Transmission of waves through a pinned elastic medium
Abstract
We investigate the scattering of elastic waves off a disordered region described by a one-dimensional random-phase sine-Gordon model. The collective pinning results in an effective static disorder potential with universal and non-Gaussian correlations, acting on propagating waves. We find signatures of the correlations in the wave transmission in a wide frequency range, which covers both the weak and strong localization regimes. Our theory elucidates the dynamics of collectively-pinned phases occurring in any natural or synthetic elastic medium. The latter one is exemplified by a one-dimensional array of Josephson junctions, for which we specify our results. The obtained results provide benchmarks for the array-enabled quantum simulations addressing the dynamics in broader and yet-unexplored domains of individual pinning and quantum Bose glass.
Keywords
Cite
@article{arxiv.2012.00305,
title = {Transmission of waves through a pinned elastic medium},
author = {Tsuyoshi Yamamoto and Leonid I. Glazman and Manuel Houzet},
journal= {arXiv preprint arXiv:2012.00305},
year = {2021}
}
Comments
19 pages, 12 figures