Symmetry-Induced Tunnelling in One-Dimensional Disordered Potentials

Abstract

A new mechanism of tunnelling at macroscopic distances is proposed for a wave packet localized in one-dimensional disordered potential with mirror symmetry, V(-x)=V(x). Unlike quantum tunnelling through a regular potential barrier, which occurs only at the energies lower then the barrier height, the proposed mechanism of tunnelling exists even for weak white-noise-like scattering potentials. It also exists in classical circuits of resonant contours with random resonant frequencies. The latter property may be used as a new method of secure communication, which does not require coding and decoding of the transmitting signal.

10 pages, 4 figures

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• Hawking radiation in an electro-magnetic wave-guide?
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Cited by in corpus (4)

• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Localization in Correlated Bi-Layer Structures: From Photonic Cristals to Metamaterials and Electron Superlattices
• Microwave realization of quasi one-dimensional systems with correlated disorder
• Transfer efficiency enhancement and eigenstate properties in locally symmetric disordered finite chains