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Tunneling in Double-Layer Optical Waveguides as Quantum Walks on Graphs
Proceedings of the Steklov Institute of Mathematics ( IF 0.5 ) Pub Date : 2021-07-20 , DOI: 10.1134/s0081543821020140
A. A. Melnikov 1 , L. E. Fedichkin 1 , A. P. Alodjants 2
Affiliation  

Abstract

Modern integrated photonic quantum technologies are based on optical waveguides. The propagation of light in optical waveguides allows one to implement quantum computation and bosonic quantum simulation. Nevertheless, to further develop photonic quantum devices, one needs a precise mathematical description of quantum dynamics in waveguides. In this paper, we consider a double-layer array of optical waveguides and find exact analytical expressions for the Hamiltonian of the system and its parameters. The results are obtained both in the ideal waveguide approximation and in the case of photon loss in the waveguides.



中文翻译:

当量子在图上行走时,双层光波导中的隧道效应

摘要

现代集成光子量子技术基于光波导。光在光波导中的传播可以实现量子计算和玻色子量子模拟。然而,为了进一步开发光子量子器件,需要对波导中的量子动力学进行精确的数学描述。在本文中,我们考虑了一个双层光波导阵列,并找到了系统哈密顿量及其参数的精确解析表达式。结果是在理想波导近似和波导中光子损耗的情况下获得的。

更新日期:2021-07-22
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