Stability mapping of bipartite tight-binding graphs with losses and gain: $\mathcal{P}\mathcal{T}-$symmetry and beyond

L. A. Moreno-Rodriguez, C. T. Martinez-Martinez, J. A. Mendez-Bermudez +1

We consider bipartite tight-binding graphs composed by $N$ nodes split into two sets of equal size: one set containing nodes with on-site loss, the other set having nodes with on-s…