Correlated two-photon scattering in a one-dimensional waveguide coupled to two- or three-level giant atoms

• URL: http://arxiv.org/abs/2306.13836v2
• Date: Wed, 29 Nov 2023 02:19:30 GMT
• Title: Correlated two-photon scattering in a one-dimensional waveguide coupled to two- or three-level giant atoms
• Authors: Wenju Gu, He Huang, Zhen Yi, Lei Chen, Lihui Sun, Huatang Tan
• Abstract summary: We study the two-photon scattering processes in a one-dimensional waveguide coupled to a two- or three-level giant atom, respectively. The accumulated phase shift between the two coupling points can be utilized to alter the scattering processes.
• Score: 9.13702457563426
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the two-photon scattering processes in a one-dimensional waveguide coupled to a two- or three-level giant atom, respectively. The accumulated phase shift between the two coupling points can be utilized to alter the scattering processes. We obtain the exact interacting two-photon scattering wavefunction of these two systems following the Lippmann-Schwinger formalism, from which the analytical expressions of incoherent power spectra and second-order correlations are also derived. The incoherent spectrum, defined by the correlation of the bound state, serves as a useful indication of photon-photon correlation. The second-order correlation function gives a direct measure of photon-photon correlation. For photons scattered by the two-level giant atom, the accumulated phase shift can be used to improve photon-photon correlation,and adjust the evolution of the second-order correlation. In the system of the three-level giant atom, the photon-photon correlation can be substantially increased. Moreover, the photon-photon interactions and correlation distance of scattered photons can be further enhanced by tuning the accumulated phase shift.

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