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Title

Static structure factor of a strongly correlated Fermi gas at large momenta

Author(s)

Hu, H.;  Liu, X.-J.;  Drummond, P. D.

Abstract

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. ARC Centre of Excellence for Quantum-Atom Optics

Source

Europhysics Letters, Vol. 91, no. 2 (Jul 2010), article no. 20005

Publication year

2010

FOR Code(s)

01 Mathematical Sciences;  02 Physical Sciences

Keyword(s)

Electron gas;  Fermi gases;  Fermion systems;  Static properties of condensates

Publisher

EDP Sciences

ISSN

0295-5075

Publisher URL

http://dx.doi.org/10.1209/0295-5075/91/20005

Copyright

Copyright © EPLA, 2010. Published version of the paper reproduced here in accordance with the copyright policy of the publisher.

Research Projects

Ultracold atomic Fermi gases in the strongly interacting regime: a new frontier of quantum many-body physics, Australian Research Council grant number DP0984522
Imbalanced superfluidity: the quantum mystery that defies solution, Australian Research Project grant number DP0984637

Full text

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