Volume 144, Number 3, November 2023
|Number of page(s)
|01 December 2023
N-channel parity-time symmetry
Department of Physics Engineering, Hacettepe University - Beytepe, 06800 Ankara, Turkey
* E-mail: firstname.lastname@example.org (corresponding author)
Received: 18 September 2023
Accepted: 9 November 2023
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 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.
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