Universal high-momentum asymptote and thermodynamic relations in a spinless Fermi gas with a resonant $p$-wave interaction

Abstract

We investigate universal relations in a spinless Fermi gas near a $p$-wave Feshbach resonance. We show that the momentum distribution $n_{\vec{k}}$ has an asymptote proportional to $k^{-2}$ with the proportionality constant--the $p$-wave contact-- scaling with the number of closed-channel molecules. We prove the adiabatic sweep theorem for a $p$-wave resonance which reveals the physical meaning of the $p$-wave contact in thermodynamics. In contrast to the unitary Fermi gas in which Tan's contact is universal, the $p$-wave contact depends on the short-range details of the interaction.

References in corpus (13)

• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Resonantly-paired fermionic superfluids
• 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
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance
• Strongly-resonant p-wave superfluids
• Universal contact of strongly interacting fermions at finite temperatures
• Modeling interactions for resonant p-wave scattering

Cited by in corpus (55)

• Evidence for universal relations describing a gas with $p$-wave interactions
• Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance
• Concept of contact spectrum and its applications in atomic quantum Hall states
• Universal One-dimensional Atomic Gases Near Odd-wave Resonance
• Strongly Interacting p-wave Fermi Gas in Two-Dimensions: Universal Relations and Breathing Mode
• 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
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Contact matrix in dilute quantum systems
• Probing open- and closed-channel p-wave resonances
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases
• Effective theory and universal relations for Fermi gases near a $d$-wave interaction resonance
• Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
• Universal relations and normal phase of an ultracold Fermi gas with coexisting $s$- and $p$-wave interactions
• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
• Normal State Properties of a resonantly interacting p-wave Fermi Gas
• A strongly interacting high partial wave Bose gas
• Fermion superfluid with hybridized $s$- and $p$-wave pairings
• Unitary $p$-wave Fermi gas in one dimension
• The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity
• Two-dimensional Fermi gases near a p-wave resonance: effect of quantum fluctuations
• $s$-wave Contacts of Quantum Gases in Quasi-one and Quasi-two Dimensions
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• Universal Feature in Optical Control of a p-wave Feshbach Resonance
• High-momentum tail and universal relations of a Fermi gas near a Raman-dressed Feshbach resonance
• Contact formalism for coupled channels
• Strong-Coupling and Finite Temperature Effects on $p$-wave Contacts
• Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
• 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
• Temperature-Dependent Contact of Weakly Interacting Single-Component Fermi Gases and Loss Rate of Degenerate Polar Molecules
• Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
• 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
• Multichannel Molecular State and Rectified Short-range Boundary Condition for Spin-orbit Coupled Ultracold Fermions Near p-wave Resonances
• Three-body universality in ultracold $p$-wave resonant mixtures
• Quantum fluctuations of a resonantly interacting $p$-wave Fermi superfluid in two dimensions
• Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with $p$- or $d$-wave pairing
• Emergent $s$-wave interactions in orbitally active quasi-two-dimensional Fermi gases
• Resonantly interacting $p$-wave Fermi superfluid in two dimensions: Tan's contact and breathing mode
• Studies of Single Component Fermi Gas near a $P$-wave Resonance with Lowest Order Constrained Variational Method
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Three-body contact for fermions. I. General relations
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Temperature dependence of $p$-wave contacts in a harmonically trapped Fermi gas
• Universal scattering phase shift in the presence of spin-orbit coupling
• Exact Thermodynamics For Weakly Interacting Normal-Phase Quantum Gases: Equations of State For All Partial Waves
• 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
• Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas
• Resonance-facilitated three-channel p-wave scattering
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Universal Relations in Long-range Quantum Spin Chains
• Elastic collision rates of spin-polarized fermions in two dimensions