2014/02/12 by C. Yuce, C. Yüce · 89 citations
Mathematics · Physics and Astronomy · #Algorithm #Computer science #Lattice (music) #Mathematics #Nonlinear Photonic Systems #Physics #Position (finance) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Spectrum (functional analysis) #quant-ph
paper · pdf · doi:10.1016/j.physleta.2014.05.005
published in Physics Letters A 378(30-31), 2024-2028 (Elsevier BV)
arxiv created 2014/02/12 · openalex publication_date 2014/05/14 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
PT symmetric Aubry-Andre model describes an array of N coupled optical waveguides with position dependent gain and loss. We show that the reality of the spectrum depends sensitively on the degree of disorder for small number of lattice sites. We obtain the Hofstadter Butterfly spectrum and discuss the existence of the phase transition from extended to localized states. We show that rapidly changing periodical gain/loss materials almost conserves the total intensity.