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Wannier-Stark Ladders in One-Dimensional Elastic Systems

2006/08/16 by L. Gutiérrez, L. Gutierrez, A. Dı́az-de-Anda +7 · 2 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Mechanical and Optical Resonators #Nonlinear Photonic Systems #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.97.114301

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

arxiv created 2006/08/16 · openalex publication_date 2006/09/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The optical analogues of Bloch oscillations and their associated Wannier-Stark ladders have been recently analyzed. In this Letter 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 vice versa.

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