In this thesis, real-time transport of single-atom array using holographic tweezers is demonstrated. For this, a liquid-crystal spatial light modulator is used, a computer-generated hologram algorithm (CGHA) is devised based on Gerchberg-Saxton algorithm, and cold rubidium ($^{87}$Rb) single atoms trapped in the tweezers are simultaneously rearranged without atom losses. In-situ feedback control for defect-free single-atom array formation is also demonstrated. By adding Rydberg atom interaction to this system, thermalization dynamics of spin-1/2 lattice model is simulated as well. Establishing such reliable method to form a scalable neutral-atom platform has been an important task to be achieved for quantum information science and quantum simulation of many-body systems. The methodology presented in this thesis resolves the issue and is expected to contribute the progression in the field of neutral atoms quantum simulation and quantum information.