Effective theory and universal relations for Fermi gases near a $d$-wave interaction resonance

Abstract

In this work, we present an effective field theory to describe a two-component Fermi gas near a $d$-wave interaction resonance. The effective field theory is renormalizable by matching with the low energy $d$-wave scattering phase shift. Based on the effective field theory, we derive universal properties of the Fermi gas by the operator product expansion method. We find that beyond the contacts defined by adiabatic theorems, the asymptotic expressions of the momentum distribution and the Raman spectroscopy involve two extra contacts which provide additional information of correlations of the system. Our formalism sets the stage for further explorations of many-body effects in a $d$-wave resonant Fermi gas. Finally we generalise our effective field theory for interaction resonances of arbitrary higher partial waves.

revised version

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Cited by in corpus (18)

• Contact matrix in dilute quantum systems
• Normal State Properties of a resonantly interacting p-wave Fermi Gas
• A strongly interacting high partial wave Bose gas
• $s$-wave Contacts of Quantum Gases in Quasi-one and Quasi-two Dimensions
• Theory of strongly paired fermions with arbitrary short-range interactions
• High-momentum tail and universal relations of a Fermi gas near a Raman-dressed Feshbach resonance
• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
• Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
• Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
• Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Three-Body Problem of Bosons nearby a d-wave Resonance
• Three-body contact for fermions. I. General relations
• Single Particle Spectroscopies of $p$-wave and $d$-wave Interacting Bose Gases in Normal Phase
• Superfluid phases and excitations in a cold gas of d-wave interacting bosonic atoms and molecules
• Universal Relations in Long-range Quantum Spin Chains