Linear compact localized modes in flux-dressed two-dimensional plus lattice

Abstract

It was studied a photonic linear two-dimensional plus lattice dressed by the artificial flux and explored the influence of the artificial gauge field on the energy band spectrum. The Aharonov-Bohm effect has caused the appearance of flat zones and for certain values of the flux, the lattice spectrum has been described by two momentum independent, fully degenerated flatbands and three dispersive bands. Three different types of fundamental non-orthogonal compactons have been obtained. The findings presented in this study could be tested in practice and they may be used for probing different artificial flatband systems, e. g. ultracold atoms in optical lattices, polariton condensates etc.

U ovom radu proučavana je fotonska linearna dvodimenziona plus rešetka tretirana fluksom kalibracionog polja kao i uticaj veštačkog kalibracionog polja, na energetski spektar. Usled Aharonov-Bomovog efekta dolazi do pojave ravnih zona i za određene vrednosti fluksa energetski spektar rešetke može se opisati sa dve potpuno degenerisane ravne zone i tri disperzivne zone. Pronađena su tri različita tipa fundamentalnih ne-ortogonalnih kompaktona. Predstavljeni rezultati mogu se proveriti u praksi i imaju potencijal za primenu u različitim okruženjima, kao što su mreže superprovodnih žica, topološke rešetke itd.