Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-03-18
Europhys. Lett. 91, 20005 (2010)
Physics
Condensed Matter
Quantum Gases
8 pages, 3 figures; revised according to the Referee's suggestions; publised version
Scientific paper
10.1209/0295-5075/91/20005
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 predict that the structure factor of unlike spin correlations $S_{\uparrow\downarrow}(q)$ falls off as $1/q$ in a universal scaling region with large momentum $\hbar q$ 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 new Tan relation together with the random-phase approximation and the virial expansion theory in various limiting cases, we show how to calculate $S_{\uparrow\downarrow}(q)$ 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 a new Tan relation and to accurately measure the value of contact parameter.
Drummond Peter D.
Hu Hui
Liu Xia-Ji
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