Parto Midya, Hayenga William, Marandi Alireza, Christodoulides Demetrios N, Khajavikhan Mercedeh
CREOL, The College of Optics and Photonics, University of Central Florida, Orlando, FL, USA.
Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA.
Nat Mater. 2020 Jul;19(7):725-731. doi: 10.1038/s41563-020-0635-6. Epub 2020 Mar 16.
Spin models arise in the microscopic description of magnetic materials and have been recently used to map certain classes of optimization problems involving large degrees of freedom. In this regard, various optical implementations of such Hamiltonians have been demonstrated to quickly converge to the global minimum in the energy landscape. Yet, so far, an integrated nanophotonic platform capable of emulating complex magnetic materials is still missing. Here, we show that the cooperative interplay among vectorial electromagnetic modes in coupled metallic nanolasers can be utilized to implement certain types of spin Hamiltonians. Depending on the topology/geometry of the arrays, these structures can be governed by a classical XY Hamiltonian that exhibits ferromagnetic and antiferromagnetic couplings, as well as geometrical frustration. Our results pave the way towards a scalable nanophotonic platform to study spin exchange interactions and could address a variety of optimization problems.
自旋模型出现在磁性材料的微观描述中，并且最近已被用于映射某些涉及大自由度的优化问题。在这方面，已证明此类哈密顿量的各种光学实现方式能够在能量景观中快速收敛到全局最小值。然而，到目前为止，仍缺少一个能够模拟复杂磁性材料的集成纳米光子平台。在这里，我们表明耦合金属纳米激光器中矢量电磁模式之间的协同相互作用可用于实现某些类型的自旋哈密顿量。根据阵列的拓扑结构/几何形状，这些结构可以由具有铁磁和反铁磁耦合以及几何阻挫的经典XY哈密顿量来支配。我们的结果为研究自旋交换相互作用的可扩展纳米光子平台铺平了道路，并可解决各种优化问题。
