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- Static structure factor of a strongly correlated Fermi gas at large momenta
- Hu, H.; Liu, X.-J.; Drummond, P. D.
- We theoretically investigate the static structure factor of an interacting Fermi gas near the BEC-BCS crossover at large momenta. Due to short-range two-body interactions, we show that the structure factor of unlike spin correlations S↑↓(q) falls off as 1/q in a universal scaling region with large momentum ℏq and large scattering length. The scaling coefficient is determined by the celebrated Tan's contact parameter, which links the short-range behavior of many-body systems to their universal thermodynamic properties. By implementing this structure-factor Tan relation together with the random-phase approximation and the virial expansion theory in various limiting cases, we show how to calculate S↑↓(q) at zero and finite temperatures for arbitrary interaction strengths, at momentum transfer higher than the Fermi momentum. Our results provide a way to experimentally confirm one of the Tan relations and to accurately measure the value of contact parameter.
- Publication type
- Journal article
- Research centre
- Swinburne University of Technology. Faculty of Engineering and Industrial Sciences. Centre for Atom Optics and Ultrafast Spectroscopy
- Europhysics Letters, Vol. 91, no. 2 (Jul 2010), article no. 20005
- Publication year
- FOR Code(s)
- 01 Mathematical Sciences; 02 Physical Sciences
- Electron gas; Fermi gases; Fermion systems; Static properties of condensates
- EDP Sciences
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- Publisher URL
- Copyright © EPLA, 2010. Published version of the paper reproduced here in accordance with the copyright policy of the publisher.
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