基于经典电路的关联少体连续谱束缚态研究

连续谱束缚态是指能量与辐射波连续能谱共存的局域化波动状态。近年来科学家已经在电磁波、声波和机械波等经典波动系统中对单体连续谱束缚态进行了广泛的实验验证，并证明其在超低阈值激光、超敏传感器以及滤波器等领域具有重要的应用前景。最近的理论研究表明，由玻色-哈伯德模型描述的一维双体相互作用系统也可以展现性质丰富的关联连续谱束缚态。但由于众多实验上的限制，还从没有相关的实验报道来验证这一新奇的效应。本项目拟采取一种全新的路线，通过将少体哈伯德模型的本征态映射到经典电路模式空间，来设计基于经典电路的少体连续谱束缚态模拟器。由于经典电路具备器件功能多样、连接方式灵活以及制备工艺成熟等优势，不同类型的少体连续谱束缚态都可以在电路系统中被实现。进一步，申请人将设计基于关联少体连续谱束缚态的新型电路，并论证其在超敏传感领域具有重要的应用前景。

Bound states in the continuum (BICs) are waves that remain localized even though they coexist with a continuous spectrum of radiating waves. The single-body BICs have been verified in many classical systems, such as electromagnetic, acoustic and mechanical waves, and possess important applications in the field of low-threshold lasers, sensors and filters. Recently, some theoretical studies show that the one-dimensional (two-body) system described by the boson-Hubbard model can exhibit different kinds of correlated BICs. While, the experimental observation of these novel effects is still lacking. This project intends to take a new route to design a few-body BICs simulator based on electric circuits where the eigenstates of the few-body Hubbard model are directly mapped to the circuit modes. Due to the functional diversity, flexible connection and mature fabrication technology of electric circuits, many different kinds of few-body BICs can be realized experimentally in electric circuits. Furthermore, the applicant will design a novel kind of circuit based on the few-body BICs and prove that it has an important application in the field of ultra-sensitive sensing.