Path Integral Treatment for the Rabi Oscillations

Mekki Aouachria, L. Chétouani

P.Y. Cai, Akira Inomata, Raj Wilson

Yana Vladimirovna Degtyareva, Alexander Alexandrovich Biryukov, Марк Александрович Шлеенков

The probability of quantum transitions of a molecule between its states under the action of an electromagnetic field is represented as an integral over trajectories from a real alternating functional. A method is proposed for computing the integral using recurrence relations. The method is attached to describe the two-photon Rabi oscillations.

Vyacheslav Shatokhin, S. Ya. Kilin

Mekki Aouachria

In this paper we consider a spin 1/2 particle interacting with a damped rotating magnetic field using path integral formalism. The propagator is first of all written in the standard form by replacing the spin by two fermionic oscillators via the Schwinger's model; then it is determined exactly thanks to the introduction of a particular rotations in coherent state space which has eliminated the rotation angle of the magnetic field and has simplified the Hamiltonian of the considered system. Thus, the Rabi formula are deduced.