From Hermitian critical to non-Hermitian point-gapped phases

Recent years have seen a growing interest in topological phases beyond the standard paradigm of gapped isolated systems. One recent direction is to explore features non-Hermitian systems that are commonly used as effective descriptions open Another explores fate topology at critical points, where bulk gap collapses. interesting observation both systems, though very different, share certain features. For instance, can host half-integer quantized winding numbers and similar entanglement spectra. Here we make this similarity explicit by showing equivalence invariants with point-gap phases, presence sublattice symmetry. Also, corresponding spectra show same This correspondence may carry over other even be helpful deepen our understanding using knowledge vice versa.