Theoretical tools for atom laser beam propagation
arXiv:0802.4039 · doi:10.1103/PhysRevA.77.033630
Abstract
We present a theoretical model for the propagation of non self-interacting atom laser beams. We start from a general propagation integral equation, and we use the same approximations as in photon optics to derive tools to calculate the atom laser beam propagation. We discuss the approximations that allow to reduce the general equation whether to a Fresnel-Kirchhoff integral calculated by using the stationary phase method, or to the eikonal. Within the paraxial approximation, we also introduce the ABCD matrices formalism and the beam quality factor. As an example, we apply these tools to analyse the recent experiment by Riou et al. [Phys. Rev. Lett. 96, 070404 (2006)].
References in corpus (6)
- Guided Quasicontinuous Atom Laser
- Observing the Formation of Long-range Order during Bose-Einstein Condensation
- Observing the Profile of an Atom Laser Beam
- Matter-wave cavity gravimeter
- Quantum theory of an atom laser originating from a Bose-Einstein condensate or a Fermi gas in the presence of gravity
- Quality factor of a matter-wave beam
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- Atom Interferometric Imaging of Differential Potentials Using an Atom Laser
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