AI 中文总结
研究通过光学反馈在偶极玻色-爱因斯坦凝聚体中实现自组织准晶体及其激发，利用相互作用产生罗顿不稳定性，得到丰富基态相图，还提出访问准晶体的方案并开发计算集体激发谱的框架。
AI 中文摘要
准晶体源于具有抑制平移周期性的非相称特征长度尺度的竞争相互作用。本文表明，通过固有偶极-偶极相互作用与通过耦合到激发态流形以及适当设计的光学反馈产生的光子介导相互作用之间的相互作用，这种多尺度相互作用可以在偶极玻色-爱因斯坦凝聚体中实现。这种相互作用在玻戈留波夫激发谱中产生两个明显的罗顿不稳定性，导致丰富的基态相图，包括具有十二重旋转对称性的十二边形准晶体。我们还提出了一种动态访问这些准晶体的方案，并开发了一个用于计算其集体激发谱的通用数值框架。
英文摘要
Quasicrystals emerge from competing interactions with incommensurate characteristic length scales that inhibit translational periodicity. Here, we show that such multiscale interactions can be realized in a dipolar Bose-Einstein condensate through the interplay between intrinsic dipole-dipole interactions and photon-mediated interactions generated by coupling to an excited-state manifold together with a suitably engineered optical feedback. This interplay gives rise to two pronounced roton instabilities in the Bogoliubov excitation spectrum, leading to a rich ground-state phase diagram including dodecagonal quasicrystals with twelvefold rotational symmetry for experimentally realistic parameters. We further propose a protocol to access these quasicrystals dynamically and develop a general numerical framework for calculating their collective excitation spectra.
Comments6 pages, 4 figures
