Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains

The interacting phase diagram of a non-Hermitian one-dimensional model featuring topologically different phases is demonstrated. Furthermore, the exact solution in integrable regime, which has been extended to nonintegrable regime by employing diagonalization and matrix product state methods, presented. present results are expected pave new pathway toward characterizing topology realistic quantum many-body systems.