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arXiv · 2303.01077

Localization for random coupled harmonic oscillators on $\mathbb{Z}^d$

Hongzi Cong·Yunfeng Shi·Zhihan Zhang
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Abstract

In this paper we consider the localization properties of coupled harmonic oscillators in random media. Each of these oscillators is restricted to the lattice $\mathbb{Z}^d$. We show that for most states and an arbitrary choice of the random media, the long time localization for the coupled system holds in a time scale larger than the polynomial one.

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Hongzi Cong, Yunfeng Shi, Zhihan Zhang. 2023-03-02. Localization for random coupled harmonic oscillators on $\mathbb{Z}^d$. https://arxiv.org/abs/2303.01077

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