Abbreviated Journal Title
Phys. Rev. A
NON-HERMITIAN HAMILTONIANS; WAVE-GUIDE; AMPLIFICATION; TRANSMISSION; REFLECTION; ABSORPTION; LATTICES; REAL; SPECTRA; SYSTEMS; Optics; Physics, Atomic, Molecular & Chemical
We investigate the properties of parity-time (PT)-symmetric tight-binding models by considering both bounded and unbounded models. For the bounded case, we obtain closed form expressions for the corresponding energy spectra and we analyze the structure of eigenstates as well as their dependence on the gain or loss contrast parameter. For unbounded PT lattices, we explore their scattering properties through the development of analytical models. Based on our approach we identify a mechanism that is responsible to the emergence of localized states that are entirely due to the presence of gain and loss. The derived expressions for the transmission and reflection coefficients allow one to better understand the role of PT symmetry in energy transport problems occurring in such PT-symmetric tight-binding settings. Our analytical results are further exemplified via pertinent examples.
Physical Review A
Vázquez-Candanedo, O.; Hernández-Herrejón, J. C.; Izrailev, F. M.; and Christodoulides, D. N., "Gain- or loss-induced localization in one-dimensional PT-symmetric tight-binding models" (2014). Faculty Bibliography 2010s. 6224.