Spinor Description of Frozen and Quasi-Frozen Spin Structures for the EDM Measurement in a Frequency Domain

The main features of the frozen and quasi-frozen spin lattice were calculated in the spinor formalism, such as a spin-tune and a direction of the invariant spin axis. As the radial field perturbations play a crucial role in the electric dipole moment (EDM) measurement procedure, the difference of frozen and quasi-frozen spin lattices was investigated in this regard. The possibility of subtraction of a nonlinear term in the spin precession frequency with the change of the injection direction in the quasi-frozen case was investigated. Furthermore, the frequency summation law was derived for the structure of a general form with perturbations in the radial, vertical and longitudinal directions.