Experimental proposal for measuring the Gouy phase of matter waves

Details Experimental proposal for measuring the Gouy phase of matter waves Experimental proposal for measuring the Gouy phase of matter waves

2010-12-17

arxiv.org/abs/1012.3910v3

New Journal of Physics 13 (2011) 125005

Physics

Quantum Physics

9 pages and 3 figures

Scientific paper

10.1088/1367-2630/13/12/125005

The Schr\"odinger equation for an atomic beam predicts that it must have a phase anomaly near the beam waist analogous to the Gouy phase of an electromagnetic beam. We propose here a feasible experiment which allows for the direct determination of this anomalous phase using Ramsey interferometry with Rydberg atoms. Possible experimental limitations are discussed and shown to be completely under control within the present day technology. We also discuss how this finding can open the possibility to use the spatial mode wavefunctions of atoms as q-dits, since the Gouy phase is an essential ingredient for making rotations in the quantum states.

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