-4526(95)00374-I

A method for performing wave packet simulations in dipole fields is presented. Starting from a Hamiltonian with non commuting terms, a gauge transformation leads to a new Hamiltonian which allows to calculate explicitly the evolution operator. In this new gauge, the dipole field is fully included in the {\it vector} potential. The method of Goldberg, Schwartz and Schey based on the Caley form of the evolution operator is then generalized, and the resulting scheme is applied to describe a switching device based on Rabi oscillations. The probability to tunnel in the free region exhibits a plateaux structure as the wave function is emitted by ``bursts'' after each Rabi oscillation has been completed.

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