Rabi oscillations in gravitational fields: Exact solution via path integral

Abstract

The movement of a two-level atom interacting with an electromagnetic wave and subject to gravitation is studied using the path-integral formalism. The propagator is first of all written in the standard form $\int {\cal D} (path) \exp (i / {\hbar})S(path)$ by replacing the spin by two fermionic oscillators; then it is determined exactly due to the auxiliary equation which has a cylindric parabolic function as a solution.