Spin Coherent State Path Integral for the Interaction of Two-Level System with Time Dependent Non-Uniform Magnetic Field

We study the movement of a two-level atom in
interaction with time dependent nonuniform magnetic filed using the
path integral formalism. The propagator is first written in the standard
form by replacing the spin by a unit vector aligned along the polar and
azimuthal directions. Then it is determined exactly using perturbation
methods. Thus the Rabi formula of the system are deduced.

• Rekik Rima
• Aouachria Mekki

• Path integral
• Formalism
• Propagator
• Transition probability.

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