N-channel parity-time symmetry

Creative Commons License

ÖZGÜN E.

EPL, vol.144, no.3, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 144 Issue: 3
  • Publication Date: 2023
  • Doi Number: 10.1209/0295-5075/ad0b55
  • Journal Name: EPL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, Linguistic Bibliography, Metadex, zbMATH, Civil Engineering Abstracts
  • Open Archive Collection: AVESIS Open Access Collection
  • Hacettepe University Affiliated: Yes

Abstract

We calculated the eigenvalues for a general N-channel coupled system with parity-time symmetry due to equal loss/gain. We found that the eigenspectrum displays a mixing of parity-time symmetric and broken phases, with N−2 of the eigenvalues being parity-time broken whereas the remaining two are either parity-time symmetric or broken depending on the loss/gain and coupling parameters. Our results also show that mixing of parity-time symmetric and parity-time broken phases can only be obtained for at least four channels if other degrees of freedom such as polarization or spin are not taken into account.