Efimov Physics in Cold Atoms

Abstract

Atoms with a large scattering length have universal low-energy properties that do not depend on the details of their structure or their interactions at short distances. In the 2-atom sector, the universal properties are familiar and depend only on the scattering length. In the 3-atom sector for identical bosons, the universal properties include the existence of a sequence of shallow triatomic molecules called Efimov trimers and log-periodic dependence of scattering observables on the energy and the scattering length. In this review, we summarize the universal results that are currently known. We also summarize the experimental information that is currently available with an emphasis on 3-atom loss processes.

57 pages, 13 figures, to appear in Annals of Physics

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Cited by in corpus (110)

• Modern Theory of Nuclear Forces
• Efimov Physics: a review
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• Observation of an Efimov spectrum in an atomic system
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Few-body physics with ultracold atomic and molecular systems in traps
• Formation and interactions of cold and ultracold molecules: new challenges for interdisciplinary physics
• Observation of three-photon bound states in a quantum nonlinear medium
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Exact relations for quantum-mechanical few-body and many-body problems with short-range interactions in two and three dimensions
• General relations for quantum gases in two and three dimensions. II. Bosons and mixtures
• Efimov States in Nuclear and Particle Physics
• Analytical solution of the bosonic three-body problem
• Stability of a unitary Bose gas
• Production of a dual-species Bose-Einstein condensate of Rb and Cs atoms
• Observation of interspecies Li-Cs Feshbach resonances
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Few-body physics in resonantly interacting ultracold quantum gases
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Physical Origin of the Universal Three-body Parameter in Atomic Efimov Physics
• Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons
• Strongly-resonant p-wave superfluids
• Atom-dimer and dimer-dimer scattering in fermionic mixtures near a narrow Feshbach resonance
• Low-Energy Universality in Atomic and Nuclear Physics
• Universal Scaling Laws in the Dynamics of a Homogeneous Unitary Bose Gas
• Three-body Recombination of Lithium-6 Atoms with Large Negative Scattering Lengths
• One spatial dimensional finite volume three-body interaction for a short-range potential
• Three-Body Recombination of Identical Bosons with a Large Positive Scattering Length at Nonzero Temperature
• Efimov states near a Feshbach resonance
• Population imbalance and pairing in the BCS-BEC crossover of three-component ultracold fermions
• Quantum mixtures of ultracold gases of neutral atoms
• Collisional properties of weakly bound heteronuclear dimers
• Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions
• Dynamics of three-body correlations in quenched unitary Bose gases
• Three-body recombination in heteronuclear mixtures at finite temperature
• The Efimov effect in lithium 6
• Effective Field Theory of Black Hole Echoes
• Confinement-induced Efimov resonances in Fermi-Fermi mixtures
• A possible Efimov trimer state in a 3-component lithium-6 mixture
• Efimov Physics in 6Li Atoms
• Pinpointing Feshbach Resonances and Testing Efimov Universalities in ${}^{39}$K
• Collapse and revival dynamics of superfluids of ultracold atoms in optical lattices
• Probing strongly interacting atomic gases with energetic atoms
• Universality in Efimov associated tetramers in 4He
• Looking for "avalanche-mechanism" loss at an atom-molecule Efimov resonance
• Point-Particle Effective Field Theory I: Classical Renormalization and the Inverse-Square Potential
• Decay Modes of the Hoyle State in ${}^{12}C$
• On the Stability of the Repulsive Fermi Gas with Contact Interactions
• Analyzing Feshbach resonances -- A ${}^6$Li -${}^{133}$Cs case study
• Bose-Einstein condensation of 87Rb in a levitated crossed dipole trap
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Universal Dimer in a Collisionally Opaque Medium: Experimental Observables and Efimov Resonances
• A Hubbard model for ultracold bosonic atoms interacting via zero-point-energy induced three-body interactions
• New Calculations of Recombination Rates for Cold ${}^4$He Atoms and Determination of Universal Scaling Functions
• Effective Range Corrections to Three-Body Recombination for Atoms with Large Scattering Length
• Ultracold magnetically tunable interactions without radiative charge transfer losses between Ca${}^{+}$, Sr${}^{+}$, Ba${}^{+}$, and Yb${}^{+}$ ions and Cr atoms
• Resonant Atom-Dimer Relaxation in Ultracold Atoms
• Bunching, clustering, and the buildup of few-body correlations in a quenched unitary Bose gas
• Dynamical formation of the unitary Bose gas
• Finite-Temperature Study of Bose-Fermi Superfluid Mixtures
• Large-N approximation for single- and two-component dilute Bose gases
• More on the universal equation for Efimov states
• Enhanced n-body annihilation of dark matter and its indirect signatures
• Universal physics of three bosons with isospin
• QCD-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases
• An elementary exposition of the Efimov Effect
• Van der Waals universality in homonuclear atom-dimer elastic collisions
• Three-body bound states in atomic mixtures with resonant p-wave interaction
• Two- and three-body problem with Floquet-driven zero-range interactions
• D-dimensional three-body bound-state problem with zero range interactions
• Fall to the Centre in Atom Traps and Point-Particle EFT for Absorptive Systems
• Exact solution of the three-boson problem at vanishing energy
• Tetramers of two heavy and two light bosons
• Photoassociative Spectroscopy of a Halo Molecule in ${}^{86}$Sr
• A geometrical interpretation of the Thomas theorem and the Efimov States
• Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror
• Sampling General N-Body Interactions with Auxiliary Fields
• Lithium-cesium slow beam from a two-dimensional magneto-optical trap
• Geometric scaling in the spectrum of an electron captured by a stationary finite dipole
• Three-body bound states of two bosons and one impurity in one dimension
• Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation
• Efimov states with strong three-body losses
• Fermions meet two bosons -- the heteronuclear Efimov effect revisited
• Three-boson spectrum in the presence of 1D spin-orbit coupling: Efimov's generalized radial scaling law
• Temperature dependence of an Efimov resonance in ${}^{39}\mathrm{K}$
• Kinetic formation of trimers in a spinless fermionic chain
• Three-body contact for fermions. I. General relations
• Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
• Exactly solvable models for multiatomic molecular Bose-Einstein condensates
• Structural properties of bosonic He clusters with N=2-10 for different potential models at the physical point and at unitarity
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Analytic expression for three-body recombination rates into deep dimers
• Universal bound states and resonances with Coulomb plus short-range potentials
• Three-body recombination in a single-component Fermi gas with $p$-wave interaction
• Feshbach resonances in an ultracold ${}^7$Li-${}^{133}$Cs Bose-Bose mixture
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
• Exactly solvable models for triatomic-molecular Bose-Einstein Condensates
• Cold atoms beyond atomic physics
• Exact Thermodynamics For Weakly Interacting Normal-Phase Quantum Gases: Equations of State For All Partial Waves
• Exploring the Strongly-Interacting Regime of Effective Multi-Body Interactions in a Trapped Ultracold Atom System
• Fall-to-the-centre as a $\mathcal{P}\mathcal{T}$ symmetry breaking transition
• Efimov Effect in Long-range Quantum Spin Chains
• Observability of the Efimov spectrum in an electron-atom-atom system
• Universal Bound States in Long-range Spin Chains with an Impurity
• The role of the effective range in strongly-interacting few-body systems
• Interacting Bose-condensed gases
• Reliability of the Born-Oppenheimer approximation in noninteger dimensions
• Neural-network solution of subtracted three-body Faddeev integral equations near the Efimov limit
• The fractal geometry and the mapping of Efimov states to Bloch states