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Lehmann-Symanzik-Zimmermann reduction approach to multiphoton scattering in coupled-resonator arrays

2008/09/30 by Tao Shi, T. Shi, C. P. Sun · 1 citation
Chemistry · Computer Science · Engineering · Mathematics · Physics and Astronomy · #Chemistry #Field (mathematics) #Mathematics #Matrix (chemical analysis) #Optoelectronics #Photon #Photonic and Optical Devices #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Reduction (mathematics) #Resonator #Scattering #Type (biology) #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physrevb.79.205111

published as Phys. Rev. B 79, 205111 (2009) · 15 pages, 14 figures

openalex publication_date 2009/05/20 · arxiv created 2010/01/28 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a quantum field theoretical approach based on the Lehmann-Symanzik-Zimmermann reduction for the multiphoton scattering process in a nanoarchitecture consisting of the coupled-resonator arrays (CRA), which are also coupled to some artificial atoms as a controlling quantum node. By making use of this approach, we find the bound states of a single photon for an elementary unit, the T-type CRA, and explicitly obtain its multiphoton scattering S matrix in various situations. We also use this method to calculate the multiphoton S matrices for the more complex quantum network constructed with main T-type CRAs, such as a H-type CRA waveguide.

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