Non-Hermitian Dynamics without all-to-all Coupling in Odd-Channel Systems

Authors : Ege Özgün

Pages : 179-183

Doi:10.34088/kojose.1434585

View : 7 | Download : 8

Publication Date : 2024-11-30

Article Type : Research Paper

Abstract :Here we analytically derive the eigenspectra of non-Hermitian systems with an odd number of channels in a scheme that eliminates the requirement of all-to-all coupling of the channels. The calculated spectrum displays coexisting parity-time broken and parity-time symmetric modes for any choice of coupling and gain/loss values except for the case of N=3 where a certain range of coupling and gain/loss parameters are required for the coexistence of parity-time broken and parity-time symmetric modes.
Keywords : Discrete Symmetries, Mode Coupling, Non Hermitian Physics, Parity Time Symmetry