Ground state correlations in a trapped quasi one-dimensional Bose Gas

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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19 pages LaTeX, 19 color figures, to be published in the special issue on "Degenerate Quantum Gases" in Opt. Com. (2004)

Scientific paper

10.1016/j.optcom.2004.11.043

We review the basic concepts of a non-equilibrium kinetic theory of a trapped bosonic gas. By extending the successful mean-field concept of the Gross-Pitaevskii equation with the effects of non-local, two particle quantum correlations, one obtains a renormalized binary interaction and allows for the dynamic establishment of non-classical many-particle quantum correlations. These concepts are illustrated by self-consistent numerical calculations of the first and second order ground state quantum correlations of a harmonically trapped, quasi one-dimensional bosonic gas. We do find a strong suppression of the density fluctuations or, in other words, an enhanced number squeezing with decreasing particle density.

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