Stuttgart 2012 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 34: Poster 1
Q 34.67: Poster
Dienstag, 13. März 2012, 16:30–19:00, Poster.I+II
Representation-free description of matter wave interferometry — •Stephan Kleinert1, Wolfgang Zeller1, Vincenzo Tamma1, Albert Roura1, Endre Kajari2, Daniel M. Greenberger3, Ernst M. Rasel4, and Wolfgang P. Schleich1 — 1Institut für Quantenphysik, Universität Ulm, D-89081 Ulm, Germany — 2Theoretische Physik, Universität des Saarlandes, D-66041 Saarbrücken, Germany — 3City College of New York, NY 10031, USA — 4Institut für Quantenoptik, Leibniz Universität Hannover, D-30167 Hannover, Germany
The recent controversy about the measurement of the gravitational redshift by means of atom interferometry [1] has gained a lot of attention.
In this context, the interpretation of the individual contributions to the phase-shift is based on the Feynman path integral approach [2], which is naturally connected to the position representation. However, the separation into different contributions seems to be ill-founded because the interpretation changes when the phase-shift is evaluated in momentum representation [3].
For this reason, we pursue a representation-free description of matter wave interferometry that is solely based on operator algebra methods. We present a straightforward method to determine the phase-shift for arbitrary interferometer geometries taking into account the local gravitational acceleration, the gravity gradient and a rotation of the device.
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W. P. Schleich, D. M. Greenberger, E. M. Rasel, in preparation.