Entanglement dynamics in the atom-cavity system with atom quasi-random walk behavior

Recently, it was demonstrated that an atom exhibits quasi-random walk behavior in an atom-cavity system when two longitudinal and transverse laser pumps are simultaneously excited by the system. The longitudinal pump irradiates the cavity, whereas the transverse pump irradiates an atom, directly. The model presented in this study contains a two-level atom in an electrodynamic cavity stimulated by two longitudinal and transverse laser pumps. The longitudinal laser frequency was tuned to excite the electrical (internal) state of an atom. We investigated the entanglement dynamics between the cavity field and internal atomic modes, and the von Neumann entropy measure was used to this end. The atomic quasi-random walk behavior and cavity dissipation were considered in this study. This study was conducted for different atomic states, two regimes of the strong, and the weak coupling. Our numerical results show that atomic random-walk motion can help us to enhance the amount of entanglement between the internal atomic modes and cavity fields for a long time.