Wannier-Stark ladders in one-dimensional elastic systems

Details Wannier-Stark ladders in one-dimensional elastic systems Wannier-Stark ladders in one-dimensional elastic systems

2006-08-16

arxiv.org/abs/cond-mat/0608343v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 6 figures, accepted in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.97.114301

The optical analogues of Bloch oscillations and their associated Wannier-Stark ladders have been recently analyzed. In this paper we propose an elastic realization of these ladders, employing for this purpose the torsional vibrations of specially designed one-dimensional elastic systems. We have measured, for the first time, the ladder wave amplitudes, which are not directly accessible either in the quantum mechanical or optical cases. The wave amplitudes are spatially localized and coincide rather well with theoretically predicted amplitudes. The rods we analyze can be used to localize different frequencies in different parts of the elastic systems and viceversa.

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