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arXiv · 2012.00305

Transmission of waves through a pinned elastic medium

Tsuyoshi Yamamoto·Leonid I. Glazman·Manuel Houzet
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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.

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BibTeXRIS

Tsuyoshi Yamamoto, Leonid I. Glazman, Manuel Houzet. 2020-12-01. Transmission of waves through a pinned elastic medium. https://doi.org/10.1103/physrevb.103.224211

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