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

Year 2024, Volume: 7 Issue: 2, 179 - 183, 30.11.2024

Ege Özgün

https://doi.org/10.34088/kojose.1434585

https://izlik.org/JA86YP44US

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

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