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Spatial Correlation Diagnostics for Atoms in Optical Lattices

John P. Grondalski·Paul M. Alsing·Ivan H. Deutsch
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Abstract

We explore the use of first and second order same-time atomic spatial correlation functions as a diagnostic for probing the small scale spatial structure of atomic samples trapped in optical lattices. Assuming an ensemble of equivalent atoms, properties of the local wave function at a given lattice site can be measured using same-position first-order correlations. Statistics of atomic distributions over the lattice can be measured via two-point correlations, generally requiring the averaging of multiple realizations of statistically similar but distinct realizations in order to obtain sufficient signal to noise. Whereas two-point first order correlations are fragile due to phase fluctuations from shot-to-shot in the ensemble, second order correlations are robust. We perform numerical simulations to demonstrate these diagnostic tools.

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John P. Grondalski, Paul M. Alsing, Ivan H. Deutsch. 1999-09-21. Spatial Correlation Diagnostics for Atoms in Optical Lattices. https://doi.org/10.1364/oe.5.000249

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