2021/06/20 by Joseph Kraisler, Kraisler, Joseph, John C. Schotland +1 · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2106.10739
openalex publication_date 2021/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.