N-channel parity-time symmetry

OpenAlex İngilizce

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.