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Nonadiabatic scattering of a quantum particle in an inhomogenous magnetic field

F. Dahlem·F. Evers·A. D. Mirlin·D. G. Polyakov·P. Woelfle
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Abstract

We investigate the quantum effects, in particular the Landau-level quantization, in the scattering of a particle the nonadiabatic classical dynamics of which is governed by an adiabatic invariant. As a relevant example, we study the scattering of a drifting particle on a magnetic barrier in the quantum limit where the cyclotron energy is much larger than a broadening of the Landau levels induced by the nonadiabatic transitions. We find that, despite the level quantization, the exponential suppression $\exp(-2πd/δ)$ (barrier width $d$, orbital shift per cyclotron revolution $δ$) of the root-mean-square transverse displacement experienced by the particle after the scattering is the same in the quantum and the classical regime.

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F. Dahlem, F. Evers, A. D. Mirlin, D. G. Polyakov, P. Woelfle. 2001-05-29. Nonadiabatic scattering of a quantum particle in an inhomogenous magnetic field. https://doi.org/10.1209/epl%2Fi2001-00458-0

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