Contact Theory for Spin-Orbit-Coupled Fermi Gases

Physical Review Letters
Shi-Guo PengKaijun Jiang

Abstract

We develop the contact theory for spin-orbit-coupled Fermi gases. By using a perturbation method, we derive analytically the universal two-body behavior at short distance, which does not depend on the short-range details of interatomic potentials. We find that two new scattering parameters need to be introduced because of spin-orbit coupling, besides the traditional s- and p-wave scattering length (volume) and effective ranges. This is a general and unique feature for spin-orbit-coupled systems. Consequently, two new adiabatic energy relations with respect to the new scattering parameters are obtained, in which a new contact is involved because of spin-orbit coupling. In addition, we derive the asymptotic behavior of the large-momentum distribution, and find that the subleading tail is corrected by the new contact. This work paves the way for exploring the profound properties of spin-orbit-coupled many-body systems, according to two-body solutions.

References

Jun 4, 2008·Physical Review Letters·Eric Braaten, Lucas Platter
Mar 4, 2011·Nature·Y-J LinI B Spielman
Sep 26, 2012·Physical Review Letters·Pengjun WangJing Zhang
Sep 26, 2012·Physical Review Letters·Lawrence W CheukMartin W Zwierlein
Sep 26, 2012·Physical Review Letters·Brandon M AndersonI B Spielman
Jan 15, 2014·The Journal of Chemical Physics·Jesse J Lutz, Jeremy M Hutson
Oct 10, 2015·Physical Review Letters·Zhenhua YuShizhong Zhang
Feb 13, 2016·Physical Review Letters·Mingyuan HeQi Zhou
Jan 28, 2017·Science·Richard J FletcherZoran Hadzibabic

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