Two-level atomic systems are studied under gravitation influence and then employed in sequential pulse towards modeling the Kasevich-Chu interferometer with matter waves.
Top9.2. Atomic Interferometer With Gravitational Field
We reestablish the route presented: consider an interferometer Atomic - three levels denoted and ( - intermediate state) subjected to a sequential pulse Raman-Rabi-Ramsey.
Total Hamiltonian will have the operational form (Lämmerzahl 1994, 1996; Lämmerzahl & Bordé 1995):
(9.1)-impulse operators, position;
- the energy of the level
for the Atomic system;
- dipole operator;
- electric field;
- dipole-external field interaction;
- Newtonian potential.
We will develop the second order Newtonian potential
(9.2)