Entanglement and Steering of Three-Mode Field in Trio Coherent States

Abstract

This paper examines quantum correlations of a two-qubit system interacting with a tripartite mode field, focusing on entanglement and directional steering. For the initial trio coherent state and superposition atomic state, the analytical solution of the system is obtained. The tangle negativity measures the entanglement among three mode fields, while the steering function quantifies steerability between each pair of two-mode fields. The results reveal that system parameters, including the coupling strengths, excitation levels of the trio coherent state, and initial atomic state, strongly affect the development of entanglement and steering dynamics. Increasing the coupling strength between mode fields improves the entanglement for the pure states. However, the strength of steerability depends on the mode field interaction, where asymmetric steering is generated.