Noise Correlations in one-dimensional systems of ultra-cold fermions

Details Noise Correlations in one-dimensional systems of ultra-cold fermions Noise Correlations in one-dimensional systems of ultra-cold fermions

2005-07-05

arxiv.org/abs/cond-mat/0507108v3

Phys. Rev. Lett. 100, 240401 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures. Added discussion on the visibility of noise correlation features for realistic conditions

Scientific paper

Time of flight images reflect the momentum distribution of the atoms in the trap, but the spatial noise in the image holds information on more subtle correlations. Using Bosonization, we study such noise correlations in generic one dimensional systems of ultra cold fermions. Specifically, we show how pairing as well as spin and charge density wave correlations may be identified and extracted from the time of flight images. These incipient orders manifest themselves as power law singularities in the noise correlations, that depend on the Luttinger parameters, which suggests a general experimental technique to obtain them.

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