Double-Slit Interferometry with a Bose-Einstein Condensate
L.A. Collins, L. Pezze', A. Smerzi, G.P. Berman, A.R. Bishop

TL;DR
This paper analyzes a Bose-Einstein condensate double-slit interferometer by numerically solving the Gross-Pitaevskii equation, focusing on adiabaticity, collective excitations, and quantum fluctuations affecting interferometric coherence.
Contribution
It provides a detailed numerical analysis of the interferometric process, highlighting the impact of adiabaticity and collective excitations on coherence in BEC interferometry.
Findings
Adiabaticity time scales influence interference quality.
Spurious collective excitations cause dephasing.
Quantum fluctuations are discussed as a source of decoherence.
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.
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