Non-Hermitian fractional quantum Hall states in open quantum systems

We report that open quantum systems with two-body loss host non-Hermitian fractional quantum Hall states (nHFQH) with 1/3 filling when the jump term is negligible[1]. The characterization of nHFQH states is accomplished by observing topological degeneracy and by computing the Chern number for the non-Hermitian Hamiltonian.
We also elucidate that the topology of nHFQH states is maintained even in the presence of the jump term[2].

[1] T. Yoshida, K. Kudo, and Y. Hatsugai, Scientific Reports 9, 16895 (2019).
[2] T. Yoshida, K. Kudo, H. Katsura, and Y. Hatsugai, Phys. Rev. Reserch 2, 033428 (2020).