Symmetry-Induced Tunnelling in One-Dimensional Disordered Potentials

TL;DR

This paper introduces a novel tunnelling mechanism in symmetric disordered potentials that operates at macroscopic distances, applicable in both quantum and classical systems, with potential secure communication applications.

Contribution

It proposes a new symmetry-induced tunnelling mechanism that occurs even with weak scattering potentials, differing from traditional quantum tunnelling.

Findings

Tunnelling exists at any energy level, not just below barrier height.

Applicable to classical circuits with random resonant frequencies.

Potential for secure communication without coding or decoding.

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.