Realizing spin Hamiltonians in nanoscale active photonic lattices
Realizing spin Hamiltonians in nanoscale active photonic lattices
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DOI：
10.1038/s41563-020-0635-6
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发表时间：
2019-12
期刊：
影响因子：
41.2
通讯作者：
M. Parto;W. Hayenga;A. Marandi;D. Christodoulides;M. Khajavikhan
中科院分区：
文献类型：
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作者：
M. Parto;W. Hayenga;A. Marandi;D. Christodoulides;M. Khajavikhan
自旋模型出现在磁性材料的微观描述中，最近已被用于映射涉及大自由度的某些类别的优化问题。在这方面，已经证明了这种哈密尔顿算子的各种光学实现能够快速收敛到能量景观中的全局最小值。然而，到目前为止，仍然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的矢量电磁模式之间的相互作用可以用来实现某些类型的自旋哈密顿。根据阵列的拓扑结构/几何形状，这些结构可以由经典的XY哈密顿量来控制，该哈密顿量表现出铁磁和反铁磁耦合以及几何挫折。我们的研究结果为可扩展的纳米光子平台铺平了道路，以研究自旋交换相互作用，并可以解决各种优化问题。
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.