Spectra, eigenstates and transport properties of a $\mathcal{P}\mathcal{T}$-symmetric ring

Adrian Ortega, Luis Benet, Hernán Larralde

We study, analytically and numerically, a simple $\mathcal{P}\mathcal{T}$-symmetric tight-binding ring with an onsite energy $a$ at the gain and loss sites. We show that if $a\ne 0$, the sy…