Few-body physics in resonantly interacting ultracold quantum gases

Abstract

We provide a general discussion on the importance of three-body Efimov physics for strongly interacting ultracold quantum gases. Using the adiabatic hyperspherical representation, we discuss a universal classification of three-body systems in terms of the attractive or repulsive character of the effective interactions. The hyperspherical representation leads to a simple and conceptually clear picture for the bound and scattering properties of three-body systems with strong $s$-wave interactions. Using our universal classification scheme, we present a detailed discussion of all relevant ultracold three-body scattering processes using a pathway analysis that makes evident the importance of Efimov physics in determining the energy and scattering length dependence of such processes. This article provides a general overview of the current status of the field and a discussion of various issues relevant to the lifetime and stability of ultracold quantum gases along with universal properties of ultracold, resonantly interacting, few-body systems.

53 pages, 23 figures

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• Excited Thomas-Efimov levels in ultracold gases
• Study of Efimov physics in two nuclear-spin sublevels of 7Li
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• Energetics and structural properties of three-dimensional bosonic clusters near threshold
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• Collisions between tunable halo dimers: exploring an elementary four-body process with identical bosons
• Energy spectra of small bosonic clusters having a large two-body scattering length
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• Looking for "avalanche-mechanism" loss at an atom-molecule Efimov resonance
• The three-body parameter for Efimov states in lithium-6
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• Effective Range Corrections to Three-Body Recombination for Atoms with Large Scattering Length
• Efimov states embedded in the three-body continuum
• Resonant Atom-Dimer Relaxation in Ultracold Atoms
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Cited by in corpus (62)

• Emergence of multi-body interactions in few-atom sites of a fermionic lattice clock
• Feshbach Resonances in an Erbium-Dysprosium Dipolar Mixture
• Precision Test of the Limits to Universality in Few-Body Physics
• Dynamics of three-body correlations in quenched unitary Bose gases
• Efimov Physics in Quenched Unitary Bose Gases
• Non-resonant Density of States Enhancement at Low Energies for Three or Four Neutrons
• Observation of Efimov Universality across a Non-Universal Feshbach Resonance in \textsuperscript{39}K
• Tunable three-body interactions in driven two-component Bose-Einstein condensates
• Three-body recombination in physical chemistry
• Pinpointing Feshbach Resonances and Testing Efimov Universalities in ${}^{39}$K
• Van der Waals universality near a quantum tricritical point
• Finite-range effects in Efimov physics beyond the separable approximation
• Cumulant theory of the unitary Bose gas: Prethermal and Efimovian dynamics
• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Scattering hypervolume for ultracold bosons from weak to strong interactions
• Interplay between coherent and dissipative dynamics of bosonic doublons in an optical lattice
• Spin-conservation propensity rule for three-body recombination of ultracold Rb atoms
• Bunching, clustering, and the buildup of few-body correlations in a quenched unitary Bose gas
• Dynamical formation of the unitary Bose gas
• Strong spin-exchange recombination of three weakly interacting ${}^7$Li atoms
• Reshaped Three-Body Interactions and the Observation of an Efimov State in the Continuum
• Few-body states of bosons interacting with a heavy quantum impurity
• Signatures of Non-universal Quantum Dynamics of Ultracold Chemical Reactions of Polar Alkali-dimer Molecules with Alkali-metal Atoms: Li(${}^2$S) +NaLi($a^3{\Sigma }^{+}$) $\to$ Na(${}^2$S) + Li${}_2$($a^3{\Sigma }_u^{+}$)
• A coherent superposition of Feshbach dimers and Efimov trimers
• Efimov scenario for overlapping narrow Feshbach resonances
• Observation of Anomalous Decay of a Polarized Three-Component Fermi Gas
• Emergent inflation of the Efimov spectrum under three-body spin-exchange interactions
• Energy-scaling of the product state distribution for three-body recombination of ultracold atoms
• Three-body spin mixing in spin-1 Bose-Einstein condensates
• Universality of Efimov states in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Efficient three-body calculations with a two-body mapped grid method
• Efimov resonance position near a narrow Feshbach resonance in ${}^6$Li-${}^{133}$Cs mixture
• Three-body universality in ultracold $p$-wave resonant mixtures
• Possible halo structure of ${}^{62,72}$Ca by forbidden-state-free locally peaked Gaussians
• Dynamical excitation processes and correlations of three-body two-dimensional mixtures
• Interferometry of Efimov states in thermal gases by modulated magnetic fields
• Spin hierarchy in van der Waals molecule formation via ultracold three-body recombination
• Loosely Bound Few-Body States in a Spin-1 Gas with Near-Degenerate Continua
• Universal trimers with p-wave interactions and the faux-Efimov effect
• Magnetic-field-induced tunability of spin Hamiltonians: Resonances and Efimov states in Yb${}_2$Ti${}_2$O${}_7$
• Stability of $(N+1)$-body fermion clusters in multiband Hubbard model
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• Quenched Magneto-association of Ultracold Feshbach Molecules
• Universal bound states and resonances with Coulomb plus short-range potentials
• Asymmetric lineshapes of Efimov resonances in mass-imbalanced ultracold gases
• Bose-like few-fermion systems
• Structural properties of bosonic He clusters with N=2-10 for different potential models at the physical point and at unitarity
• Efimov effect for two particles on a semi-infinite line
• All-optical bubble trap for ultracold atoms in microgravity
• Spin structure of diatomic van der Waals molecules of alkali atoms
• Exploring the Strongly-Interacting Regime of Effective Multi-Body Interactions in a Trapped Ultracold Atom System
• Universal Efimov spectra and fermionic doublets in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Finite-range bias in fitting three-body loss to the zero-range model
• Efimov Effect in Ultracold Microwave-Shielded Polar Molecules
• Density effects on the interferometry of Efimov states by modulating magnetic fields
• Delta-Kick Collimation of Heteronuclear Feshbach Molecules
• Mechanisms of anomalous three-body loss in a population-imbalanced three-component Fermi gas
• Accurate simulation of Efimov physics in ultracold atomic gases with realistic three-body multichannel interactions
• Universality in Ionic Three-body Systems Near an Ion-atom Feshbach Resonance
• A quadratic-scaling algorithm with guaranteed convergence for quantum coupled-channel calculations
• Lellouch-Lüscher relation for ultracold few-atom systems under confinement