Three-body recombination of ultra-cold atoms to a weakly bound $s$ level

Abstract

We discuss three-body recombination of ultra-cold atoms to a weakly bound $s$ level. In this case, characterized by large and positive scattering length $a$ for pair interaction, we find a repulsive effective potential for three-body collisions, which strongly reduces the recombination probability and makes simple Jastrow-like approaches absolutely inadequate. In the zero temperature limit we obtain a universal relation, independent of the detailed shape of the interaction potential, for the (event) rate constant of three-body recombination: ${\alpha }_{\mathrm{rec}}=3.9\hslash a^4/m$, where $m$ is the atom mass.

10 pages, 3 Postscript figures

Cited by in corpus (159)

• Many-Body Physics with Ultracold Gases
• Theory of Bose-Einstein condensation in trapped gases
• Feshbach Resonances in Ultracold Gases
• Universality in Few-body Systems with Large Scattering Length
• Optical Confinement of a Bose-Einstein Condensate
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• The cold atom Hubbard toolbox
• Observation of Bose-Einstein Condensation of Molecules
• Bose-Einstein condensation in quasi2D trapped gases
• Strongly enhanced inelastic collisions in a Bose-Einstein condensate near Feshbach resonances
• Observation of an Efimov spectrum in an atomic system
• Bose-Einstein Condensation of Metastable Helium
• Feshbach resonances in rubidium 87: Precision measurement and analysis
• Three-body problem in Fermi gases with short-range interparticle interaction
• Three-body recombination at large scattering lengths in an ultracold atomic gas
• Extreme tunability of interactions in a ${}^7$Li Bose-Einstein condensate
• Contact Measurements on Atomic BEC
• Universal few-body physics and cluster formation
• New states of matter with fine-tuned interactions: quantum droplets and dipolar supersolids
• Universal dynamics of a degenerate unitary Bose gas
• Three-body recombination in Bose gases with large scattering length
• Three-boson problem near a narrow Feshbach resonance
• Observation of universality in ultracold 7Li three-body recombination
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Atom-molecule coherence in Bose gases
• Few-body physics with ultracold atomic and molecular systems in traps
• Magnetic Field Dependence of Ultracold Inelastic Collisions near a Feshbach Resonance
• Feshbach resonances in ultracold K(39)
• Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
• Mesoscopic molecular ions in Bose-Einstein condensates
• Observation of Feshbach resonances in an ultracold gas of ${}^{52}$Cr
• Dynamics and Thermodynamics of the Low-Temperature Strongly Interacting Bose Gas
• Three-body recombination into deep bound states in a Bose gas with large scattering length
• Bose-Einstein condensation of alkaline earth atoms: ${}^{40}${Ca}
• Cold and trapped metastable noble gases
• Feshbach spectroscopy and analysis of the interaction potentials of ultracold sodium
• Efimov Resonances in Ultracold Quantum Gases
• Cold Bose gases with large scattering lengths
• Atomic Bose-Einstein Condensation with Three-Body Interactions and Collective Excitations
• Comparing and contrasting nuclei and cold atomic gases
• Scattering Length Scaling Laws for Ultracold Three-Body Collisions
• Feshbach resonances, weakly bound molecular states and coupled-channel potentials for cesium at high magnetic fields
• Stability of a unitary Bose gas
• Production of quantum degenerate strontium gases: Larger, better, faster, colder
• Interferometric determination of the s- and d-wave scattering amplitudes in ${}^{87}$Rb
• Photoassociation of a Bose-Einstein Condensate near a Feshbach Resonance
• Exploring the unification of quantum theory and general relativity with a Bose-Einstein condensate
• Recombination of three ultracold fermionic atoms
• Three-body correlation functions and recombination rates for bosons in three and one dimensions
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Quenching to unitarity: Quantum dynamics in a 3D Bose gas
• Mean-field analysis of collapsing and exploding Bose-Einstein condensates
• Quantum kinetic theory IV: Intensity and amplitude fluctuations of a Bose- Einstein condensate at finite temperature including trap loss
• Bose-Einstein condensate in gases of rare atomic species
• Universality in the Three-Body Problem for 4He Atoms
• Production of optically trapped ${}^{87}$RbCs Feshbach molecules
• Universal Scaling Laws in the Dynamics of a Homogeneous Unitary Bose Gas
• Study of Efimov physics in two nuclear-spin sublevels of 7Li
• Degenerate fermion gas heating by hole creation
• Extended molecules and geometric scattering resonances in optical lattices
• A general theoretical description of N-body recombination
• Enhancing the Observability of the Efimov Effect in Ultracold Atomic Gas Mixtures
• Precision Test of the Limits to Universality in Few-Body Physics
• Mean-field description of collapsing and exploding Bose-Einstein condensates
• Bosenova and three-body loss in a Rb-85 Bose-Einstein condensate
• Collapse dynamics of trapped Bose-Einstein condensates
• Universal three-body physics in ultracold KRb mixtures
• Life and death of a cold BaRb${}^{+}$ molecule inside an ultracold cloud of Rb atoms
• Liquid-Gas phase transition in Bose-Einstein Condensates with time evolution
• Bose Gases Near Unitarity
• Three-body recombination of ultracold Bose gases using the truncated Wigner method
• Bose-Einstein condensation of 86Sr
• Thermal equilibrium and efficient evaporation of an ultracold atom-molecule mixture
• The Hyperspherical Four-Fermion Problem
• Universal low-energy properties of three two-dimensional particles
• Connecting few-body inelastic decay to many-body correlations: a weakly coupled impurity in a resonant Fermi gas
• A Large Atom Number Metastable Helium Bose-Einstein Condensate
• Dynamics of a Bose-Einstein Condensate near a Feshbach Resonance
• Laser cooling and trapping of atomic strontium for ultracold atom physics, high-precision spectroscopy and quantum sensors
• Stability of the two-dimensional Bose gases in the resonant regime
• Spatial separation in a thermal mixture of ultracold ${}^{174}$Yb and ${}^{87}$Rb atoms
• Universal temperature dependence of the ion-neutral-neutral three-body recombination rate
• Revealing single-trap condensate fragmentation by measuring density-density correlations after time of flight
• Multi-impurity polarons in a dilute Bose-Einstein condensate
• Scaling Law for Three-body Collisions in Identical Fermions with $p$-wave Interactions
• Cold three-body collisions in hydrogen-hydrogen-alkali atomic system
• Dilute resonating gases and the third virial coefficient
• Non-perturbative predictions for cold atom Bose gases with tunable interactions
• Efimov correlations in strongly interacting Bose gases
• Superfluid phases of the three-species fermion gas
• Nonequilibrium States of a Quenched Bose Gas
• N-body Efimov states of trapped bosons
• Three body recombination of ultracold dipoles to weakly bound dimers
• Getting the elastic scattering length by observing inelastic collisions in ultracold metastable helium atoms
• All-optical production of 7Li Bose-Einstein condensation using Feshbach resonances
• Reaction kinetics of ultracold molecule-molecule collisions
• Ionization rates in a Bose-Einstein condensate of metastable Helium
• Regularized zero-range model and an application to the triton and the hypertriton
• Dynamically Slowed Collapse of a Bose-Einstein Condensate with Negative Scattering Length
• Finite-range effects in Efimov physics beyond the separable approximation
• Quasiparticle universes in Bose-Einstein condensates
• Bound States and Scattering Processes in the ^4He_3 Atomic System
• Dephasing-assisted parameter estimation in the presence of dynamical decoupling
• Theory of evaporative cooling with energy-dependent elastic scattering cross section and application to metastable helium
• Atom-Molecule Laser Fed by Stimulated Three-Body Recombination
• Inhibiting Three-Body Recombination in Atomic Bose-Einstein Condensates
• Single-domain Bose condensate magnetometer achieves energy resolution per bandwidth below $\hslash$
• Auxiliary field approach to dilute Bose gases with tunable interactions
• Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials
• Stability of the homogeneous Bose-Einstein condensate at large gas parameter
• Collapse of a Bose-Einstein condensate induced by fluctuations of the laser intensity
• Revivals in the attractive BEC in a double-well potential and their decoherence
• Deep inelastic scattering on ultracold gases
• Ultra-low energy scattering of a He atom off a He dimer
• Stable p-wave resonant two-dimensional Fermi-Bose dimers
• Three-Body Losses in Trapped Bose-Einstein Condensed Gases
• Equations of state from individual one-dimensional Bose gases
• Three-Body Recombination of Ultracold Microwave-Shielded Polar Molecules
• Magnetic-field dependent trap loss of ultracold metastable helium
• Weakly bound atomic trimers in ultracold traps
• Collapse in ultracold Bose Josephson junctions
• Decay of quantum sensitivity due to three-body loss in Bose-Einstein condensates
• A Molecular Micromaser
• An elementary exposition of the Efimov Effect
• Mesoscopic quantum superposition states of weakly-coupled matter-wave solitons
• Shift of the molecular bound state threshold in dense ultracold Fermi gases with Feshbach resonance
• Transverse laser modes in Bose-Einstein condensates
• Efimov states in atom-molecular collisions
• A mobile ion in a Fermi sea
• Characterisation of the dynamical quantum state of a zero temperature Bose-Einstein condensate
• A mixed dimensional Bose polaron
• Scattering Hypervolume of Spin-Polarized Fermions
• Properties of a Dilute Bose Gas near a Feshbach Resonance
• Three-Body Scattering Hypervolume of Particles with Unequal Masses
• Rapid generation of all-optical ${}^{39}$K Bose-Einstein condensates using a low-field Feshbach resonance
• Integral representation of one dimensional three particle scattering for delta function interactions
• Differential Form of the Skornyakov--Ter-Martirosyan Equations
• Accumulation and thermalization of cold atoms in a finite-depth magnetic trap
• Equation of state and contact of a strongly interacting Bose gas in the normal state
• Effect of atomic transfer on the decay of a Bose-Einstein condensate
• Stabilization against collapse of 2D attractive Bose-Einstein condensates with repulsive, three-body interactions
• Shedding Light on Three-Body Recombination in an Ultracold Atomic Gas
• Temperature dependence of an Efimov resonance in ${}^{39}\mathrm{K}$
• The three-body recombination of a condensed Bose gas near a Feshbach resonance
• Experimental realization of BCS-BEC crossover physics with a Fermi gas of atoms
• Thermalization of a Trapped Single Atom with an Atomic Thermal Bath
• Three-Body Problem of Bosons nearby a d-wave Resonance
• Spin critical opalescence in zero temperature Bose-Einstein Condensates
• Universality in Ultra-Cold Few- and Many-Boson Systems
• Stability and Anomalous Compressibility of Bose Gases Near Resonance: The scale-dependent interactions and thermal effects
• Strong interaction induced dimensional crossover in 1D quantum gas
• Quench dynamics of a Bose-Einstein condensate under synthetic spin-orbit coupling
• Entanglement Generation and Dynamics for a Bose-Hubbard model in a Double-Well Potential
• Two-mode Phonon Squeezing in Bose-Einstein Condensates for Gravitational Wave Detection
• Tunable Molecular Interactions Near an Atomic Feshbach Resonance: Stability and Collapse of a Molecular Bose-Einstein Condensate
• Faddeev equations in one-dimensional problems with resonant interactions
• Scattering of two particles in a 1D lattice
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Cold Atoms in Driven Optical Lattices