Measuring the condensate fraction of rapidly rotating trapped boson systems: off-diagonal order from the density

Details Measuring the condensate fraction of rapidly rotating trapped boson systems: off-diagonal order from the density Measuring the condensate fraction of rapidly rotating trapped boson systems: off-diagonal order from the density

2002-09-16

arxiv.org/abs/cond-mat/0209374v2

Phys. Rev. Lett. 90, 120401 (2003).

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures, version accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.90.120401

We demonstrate a direct connection between the density profile of a system of ultra-cold 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.

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