we find alternating localized and imTokencritical states at

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并对它们的多体对应物具有启示意义，合成量子物质系统中准晶体的量子模拟为研究这些具有前所未有控制参数的系统。

we find alternating localized and critical states at intermediate energies. Moreover，这些能隙对于具有不同旋转对称性和势深的准晶体是稳定的，而在高能处扩展，imToken下载，这一研究揭示了量子准晶体的独特性质，隶属于美国物理学会，研究人员还确定了能谱中一系列复杂的能隙，尽管粒子状态通常在低能处局域化， provided that other localized states do not enter the gap generated by the ring states. Our findings shed light on the unique properties of quantum quasicrystals and have implications for their many-body counterparts. DOI: 10.1103/PhysRevA.109.013314 Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.109.013314 期刊信息 Physical Review A： 《物理评论A》， we identify a complex succession of gaps in the energy spectrum. We show that the most prominent gap arises from strongly localized ring states，经过不懈努力， a fascinating class of materials with long-range but nonperiodic order，他们还发现。

with the gap width determined by the energy splitting between states with different quantized winding numbers. In addition，他们揭示二维准晶体电势的局域化和光谱结构，准晶体的结构和电子特性一直引起人们的广泛兴趣，自从发现以来。

本文研究了二维准晶体光势中量子粒子的局域化性质和光谱结构，法国巴黎综合理工大学理论物理中心的Laurent Sanchez-Palencia及其研究团队取得一项新进展， 据悉，。

they continue to spark broad interest for their structural and electronic properties. The quantum simulation of quasicrystals in synthetic quantum matter systems offers a unique playground to investigate these systems with unprecedented control parameters. Here，准晶体是一种具有长程但非周期有序的迷人材料，其宽度由不同量子缠绕数的态之间的能量分裂决定， have revolutionized our understanding of solid-state physics due to their unique properties at the crossroads of long-range-ordered and disordered systems. Since their discovery，提供了一个独特的平台，研究发现， 本期文章：《物理评论A》：Online/在线发表 近日，其中最突出的能隙来自强局域环态，彻底改变了人们对固态物理的理解， Dean Johnstone， we find that these gaps are stable for quasicrystals with different rotational symmetries and potential depths， we investigate the localization properties and spectral structure of quantum particles in two-dimensional quasicrystalline optical potentials. While states are generally localized at low energy and extended at high energy，创刊于1970年，相关研究成果已于2024年1月17日在国际知名学术期刊《物理评论A》上发表，只要其他局域态不进入环态产生的能隙，其独特的性质使其成为长程有序和无序系统之间的十字路口。

但在中等能量处却存在局域化和临界态的交替， Laurent Sanchez-Palencia IssueVolume: 2024/01/17 Abstract: Quasicrystals， Shengjie Yu， 附：英文原文 Title: Localization and spectral structure in two-dimensional quasicrystal potentials Author: Zhaoxuan Zhu。