Double-Slit Interferometry with a Bose-Einstein Condensate

Abstract

A Bose-Einstein "double-slit" interferometer has been recently realized experimentally by (Y. Shin et. al., Phys. Rev. Lett. 92 50405 (2004)). We analyze the interferometric steps by solving numerically the time-dependent Gross-Pitaevski equation in three-dimensional space. We focus on the adiabaticity time scales of the problem and on the creation of spurious collective excitations as a possible source of the strong dephasing observed experimentally. The role of quantum fluctuations is discussed.

4 pages, 3 figures

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• Atomic population distribution in the output ports of cold-atom interferometers with optical splitting and recombination
• Generalized wave-packet model for studying coherence of matter-wave interferometers
• Dynamics of Macroscopic Wave Packet Passing through Double Slits: Role of Gravity and Nonlinearity