Momentum distribution and correlation function of quasicondensates in elongated traps
F. Gerbier, J. H. Thywissen, S. Richard, M. Hugbart, P. Bouyer, A., Aspect
TL;DR
This paper investigates the spatial correlation function and momentum distribution of elongated quasicondensates, revealing an almost Lorentzian momentum profile that differs from traditional condensate distributions, using a local density approximation.
Contribution
It introduces a method to calculate correlation functions and momentum distributions in elongated traps considering inhomogeneous density profiles.
Findings
Momentum distribution is nearly Lorentzian.
Contrasts with Heisenberg-limited Thomas-Fermi condensates.
Inhomogeneous density effects are significant.
Abstract
We calculate the spatial correlation function and momentum distribution of a phase-fluctuating, elongated three-dimensional condensate, in a trap and in free expansion. We take the inhomogeneous density profile into account {\it{via}} a local density approximation. We find an almost Lorentzian momentum distribution, in stark contrast with a Heisenberg-limited Thomas-Fermi condensate.
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