Generation of Schubert polynomial series via nanometre-scale photoisomerization in photochromic single crystal and double-probe optical near-field measurements
Generation of Schubert polynomial series via nanometre-scale photoisomerization in photochromic single crystal and double-probe optical near-field measurements
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DOI：
10.1038/s41598-020-59603-1
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发表时间：
2020-02-17
影响因子：
4.6
通讯作者：
Hori, Hirokazu
中科院分区：
文献类型：
--
作者：
Uchiyama, Kazuharu;Suzui, Hirotsugu;Hori, Hirokazu
基于物理过程的不规则时间序列的生成是计算和人工智能中不可缺少的一部分。在这份报告中，我们提出并证明生成舒伯特多项式，这是数学中的通用排列的基础，通过光学近场过程中引入的光致变色晶体的二芳基乙烯结合一个简单的光子检测协议。在光致变色单晶表面的光学近场激发产生局部光致异构化链，在晶体的相对侧上形成复杂图案。入射光子穿过纳米结构的光致变色晶体，并且光子的出射位置表现出多功能图案。我们模拟列车的光子的基础上，通过双探头光学近场显微镜，其中检测位置是基于一个简单的协议，导致舒伯特矩阵对应于舒伯特多项式实验观察到的光学图案。所生成的舒伯特矩阵的通用性和相关性可以通过调整光子检测灵敏度以软或硬的方式重新配置。这是首次通过物理过程或纳米光子学研究舒伯特多项式生成，为未来的纳米级智能设备和系统铺平了道路。
Generation of irregular time series based on physical processes is indispensable in computing and artificial intelligence. In this report, we propose and demonstrate the generation of Schubert polynomials, which are the foundation of versatile permutations in mathematics, via optical near-field processes introduced in a photochromic crystal of diarylethene combined with a simple photon detection protocol. Optical near-field excitation on the surface of a photochromic single crystal yields a chain of local photoisomerization, forming a complex pattern on the opposite side of the crystal. The incoming photon travels through the nanostructured photochromic crystal, and the exit position of the photon exhibits a versatile pattern. We emulated trains of photons based on the optical pattern experimentally observed through double-probe optical near-field microscopy, where the detection position was determined based on a simple protocol, leading to Schubert matrices corresponding to Schubert polynomials. The versatility and correlations of the generated Schubert matrices could be reconfigured in either a soft or hard manner by adjusting the photon detection sensitivity. This is the first study of Schubert polynomial generation via physical processes or nanophotonics, paving the way for future nano-scale intelligence devices and systems.