Qubit optical-cavity interaction and quantum synchronization of two qubits inside an optical lattice

Atom–cavity interconnected systems offer an outstanding possibility for experiments in quantum computing and quantum information. Investigating the interaction between different light fields and atoms in a cavity is a vital study area of quantum optics. In this paper, we examine the interaction between an atom (qubit) and the cavity. The Jaynes–Cummings approach determines the probability of the cavity and qubit into bad and good regimes. Moreover, we examine the Wigner functions of the cavity depending on the coupling strength. It is possible to synchronize atoms to create exact atomic clocks, which might revolutionize several sectors, including navigation, communications, and scientific study. We show that the synchronization of two qubits inside an optical lattice can be accomplished using the driven Tavis–Cummings Hamiltonian . In this framework, we employ sixteen photons and show that the best quantum synchronization can be achieved between two qubits q 1 and q 2 in a weak regime. • We examine the interaction between an atom (qubit) and the cavity. • The Jaynes–Cummings determines the probability of the cavity and qubit into bad and good regimes. • The synchronization of two qubits inside an optical lattice can be accomplished. • The best quantum synchronization can be achieved between in a weak regime. • The synchronization of the qubits can be controlled when a strong coupling is employed.