Gravitational Influence on Atomic Interference

Gravitational Influence on Atomic Interference

Copyright: © 2014 |Pages: 13
DOI: 10.4018/978-1-4666-4687-2.ch009

Abstract

Two-level atomic systems are studied under gravitation influence and then employed in sequential pulse towards modeling the Kasevich-Chu interferometer with matter waves.
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9.2. Atomic Interferometer With Gravitational Field

We reestablish the route presented: consider an interferometer Atomic - three levels denoted 978-1-4666-4687-2.ch009.m03and (978-1-4666-4687-2.ch009.m04 - intermediate state) subjected to a sequential pulse Raman-Rabi-Ramsey.

Total Hamiltonian will have the operational form (Lämmerzahl 1994, 1996; Lämmerzahl & Bordé 1995):

978-1-4666-4687-2.ch009.m05
(9.1)978-1-4666-4687-2.ch009.m06-impulse operators, position; 978-1-4666-4687-2.ch009.m07 - the energy of the level 978-1-4666-4687-2.ch009.m08 for the Atomic system; 978-1-4666-4687-2.ch009.m09 - dipole operator; 978-1-4666-4687-2.ch009.m10- electric field; 978-1-4666-4687-2.ch009.m11 - dipole-external field interaction; 978-1-4666-4687-2.ch009.m12 - Newtonian potential.

We will develop the second order Newtonian potential

978-1-4666-4687-2.ch009.m13
(9.2)

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