Spin Hamiltonian Investigations on Atomic Spin Gyroscope Using EasySpin Toolbox

Atomic Spin Gyroscope (ASG) technology has a strategic importance in robotics, spacecrafts and unmanned aerial vehicles. Therefore, understanding of spin hamiltonian of interactions which occur in quantum scale plays a critical role. In this study, we investigated the spin hamiltonian terms for ASG which are include electron Zeeman, nuclear Zeeman, Hyperfine and Nuclear Quadrupole interactions. The spin hamiltonians, eigenvalues and energy level diagrams were calculated by using EasySpin MATLAB toolbox for the basic Nuclear Magnetic Resonance Gyroscope vapor cell as an ASG. The results show that the EasySpin toolbox can be considerable for studying the spin hamiltonian terms of Nuclear Magnetic Resonance Gyroscopes and it can offer quick solutions in design processes of the gyroscopes as an IMU.