Non-linear sigma models for non-Hermitian random matrices in symmetry
classes AI$^{\dagger}$ and AII$^{\dagger}$
Non-linear sigma models for non-Hermitian random matrices in symmetry
classes AI$^{\dagger}$ and AII$^{\dagger}$
Symmetry of non-Hermitian matrices underpins many physical phenomena. In particular, chaotic open quantum systems exhibit universal bulk spectral correlations classified on the basis of time-reversal symmetry$^{\dagger}$ (TRS$^{\dagger}$), coinciding with those of non-Hermitian random matrices in the same symmetry class. Here, we analytically study the spectral correlations of non-Hermitian random matrices …