We develop an open-system dynamical theory of the Casimir interaction between coherent atomic waves and a material surface. The system, the external atomic waves, disturbs the environment, the electromagnetic field and the atomic dipole degrees of freedom, in a nonlocal manner by leaving footprints on distinct paths of the atom interferometer. This induces a nonlocal dynamical phase depending simultaneously on two distinct paths, beyond usual atom-optics methods and comparable to the local dynamical phase corrections. Nonlocal and local atomic phase coherences are thus equally important to capture the interplay between the external atomic motion and the Casimir interaction. Such dynamical phases are obtained for finite-width wave packets by developing a diagrammatic expansion of the disturbed environment quantum state.
|Original language||English (US)|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|State||Published - Feb 26 2014|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics