通过非线性诱导的额外维度构建连续介质束缚态
Engineering bound states in continuum via nonlinearity induced extra dimension
AI总结：
本研究提出利用Kerr非线性及由此带来的系统维度扩展来构建连续介质束缚态（BICs）的方案，给出单模、双模非简谐系统的相关解，并验证了BIC近邻区域稳态响应对频率微扰的高敏感性带来的传感应用潜力。
摘要：
连续介质束缚态（BICs）是一类具有极长寿命的系统局域态，在科学的多个分支中都有应用。在本研究中，我们提出了一种构建BICs的简便方案，该方案涉及在系统中利用Kerr非线性（克尔非线性）。BICs的产生是非线性效应以及随之而来的系统维度扩展的直接结果。具体而言，我们研究了单模和双模非简谐系统，并给出了一系列适用于构建BICs的解。在BIC的近邻区域，系统的稳态响应对系统固有频率的微扰极为敏感，我们在光学和磁学非线性的可实验实现装置场景中，阐明了其良好的传感应用潜力。
英文摘要：
Bound states in continuum (BICs) are localized states of a system possessing significantly large life times with applications across various branches of science. In this work, we propose an expedient protocol to engineer BICs which involves the use of Kerr nonlinearities in the system. The generation of BICs is a direct artifact of the nonlinearity and the associated expansion in the dimensionality of the system. In particular, we consider single and two mode anharmonic systems and provide a number of solutions apposite for the creation of BICs. In close vicinity to the BIC, the steady state response of the system is immensely sensitive to perturbations in natural frequencies of the system and we illustrate its propitious sensing potential in the context of experimentally realizable setups for both optical and magnetic nonlinearities.
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