  We study the significance of Photon/Phonons bunching and antibunching on the
dynamics of the quantum entanglement in the presence of coupled PT-symmetry
systems with balanced/unbalanced gain and loss. We suggest a hybrid
electromechanical system to realize a strong and tunable coupling between a
Coplanar-Waveguide (CPW) microwave cavity and a nanomechanical resonator (NAMR)
via a superconducting Transmon qubit. The hybrid electromechanical system
consists of a non-hermitian Hamiltonian with balanced/unbalanced gain and loss.
The interplay between the quantum entanglement and the -symmetry systems is
also thoroughly investigated. We frame a connection between Number operators,
Photon/Phonons antibunching, and entanglement. It has been observed that the
relative Photon/Phonons numbers play a key role in quantum entanglement
dynamics. Furthermore, we study that quantum entanglement can be characterized
by defining a Photon/Phonons antibunching. The Photon/Phonons antibunching is
strongly dependent on the initial squeezed state and the rate of
balanced/unbalanced gain and loss of the system.
