Three fully polarized fermions close to a p-wave Feshbach resonance

Abstract

We study the three-body problem for three atomic fermions, in the same spin state, experiencing a resonant interaction in the p-wave channel via a Feshbach resonance represented by a two-channel model. The rate of inelastic processes due to recombination to deeply bound dimers is then estimated from the three-body solution using a simple prescription. We obtain numerical and analytical predictions for most of the experimentally relevant quantities that can be extracted from the three-body solution: the existence of weakly bound trimers and their lifetime, the low-energy elastic and inelastic scattering properties of an atom on a weakly bound dimer (including the atom-dimer scattering length and scattering volume), and the recombination rates for three colliding atoms towards weakly bound and deeply bound dimers. The effect of "background" non-resonant interactions in the open channel of the two-channel model is also calculated and allows to determine which three-body quantities are `universal' and which on the contrary depend on the details of the model.

31 pages, 12 figures

References in corpus (18)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Observation of Bose-Einstein Condensation of Molecules
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Weakly bound dimers of fermionic atoms
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Resonantly-paired fermionic superfluids
• Precision Measurements of Collective Oscillations in the BEC-BCS Crossover
• Three-boson problem near a narrow Feshbach resonance
• p-wave Feshbach molecules
• The potential energy of a ${}^{40}$K Fermi gas in the BCS-BEC crossover
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• Anisotropic Fermi Superfluid via p-wave Feshbach Resonance
• Scattering Length Scaling Laws for Ultracold Three-Body Collisions
• Fermion Superfluids of Non-Zero Orbital Angular Momentum near Resonance
• Excited Thomas-Efimov levels in ultracold gases
• Modeling interactions for resonant p-wave scattering
• Collisional relaxation of Feshbach molecules and three-body recombination in 87Rb Bose-Einstein condensates

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• Majorana modes and $p$-wave superfluids for fermionic atoms in optical lattices
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• Resonant Scattering of Ultracold Atoms in Low Dimensions
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• Induced p-wave superfluidity in two dimensions: Brane world in cold atoms and nonrelativistic defect CFTs
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• Structure and consequences of vortex-core states in p-wave superfluids
• Quantitative analysis of $p$-wave three-body losses via cascade process
• The p-wave polaron
• Ultracold atom-molecule collisions with fermionic atoms
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• Three-body forces and Efimov physics in nuclei and atoms
• An impurity immersed in a double Fermi Sea
• Stability against three-body clustering in one-dimensional spinless p-wave fermions
• Trion resonance in polariton-electron scattering
• Scattering Hypervolume of Spin-Polarized Fermions
• Efimov physics implications at $p$-wave fermionic unitarity
• $P$-wave Efimov physics implications at unitarity
• Transport in p-wave interacting Fermi gases
• Universal trimers with p-wave interactions and the faux-Efimov effect
• Emergent $s$-wave interactions in orbitally active quasi-two-dimensional Fermi gases
• Dip-hump temperature dependence of Specific Heat and Effects of Pairing Fluctuations in the Weak-coupling Side of a $p$-wave Interacting Fermi Gas
• Three-body recombination in a single-component Fermi gas with $p$-wave interaction
• Strong-coupling Properties of a $p$-wave Interacting Fermi Gas on the Viewpoint of Specific Heat at Constant Volume
• Many-body dynamics of p-wave Feshbach molecule production: a mean-field approach
• Precision Measurement of Spin-Dependent Dipolar Splitting in ${}^6$Li p-Wave Feshbach Resonances
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• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases
• Efficient determination of eigenenergies and eigenstates of $N$ ($N=3$--$4$) identical 1D bosons and fermions under external harmonic confinement
• Shallow Trimers of Two Identical Fermions and One Particle in Resonant Regimes
• s- and p-superfluidity of Fermi atoms in Bose-Fermi mixtures
• Shear Viscosity in the Strong Interaction Regime of a p-wave Superfluid Fermi Gas