维数之咒
物理
束缚态
可分离空间
方向性
辐射
量子力学
波函数
光子学
统计物理学
经典力学
计算机科学
数学
数学分析
人工智能
生物
遗传学
作者
Nicholas Rivera,Chia Wei Hsu,Bo Zhen,Hrvoje Buljan,John D. Joannopoulos,Marin Soljačić
摘要
Abstract A bound state in the continuum (BIC) is an unusual localized state that is embedded in a continuum of extended states. Here, we present the general condition for BICs to arise from wave equation separability. Then we show that by exploiting perturbations of certain symmetry such BICs can be turned into resonances that radiate with a tailorable directionality and dimensionality. Using this general framework, we construct new examples of separable BICs and resonances that can exist in optical potentials for ultracold atoms, photonic systems, and systems described by tight binding. Such resonances with easily reconfigurable radiation allow for applications such as the storage and release of waves at a controllable rate and direction, as well systems that switch between different dimensions of confinement.
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