Evidence for universal relations describing a gas with $p$-wave interactions

Abstract

Thermodynamics provides powerful constraints on physical and chemical systems in equilibrium. However, non-equilibrium dynamics depends explicitly on microscopic properties, requiring an understanding beyond thermodynamics. Remarkably, in dilute gases, a set of universal relations is known to connect thermodynamics directly with microscopic properties. So far, these "contact" relations have been established only for interactions with $s$-wave symmetry, i.e., without relative angular momentum. We report measurements of two new physical quantities, the "$p$-wave contacts", and present evidence that they encode the universal aspects of $p$-wave interactions through recently proposed relations. Our experiments use an ultracold Fermi gas of ${}^{40}$K, in which $s$-wave interactions are suppressed by polarising the sample, while $p$-wave interactions are enhanced by working near a scattering resonance. Using time-resolved spectroscopy, we study how correlations in the system develop after "quenching" the atoms into an interacting state. Combining quasi-steady-state measurements with new contact relations, we infer an attractive $p$-wave interaction energy as large as half the Fermi energy. Our results reveal new ways to understand and characterise the properties of a resonant $p$-wave quantum gas.

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References in corpus (25)

• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Resonantly-paired fermionic superfluids
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Chiral P-Wave Order in Sr_2RuO_4
• Verification of universal relations in a strongly interacting Fermi gas
• p-wave Feshbach molecules
• Number of closed-channel molecules in the BEC-BCS crossover
• 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
• Collisional Properties of p-Wave Feshbach Molecules
• Binding Energies of 6Li p-wave Feshbach Molecules
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Radio-Frequency Transitions on Weakly-Bound Ultracold Molecules
• 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 high-momentum asymptote and thermodynamic relations in a spinless Fermi gas with a resonant $p$-wave interaction
• Enhanced paraconductivity-like fluctuations in the radio frequency spectra of ultracold Fermi atoms
• Concept of contact spectrum and its applications in atomic quantum Hall states
• A two-dimensional Fermi liquid with attractive interactions
• Experimental evaluation of the nuclear neutron-proton contact
• Modeling interactions for resonant p-wave scattering

Cited by in corpus (84)

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• Universal One-dimensional Atomic Gases Near Odd-wave Resonance
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• 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
• Two-body relaxation in a Fermi gas at a p-wave Feshbach resonance
• Collisional loss of one-dimensional fermions near a $p$-wave Feshbach resonance
• Scaling Law for Three-body Collisions in Identical Fermions with $p$-wave Interactions
• High-momentum distribution with subleading $k^{-3}$ tail in the odd-wave interacting one-dimensional Fermi gases
• Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions
• Unitarity-limited behavior of three-body collisions in a p-wave interacting Fermi gas
• Observation of dipolar splittings in high-resolution atom-loss spectroscopy of ${}^6$Li $p$-wave Feshbach resonances
• Observation of broad p-wave Feshbach resonances in ultracold ${}^{85}$Rb-${}^{87}$Rb mixtures
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• Stretching p-wave molecules by transverse confinements
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Contact matrix in dilute quantum systems
• Creation of p-wave Feshbach molecules in the selected angular momentum states using an optical lattice
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases
• Probing open- and closed-channel p-wave resonances
• Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
• Effective theory and universal relations for Fermi gases near a $d$-wave interaction resonance
• Dynamics of a Fermi gas quenched to unitarity
• 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
• Contact theory for spin-orbit-coupled Fermi gases
• Stable p-wave resonant two-dimensional Fermi-Bose dimers
• Analytic thermodynamic properties of the Lieb-Liniger gas
• 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
• Many-body stabilization of a resonant p-wave Fermi gas in one dimension
• Unitary $p$-wave Fermi gas in one dimension
• 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
• Short range correlations - The important role of few-body dynamics in many-body systems
• Universal Feature in Optical Control of a p-wave Feshbach Resonance
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• High-momentum tail and universal relations of a Fermi gas near a Raman-dressed Feshbach resonance
• Quantum Monte Carlo study of the role of p-wave interactions in ultracold repulsive Fermi gases
• Contact formalism for coupled channels
• Majorana edge state in a number-conserving Fermi gas with tunable p-wave interaction
• Thermally stable p-wave repulsive Fermi polaron without a two-body bound state
• Strong-Coupling and Finite Temperature Effects on $p$-wave Contacts
• 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
• Spontaneous formation of polar superfluid droplets in a p-wave interacting Bose gas
• Temperature-Dependent Contact of Weakly Interacting Single-Component Fermi Gases and Loss Rate of Degenerate Polar Molecules
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital 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
• Multichannel Molecular State and Rectified Short-range Boundary Condition for Spin-orbit Coupled Ultracold Fermions Near p-wave Resonances
• Universal relations for a spin-polarized Fermi gas in two dimensions
• 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
• Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
• Studies of Single Component Fermi Gas near a $P$-wave Resonance with Lowest Order Constrained Variational Method
• 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
• Dynamic virial theorem at nonequilibrium and applications
• Collective P-Wave Orbital Dynamics of Ultracold Fermions
• Three-body contact for fermions. I. General relations
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Temperature dependence of $p$-wave contacts in a harmonically trapped Fermi gas
• Precision Measurement of Spin-Dependent Dipolar Splitting in ${}^6$Li p-Wave Feshbach Resonances
• Local manipulation of quantum magnetism in 1D ultracold Fermi gases across narrow resonances
• How to measure the free energy and partition function from atom-atom correlations
• Pairing from repulsion in a two-dimensional Fermi gas with soft-core interactions
• 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
• Universal scattering phase shift in the presence of spin-orbit coupling
• Measurement of $p$-wave contacts in an ultracold Fermi gas of ${}^6$Li atoms
• Single Particle Spectroscopies of $p$-wave and $d$-wave Interacting Bose Gases in Normal Phase
• Universal Efimov spectra and fermionic doublets in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Probing $p$-wave effects in spin-density separation of Bose mixtures with the dynamic structure factor
• Resonance-facilitated three-channel p-wave scattering
• Observation of high partial-wave Feshbach resonances in ${}^{39}$K Bose-Einstein condensates
• Elastic collision rates of spin-polarized fermions in two dimensions
• Efficient determination of eigenenergies and eigenstates of $N$ ($N=3$--$4$) identical 1D bosons and fermions under external harmonic confinement
• Heuristic machinery for thermodynamic studies of SU(N) fermions with neural networks