Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance

Abstract

In this letter, we investigate the properties of a strongly interacting spinless Fermi gas close to a $p$-wave resonance. We show that the universal properties at a $p$-wave resonance are captured by two contacts, which are related respectively to the variation of energy with the $p$-wave scattering volume $v$ and with the effective range $R$ in the two adiabatic theorems derived. We show how the two contacts determine the leading and sub-leading asymptotic behavior of the momentum distribution ($\sim 1/k^2$ and $\sim 1/k^4$) and how they can be measured experimentally by radio-frequency, Bragg, and photo-association spectroscopies. Finally, we evaluate the two contacts at high temperature via the virial expansion.

5 pages, 1 figure. This version combines the original manuscript in PRL and the published Erratum

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Cited by in corpus (65)

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• Fermion superfluid with hybridized $s$- and $p$-wave pairings
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• Theory of strongly paired fermions with arbitrary short-range interactions
• The Operator Product Expansion Beyond Leading Order for Two-Component Fermions
• Maximum Energy Growth Rate in Dilute Quantum Gases
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• Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases
• Measurement of $p$-wave contacts in an ultracold Fermi gas of ${}^6$Li atoms
• Resonance-facilitated three-channel p-wave scattering
• Quench Dynamics of Thermal Bose Gases Across Wide and Narrow Feshbach
• Single Particle Spectroscopies of $p$-wave and $d$-wave Interacting Bose Gases in Normal Phase
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Universal Relations in Long-range Quantum Spin Chains
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