弹性介质中的波传播
Transmission of waves through a pinned elastic medium
摘要：
本文研究了一维随机相位sine-Gordon模型描述的无序区域对弹性波的散射。集体钉扎导致一个有效的静态无序势与普遍和非高斯相关，作用于传播波。我们发现签名的相关性在波的传输在一个很宽的频率范围内，它涵盖了弱和强本地化制度。我们的理论阐明了在任何天然或合成弹性介质中发生的集体钉扎相的动力学。后一个例子是一个一维阵列的约瑟夫森结，我们指定我们的结果。所获得的结果提供基准阵列使能的量子模拟解决在更广泛的和尚未探索的领域的个人钉扎和量子玻色玻璃的动力学。
英文摘要：
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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