Quantum localized states in photonic flat-band lattices

  title={Quantum localized states in photonic flat-band lattices},
  author={Santiago Rojas-Rojas and Luis Morales-Inostroza and Rodrigo A. Vicencio and Aldo Delgado},
  journal={Physical Review A},
The localization of light in flat-band lattices has been recently proposed and experimentally demonstrated in several configurations, assuming a classical description of light. Here, we study the problem of light localization in the quantum regime. We focus on quasi one-dimensional and two-dimensional lattices which exhibit a perfect flat-band inside their linear spectrum. Localized quantum states are constructed as eigenstates of the interaction Hamiltonian with a vanishing eigenvalue and a… 

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