Temporal and spatio-temporal correlation functions for trapped Bose gases
Abstract
Density correlations unambiguously reveal the quantum nature of matter. Here, we study correlations between measurements of density in cold-atom clouds at different times at one position, and also at two separated positions. We take into account the effects of finite-size and -duration measurements made by light beams passing through the atom cloud. We specialise to the case of Bose gases in harmonic traps above critical temperature, for weakly-perturbative measurements. For overlapping measurement regions, shot-noise correlations revive after a trap oscillation period. For non-overlapping regions, bosonic correlations dominate at long times, and propagate at finite speeds. Finally, we give a realistic measurement protocol for performing such experiments.
Cite
@article{arxiv.1502.05991,
title = {Temporal and spatio-temporal correlation functions for trapped Bose gases},
author = {M. Kohnen and R. A. Nyman},
journal= {arXiv preprint arXiv:1502.05991},
year = {2015}
}