Quantum chaos analysis for characterizing a photonic resonator lattice
Autor: | J. Ziaei, F. Rahimi, P. Hosseinnezhad, M. Khodavirdizadeh, Sohrab Behnia |
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Rok vydání: | 2018 |
Předmět: |
Physics
Photon Condensed matter physics General Mathematics Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics 02 engineering and technology Level-spacing distribution 021001 nanoscience & nanotechnology 01 natural sciences Quantum chaos Magnetic field symbols.namesake Resonator Lattice (order) 0103 physical sciences symbols 010306 general physics 0210 nano-technology Random matrix Lorentz force |
Zdroj: | Chaos, Solitons & Fractals. 109:154-159 |
ISSN: | 0960-0779 |
Popis: | Tailoring the propagation of light in an arbitrarily manner has motivated a great of interest on nanophotonics. As a new mechanism for this purpose, the generation of an effective magnetic field leading to a Lorentz force for photons is recently proposed in a photonic resonator lattice. Here, we consider a photonic resonator lattice with a harmonically modulated phase and with an interface splitting the lattice into two magnetically different regions. Considering this lattice, we try to explore the impact of phase and the location of interface on the localization of Hamiltonian eigenstates by applying level spacing distribution as a cornerstone of random matrix theory. The obtained results show that while the location of interface has no effect on the appearance of localized states in weak phases, in strong phases it is found a threshold value for location of interface above which all eigenstates are delocalized. As a result, level spacing distribution and so random matrix theory is capable of characterizing the behavior of a photon in regions with different magnetic properties. |
Databáze: | OpenAIRE |
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