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Two-photon scattering by a cavity-coupled two-level emitter in a one-dimensional waveguide
Authors:Zhongling Ji  Shaoyan Gao
Institution:1. Electrical and Computer Engineering, University of Miami, Coral Gables, FL 33146, USA;2. Department of Pathology, Miller School of Medicine, University of Miami, Miami, FL 33136, USA;3. Dr. John T. Macdonald Foundation, Biomedical Nanotechnology Institute at University of Miami, Miami, FL 33136, USA;1. State Key Laboratory of Resources and Environmental Information System, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China;2. School of Geographical Sciences, Fujian Normal University, Fuzhou 350007, China;1. Physics Department, College of Science, University of Sulaimani, Kurdistan Region, Iraq;2. Komar Research Center, Komar University of Science and Technology, Sulaimani City, Iraq;3. Science Institute, University of Iceland, Dunhaga 3, IS-107 Reykjavik, Iceland
Abstract:We show that two-photon transport can be modulated by a two-level emitter coupled to a cavity in a one-dimensional waveguide. In the ordinary case, the transmitted light has a wider frequency spectrum than the situation without the cavity because it is reflected and scattered many times. But when the two photons are resonant with the cavity resonance reflection frequency, the frequency spectrum of the transmitted light becomes narrower than that without the cavity. This means that properly tuning the cavity resonance frequency can improve the photon–photon interaction. In addition, we show that the two-photon intensity correlation functions are nearly opposite to each other at the two sides of the emitter transition frequency rather than the same, which is exactly the Fano resonance line shape for two photons. Such an effect is important for lowering the power threshold in optical bistable devices and for sensing applications. When the emitter transition frequency equals to the cavity resonance frequency for a high-Q cavity, our results agree with the recent experiments and theories.
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