  We investigate $T\Bar{T}$ deformation on non-Hermitian coupled
Sachdev-Ye-Kitaev (SYK) model and the holographic picture. The relationship
between ground state and thermofield double state is preserved under the
$T\Bar{T}$ deformation. We prove that $T\Bar{T}$ deformed theory provides a
reparameterization in large $N$ limit. These deformation effects is calculated
numerically with green functions and free energy. The thermodynamic phase
structures show the equivalence of the wormhole-black hole picture between
non-Hermitian model and Hermitian model still holds under $T\Bar{T}$
deformation. We also study the correlation function in Lorentz time and revival
dynamic.

High Energy Physics - Theory;General Relativity and Quantum Cosmology