  We show that a non-Hermitian two coupled Sachdev-Ye-Kitaev (SYK) model can
provide thermodynamic structure equivalent to Hermitian two coupled SYK model.
The energy spectrum, the entanglement degree of the ground states and the low
energy effective action of this model are not influenced by the
non-Hermiticity. The novel biorthogonal ground states demonstrates that two SYK
sites, one of which can be in the ground state and the other in the Schwarzian
excited state by tuning the non-Hermiticity. We find evidence that the free
energy is independent of the non-Hermiticity.
