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#### Multiple-path interferometer with a single quantum obstacle

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##### Citation

Schomerus, H., Noat, Y., Dalibard, J., & Beenakker, C. W. J. (2002). Multiple-path
interferometer with a single quantum obstacle.* Europhysics Letters,* *57*(5),
651-657. Retrieved from http://www.edpsciences.org/articles/epl/abs/2002/05/6971/6971.html.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-37FA-0

##### 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.