title: Measuring the condensate fraction of rapidly rotating trapped boson systems: off-diagonal order from the density profile.
abstract: We demonstrate a direct connection between the density profile of a system of ultracold trapped bosonic particles in the rapid-rotation limit and its condensate fraction. This connection can be used to probe the crossover from condensed vortex-lattice states to uncondensed quantum-fluid states that occurs in rapidly rotating boson systems as the particle density decreases or the rotation frequency increases. We illustrate our proposal with a series of examples, including ones based on models of realistic finite trap systems, and comment on its application to freely expanding boson density profile measurements.
authors.affiliation: Department of Physics, University of Texas at Austin, Austin, Texas 78712-1081, USA.
authors.forename: Jairo
authors.initials: J
authors.lastname: Sinova
authors.forename: C B
authors.initials: CB
authors.lastname: Hanna
authors.forename: A H
authors.initials: AH
authors.lastname: MacDonald