非厄米特 stealthy 超均匀性
Non-Hermitian stealthy hyperuniformity
AI总结：
本文提出非厄米特系统中的超均匀性和 stealthiness，扩展非厄米特框架至相关杂乱，揭示单向散射相的特性。
摘要：
对称驱动的开放系统中的波物理，以奇偶时间（PT）对称为例，已经将材料科学中的晶相景观扩展到包括增益-损耗介质。鉴于对用于波操控的工程杂乱日益增长的兴趣，此类非厄米特晶体促使非厄米特框架扩展到相关杂乱领域。在此，我们提出非厄米特系统中的超均匀性和 stealthiness 作为 PT 对称晶体向相关杂乱的推广。我们扩展散射微结构对应关系到开放系统，制定非厄米特超均匀性和 stealthiness，涵盖其厄米特对应者。这种方法，结合非厄米特材料的统计晶体学框架，证明了材料势的实虚交叉相关性对实现超均匀性无关，但对表征 stealthiness 是必要的，揭示了单向散射相，这些在厄米特材料和非厄米特晶体中不可达。通过分析所得到材料的微结构统计，我们的结果，基于非厄米特波物理，建立与材料科学的联系，涵盖传统相关杂乱描述。
英文摘要：
Symmetry-driven wave physics in open systems, exemplified by parity-time (PT) symmetry, has extended the landscape of crystalline phases in materials science to include gain-loss media. Given the growing interest in engineering disorder for wave manipulation, such non-Hermitian crystals motivate the extension of non-Hermitian frameworks into the realm of correlated disorder. Here, we propose hyperuniformity and stealthiness in non-Hermitian systems as a generalization of PT-symmetric crystals to correlated disorder. We extend the scattering-microstructure correspondence to open systems, formulating non-Hermitian hyperuniformity and stealthiness that encompass their Hermitian counterparts. This approach, incorporating a statistical crystallography framework for non-Hermitian materials, demonstrates that real-imaginary cross-correlations of the material potential are irrelevant for achieving hyperuniformity but are essential for characterizing stealthiness, revealing unidirectional scattering phases that are inaccessible in Hermitian materials and in non-Hermitian crystals. By analysing the microstructural statistics of the resulting materials, our results, building on non-Hermitian wave physics, establish a connection to materials science, encompassing conventional descriptors of correlated disorder.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
