Multiple-path interferometer with a single quantum obstacle

Schomerus, Henning; Noat, Y; Dalibard, J; Beenakker, CWJ

doi:10.1209/epl/i2002-00512-5

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Multiple-path interferometer with a single quantum obstacle

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Schomerus, Henning
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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https://arxiv.org/pdf/cond-mat/0103491.pdf
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Schomerus, H., Noat, Y., Dalibard, J., & Beenakker, C. (2002). Multiple-path interferometer with a single quantum obstacle. EPL, 57(5), 651-657. doi:10.1209/epl/i2002-00512-5.

Cite as: https://hdl.handle.net/21.11116/0000-0010-51B9-2

Abstract

We consider the scattering of particles (kinetic energy epsilon) by an obstacle which tunnels coherently between two positions ( tunnel splitting Delta), for arbitrary values of epsilon/Delta and scattering strength U. The obstacle mimics two classical scatterers at fixed positions when epsilon less than or similar to Delta. Interference disappears when epsilon >> Delta, but can be recovered if the elastic-scattering channel is detected only. At intermediate values of there is a systematic interplay of the coherent tunnel motion and the ballistic particle motion. We show that the transmission probability can remain finite even in the limit U --> infinity because the particle can evade the obstacle systematically. We discuss the realization of a quantum obstacle in mesoscopic systems.