High-momentum tail and universal relations of a Fermi gas near a Raman-dressed Feshbach resonance

Abstract

In a recent proposal [Jie and Zhang, Phys. Rev. A 95, 060701(R) (2017)], it has been shown that center-of-mass-momentum-dependent two-body interactions can be generated and tuned by Raman coupling the closed-channel bound states in a magnetic Feshbach resonance. Here we investigate the universal relations in a three-dimensional Fermi gas near such a laser modulated $s$-wave Feshbach resonance. Using the operator-product expansion approach, we find that, to fully describe the high-momentum tail of the density distribution up to $q^{-6}$ ($q$ is the relative momentum), four center-of-mass-momentum-dependent parameters are required, which we identify as contacts. These contacts appear in various universal relations connecting microscopic and thermodynamic properties. One contact is related to the variation of energy with respect to the inverse scattering length and determines the leading $q^{-4}$ tail of the high-momentum distribution. Another vector contact appears in the subleading $q^{-5}$ tail, which is related to the velocity of closed-channel molecules. The other two contacts emerge in the $q^{-6}$ tail and are respectively related to the variation of energy with respect to the range parameter and to the kinetic energy of closed-channel molecules. Particularly, we find that the $q^{-5}$ tail and part of the $q^{-6}$ tail of the momentum distribution show anisotropic features. We derive the universal relations and, as a concrete example, estimate the contacts for the zero-temperature superfluid ground state of the system using a mean-field approach.

10 pages, 6 figures, update references, published version

References in corpus (26)

• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Verification of universal relations in a strongly interacting Fermi gas
• Universal Properties of the Ultra-Cold Fermi Gas
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Universal Relations for Identical Bosons from 3-Body Physics
• Two and Three-body Contacts in the Unitary Bose Gas
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance
• Scattering Models for Ultracold Atoms
• Large-momentum distribution of a polarized Fermi gas and p-wave contacts
• High-momentum distribution with subleading $k^{-3}$ tail in the odd-wave interacting one-dimensional Fermi gases
• Universal Tan relations for quantum gases in one dimension
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases
• Realizing Fulde-Ferrell Superfluids via a Dark-State Control of Feshbach Resonances
• Contact theory for spin-orbit-coupled Fermi gases
• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
• The Condition for Universality at Resonance and Direct Measurement of Pair Wavefunctions Using rf Spectroscopy
• Center-of-mass-momentum-dependent interaction between ultracold atoms
• Tan's contact in a cigar-shaped dilute Bose gas
• $s$-wave Contacts of Quantum Gases in Quasi-one and Quasi-two Dimensions
• Universal Feature in Optical Control of a p-wave Feshbach Resonance
• Universal three-body bound states in mixed dimensions beyond the Efimov paradigm
• Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
• Universal relations of strongly interacting Fermi gases with multiple scattering channels

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• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Nonlinear Hall effects with an exceptional ring
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling