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Universal Relations for a Fermi Gas Close to a p-Wave Interaction Resonance
Zhenhua Yu1, Joseph H Thywissen2, Shizhong Zhang3
1Institute for Advanced Study, Tsinghua University, Beijing 100084, China.
Abstract:
We investigate the properties of a spinless Fermi gas close to a p-wave interaction resonance. We show that the effects of interaction near a p-wave resonance are captured by two contacts, which are related to the variation of energy with the p-wave scattering volume v and with the effective range R in two adiabatic theorems. Exact pressure and virial relations are derived. We show how the two contacts determine the leading and subleading asymptotic behavior of the momentum distribution (∼1/k^{2} and ∼1/k^{4}) and how they can be measured experimentally by radio-frequency and photoassociation spectroscopies. Finally, we evaluate the two contacts at high temperature with a virial expansion.
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