Photonics Research, 2019, 7 (8): 08000862, Published Online: Jul. 17, 2019  

Exceptional points of any order in a single, lossy waveguide beam splitter by photon-number-resolved detection Download: 585次

Author Affiliations
1 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, 04510 Cd. Mx., Mexico
2 Max-Born-Institut, Max-Born-Straße 2A, 12489 Berlin, Germany
3 Humboldt-Universität zu Berlin, Institut für Physik, AG Theoretische Optik & Photonik, D-12489 Berlin, Germany
4 Tecnológico de Monterrey, Escuela de Ingeniería y Ciencias, Ave. Eugenio Garza Sada 2501, 64849 Monterrey, N.L., Mexico
5 Instituto Nacional de Astrofísica, Óptica y Electrónica, Calle Luis Enrique Erro No. 1, Sta. Ma. Tonantzintla, Pue. CP 72840, Mexico
6 Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
7 Department of Physics, Indiana University Purdue University Indianapolis (IUPUI), Indianapolis, Indiana 46202, USA
8 e-mail: yojoglek@iupui.edu
9 e-mail: roberto.leon@nucleares.unam.mx
Abstract
Exceptional points (EPs) are degeneracies of non-Hermitian operators where, in addition to the eigenvalues, the corresponding eigenmodes become degenerate. Classical and quantum photonic systems with EPs have attracted tremendous attention due to their unusual properties, topological features, and an enhanced sensitivity that depends on the order of the EP, i.e., the number of degenerate eigenmodes. Yet, experimentally engineering higher-order EPs in classical or quantum domains remain an open challenge due to the stringent symmetry constraints that are required for the coalescence of multiple eigenmodes. Here, we analytically show that the number-resolved dynamics of a single, lossy waveguide beam splitter, excited by N indistinguishable photons and post-selected to the N-photon subspace, will exhibit an EP of order N+1. By using the well-established mapping between a beam splitter Hamiltonian and the perfect state transfer model in the photon-number space, we analytically obtain the time evolution of a general N-photon state and numerically simulate the system’s evolution in the post-selected manifold. Our results pave the way toward realizing robust, arbitrary-order EPs on demand in a single device.

Mario A. Quiroz-Juárez, Armando Perez-Leija, Konrad Tschernig, Blas M. Rodríguez-Lara, Omar S. Magaña-Loaiza, Kurt Busch, Yogesh N. Joglekar, Roberto de J. León-Montiel. Exceptional points of any order in a single, lossy waveguide beam splitter by photon-number-resolved detection[J]. Photonics Research, 2019, 7(8): 08000862.

引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!