Universal behavior of pair correlations in a strongly interacting Fermi gas

C. J. Vale; E. D. Kuhnle; H. Hu; M. Mark; P. D. Drummond; P. Dyke; P. Hannaford; X.-J. Liu

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Universal behavior of pair correlations in a strongly interacting Fermi gas

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arxiv 1001.3200 v2 pith:TALX2RXO submitted 2010-01-19 cond-mat.quant-gas

E. D. Kuhnle , H. Hu , X.-J. Liu , P. Dyke , M. Mark , P. D. Drummond , P. Hannaford , C. J. Vale This is my paper · ORCID

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keywords universalfactorstructurebraggcorrelationsfermiinteractingpair

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abstract

We show that short-range pair correlations in a strongly interacting Fermi gas follow a simple universal law described by Tan's relations. This is achieved through measurements of the static structure factor which displays a universal scaling proportional to the ratio of Tan's contact to the momentum $C/q$. Bragg spectroscopy of ultracold $^6$Li atoms from a periodic optical potential is used to measure the structure factor for a wide range of momenta and interaction strengths, providing broad confirmation of this universal law. We calibrate our Bragg spectra using the $f$-sum rule, which is found to improve the accuracy of the structure factor measurement.

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