Controlling single-photon transport in waveguides with finite cross section

Jin-Feng Huang (黄金凤), Tao Shi (石弢), C. P. Sun (孙昌璞), and Franco Nori (野理)
Phys. Rev. A 88, 013836 – Published 23 July 2013

Abstract

We study the transverse-size effect of a quasi-one-dimensional rectangular waveguide on the single-photon scattering on a two-level system. We calculate the transmission and reflection coefficients for single incident photons using the scattering formalism based on the Lippmann-Schwinger equation. When the transverse size of the waveguide is larger than a critical size, we find that the transverse mode will be involved in the single-photon scattering. Including the coupling to a higher traverse mode, we find that the photon in the lowest channel will be lost into the other channel, corresponding to the other transverse modes, when the input energy is larger than the maximum bound-state energy. Three kinds of resonance phenomena are predicted: single-photon resonance, photonic Feshbach resonance, and cutoff (minimum) frequency resonance. At these resonances, the input photon is completely reflected.

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  • Received 18 March 2013

DOI:https://doi.org/10.1103/PhysRevA.88.013836

©2013 American Physical Society

Authors & Affiliations

Jin-Feng Huang (黄金凤)1,2, Tao Shi (石弢)3, C. P. Sun (孙昌璞)1,4, and Franco Nori (野理)1,5

  • 1Advanced Science Institute, RIKEN, Wako-shi, Saitama 351-0198, Japan
  • 2State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, and University of the Chinese Academy of Sciences, Beijing 100190, China
  • 3Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, Garching, Germany
  • 4Beijing Computational Science Research Center, Beijing 100084, China
  • 5Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA

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Issue

Vol. 88, Iss. 1 — July 2013

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