Free expansion of lowest Landau level states of trapped atoms: a wavefunction microscope

Details Free expansion of lowest Landau level states of trapped atoms: a wavefunction microscope Free expansion of lowest Landau level states of trapped atoms: a wavefunction microscope

2003-06-13

arxiv.org/abs/cond-mat/0306378v2

Phys. Rev. A 68, 035601 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, no figures. v2: discussion of neglect of interactions during expansion improved, refs added

Scientific paper

10.1103/PhysRevA.68.035601

We show that for any lowest-Landau-level state of a trapped, rotating, interacting Bose gas, the particle distribution in coordinate space in a free expansion (time of flight) experiment is related to that in the trap at the time it is turned off by a simple rescaling and rotation. When the lowest-Landau-level approximation is valid, interactions can be neglected during the expansion, even when they play an essential role in the ground state when the trap is present. The correlations in the density in a single snapshot can be used to obtain information about the fluid, such as whether a transition to a quantum Hall state has occurred.

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