Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models

Understand

We study the properties of the entanglement spectrum in gapped non-interacting non-Hermitian systems, and its relation to the topological properties of the system Hamiltonian.

• Two different families of entanglement Hamiltonians can be defined in non-Hermitian systems, depending on whether we consider only right (or equivalently only left) eigenstates or a combination of both left and right eigenstates.
• We show that their entanglement spectra can still be computed efficiently, as in the Hermitian limit.
• We discuss how symmetries of the Hamiltonian map into symmetries of the entanglement spectrum depending on the choice of the many-body state.