ObjectiveThe theoretical and experimental studies on the polarizability and tune-out wavelength of Cesium atoms primarily concentrate on the 6S ground state and the 6P excited state. In recent years, experimental work involving highly excited atoms has progressed rapidly, particularly the quantum control based on Rydberg states. Rydberg atoms have emerged as a research focus in quantum computing, quantum information, precision measurement, and other fields owing to their unique transition and polarization properties, as well as the long-range interactions between atoms. The transition frequencies of Rydberg atoms encompass microwave and terahertz waves, demonstrating excellent coherence. Consequently, related spectroscopic techniques have been extensively utilized for high-precision measurements in the microwave and terahertz frequency bands.MethodsPolarizability is a physical quantity that quantifies the extent to which an electron cloud deviates from its normal distribution under the influence of an external field. When a laser of a specific frequency interacts with an atom, the dynamic polarizability of the atom momentarily becomes zero, effectively nullifying the interaction between the atom and the external field. The corresponding laser wavelength at this instant is referred to as the tune-out wavelength. At this wavelength, the atomic interactions can be precisely regulated, enabling the controlled activation and deactivation of interactions between multi-component atoms. Based on the theory of polarizability, the tune-out wavelengths for the 14S_1/2 and 23S_1/2 states of cesium atoms have been calculated within the terahertz frequency band.Results and DiscussionsBy theoretically calculating the tune-out wavelengths of the ground state of cesium atoms and comparing these results with existing experimental data, we validate the calculation accuracy. Subsequently, we compute the atomic polarizability of the 14S_1/2 and 23S_1/2 states within the terahertz transition band of Rydberg atoms, providing frequency points corresponding to five tune-out wavelengths for each of the 14S_1/2 and 23S_1/2 states, respectively. Furthermore, we analyze the impact of different energy level models on the tune-out wavelengths. It is found that atomic polarizability is more affected by external fields between energy levels with lower transition energies. For different energy levels model, the relative error of tune-out wavelength near the same resonant transition is about 0.001%, accuracy is about 10 MHz.ConclusionsHigh-precision tune-out wavelength calculations and measurements have been widely utilized in various applications, including the determination of transition matrix elements and atomic structure parameters. Furthermore, they can be applied to quantum precision measurements in the terahertz band. This work holds significant importance for the advancement of fundamental parameter measurements of Rydberg atoms within the terahertz frequency band, as well as for the development of sensing spectroscopy technology for electromagnetic field measurements.