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One- and Two-Photon Localization in Quantum Optics

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arxiv 2106.10739 v2 pith:EV2RBJDQ submitted 2021-06-20 quant-ph math-phmath.APmath.MP

Joseph Kraisler , John C. Schotland This is my paper · ORCID
classification quant-phmath-phmath.APmath.MP
keywords localizationenergyphotonstherebandcenteredone-resonant
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We consider the lattice analog of a recently proposed continuum model for the propagation of one- and two-photon states in a random medium. We find that there is localization of single photons in an energy band centered at the resonant energy of the atoms. Moreover, there is also localization of photons at arbitrarily large energies. For the case of two photons, there is localization in an energy band centered at twice the resonant frequency.

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