Acute entanglement and Photon/Phonons statistics in a balanced/unbalanced PT-symmetry systems

TL;DR

This paper investigates how photon and phonon statistics influence quantum entanglement in PT-symmetry systems with balanced or unbalanced gain and loss, using a hybrid electromechanical setup involving microwave cavities and nanomechanical resonators.

Contribution

It introduces a hybrid electromechanical system with non-Hermitian Hamiltonian to explore the relationship between photon/phonon antibunching and entanglement under PT-symmetry conditions.

Findings

Photon/phonon antibunching depends on initial squeezed states.

Quantum entanglement correlates with photon/phonon number operators.

System's gain/loss rate significantly affects antibunching and entanglement.

Abstract

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.