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Scalable and Programmable Emulation of Photonic Hyperbolic Lattices
ACS Photonics ( IF 6.5 ) Pub Date : 2024-08-22 , DOI: 10.1021/acsphotonics.4c01184 Hyungchul Park 1 , Xianji Piao 2 , Sunkyu Yu 1
ACS Photonics ( IF 6.5 ) Pub Date : 2024-08-22 , DOI: 10.1021/acsphotonics.4c01184 Hyungchul Park 1 , Xianji Piao 2 , Sunkyu Yu 1
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Non-Euclidean geometry, which violates the traditional parallel postulate, encompasses a wide class of physical systems, including fullerenes, space-time structures, and complex networks. A notable example is the hyperbolic lattice, which exhibits unique band properties and topological phenomena compared with those of Euclidean lattices. Although hyperbolic lattices have been effectively realized on a Euclidean plane using projections onto the Poincaré disk, the poor scalability of this approach hinders large-size implementations essential for examining lattice physics. Here, we demonstrate a scalable and reconfigurable emulation of wave dynamics in a hyperbolic lattice by employing programmable photonics. We develop a one-dimensional coupled-resonator lattice with reconfigurable gauge fields and resonances, which emulates unitary wave evolutions inside a hyperbolic lattice. The programmability of our system allows for modeling time-varying hyperbolic lattices including dynamic defects. The superior scalability of our system compared to the realizations using the Poincaré disk and spatial-domain circuits paves the way to extending non-Euclidean photonics into large-scale and dynamical systems.
中文翻译：
光子双曲晶格的可扩展和可编程仿真
非欧几里得几何违反了传统的平行假设，涵盖了广泛的物理系统，包括富勒烯、时空结构和复杂网络。一个值得注意的例子是双曲晶格，与欧几里得晶格相比，它表现出独特的能带特性和拓扑现象。尽管双曲晶格已经通过庞加莱圆盘上的投影在欧几里得平面上有效地实现，但这种方法的可扩展性较差，阻碍了检查晶格物理所必需的大尺寸实现。在这里，我们通过采用可编程光子学展示了双曲晶格中波动力学的可扩展和可重新配置的仿真。我们开发了一种具有可重构规范场和谐振的一维耦合谐振器晶格，它模拟了双曲晶格内的酉波演化。我们系统的可编程性允许对包括动态缺陷在内的时变双曲晶格进行建模。与使用庞加莱盘和空间域电路的实现相比，我们的系统具有卓越的可扩展性，为将非欧几里得光子学扩展到大规模动态系统铺平了道路。
更新日期：2024-08-22
中文翻译：
光子双曲晶格的可扩展和可编程仿真
非欧几里得几何违反了传统的平行假设，涵盖了广泛的物理系统，包括富勒烯、时空结构和复杂网络。一个值得注意的例子是双曲晶格，与欧几里得晶格相比，它表现出独特的能带特性和拓扑现象。尽管双曲晶格已经通过庞加莱圆盘上的投影在欧几里得平面上有效地实现，但这种方法的可扩展性较差，阻碍了检查晶格物理所必需的大尺寸实现。在这里，我们通过采用可编程光子学展示了双曲晶格中波动力学的可扩展和可重新配置的仿真。我们开发了一种具有可重构规范场和谐振的一维耦合谐振器晶格，它模拟了双曲晶格内的酉波演化。我们系统的可编程性允许对包括动态缺陷在内的时变双曲晶格进行建模。与使用庞加莱盘和空间域电路的实现相比，我们的系统具有卓越的可扩展性，为将非欧几里得光子学扩展到大规模动态系统铺平了道路。
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