Spin Squeezing, Entanglement, and Intelligent Coherent States in a Spin-1 System Interacting with an External Magnetic Field

In this paper, we study a spin-1 system’s coherent states in the context of the f-deformed suf(2) algebra. This algebraic framework is used to generate intelligent coherent spin states, and the accompanying uncertainty relations are studied to analyze their quantum features. Nonlinear effects related to absorption saturation and dispersion phenomena are shown by calculating the coherent states of the entire spin system up to third order approximation. The resulting asymptotic formulas show that the excitation frequency and spin state transition processes have a significant influence on the nonlinear behavior. Additionally, we demonstrate that the suggested states have squeezing characteristics typical of intelligent states and meet minimum uncertainty relations. Additionally included are the impact of relaxation effects, material-dependent factors, and higher-order corrections on the nonlinear dynamics. These findings could lead to new advances in quantum information processing, nonlinear quantum systems, and quantum optics.