Universal rate constants for reactive collisions of ultracold molecules

Abstract

A simple quantum defect model gives analytic expressions for the complex scattering length and threshold collision rates of ultracold molecules. If the probability of reaction in the short-range part of the collision is high, the model gives universal rate constants for s- and p-wave collisions that are independent of short-range dynamics. This model explains the magnitudes of the recently measured rate constants for collisions of two ultracold 40K87Rb molecules, or an ultracold 40K atom with the 40K87Rb molecule [Ospelkaus et al., Science 327, 853 (2010)].

4 pages, 2 figures; v2: final version, accepted for publication in Physical Review Letters

References in corpus (6)

• Cold and Ultracold Molecules: Science, Technology, and Applications
• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Quo vadis, cold molecules? - Editorial review
• Feshbach resonances in ultracold atomic and molecular collisions: threshold behaviour and suppression of poles in scattering lengths
• Inelastic collisions of ultra-cold heteronuclear molecules in an optical trap
• Strong dependence of ultracold chemical rates on electric dipole moments

Cited by in corpus (146)

• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Condensed Matter Theory of Dipolar Quantum Gases
• Controlling the quantum stereodynamics of ultracold bimolecular reactions
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• A Fermi Degenerate Gas of Polar Molecules
• Manipulation of Molecules with Electromagnetic Fields
• Cold hybrid ion-atom systems
• New frontiers with quantum gases of polar molecules
• Reaching Fermi degeneracy via universal dipolar scattering
• Evaporation of microwave-shielded polar molecules to quantum degeneracy
• Microwave shielding of ultracold polar molecules
• Collisions of ultracold ^{23}Na^{87}Rb molecules with controlled chemical reactivities
• Sticky collisions of ultracold RbCs molecules
• Collisional Cooling of Ultracold Molecules
• Controlling the scattering length of ultracold dipolar molecules
• Observation of Collisions between Two Ultracold Ground-State CaF Molecules
• Production of a dual-species Bose-Einstein condensate of Rb and Cs atoms
• Universal rates for reactive ultracold polar molecules in reduced dimensions
• Ultracold Dipolar Molecules Composed of Strongly Magnetic Atoms
• Laser cooled molecules
• Dynamics of gas phase Ne${}^{\ast }$ + NH${}_3$ and Ne${}^{\ast }$ + ND${}_3$ Penning ionization at low temperatures
• Universal ultracold collision rates for polar molecules of two alkali-metal atoms
• Multichannel quantum-defect theory for ultracold atom-ion collisions
• Universal model for exoergic bimolecular reactions and inelastic processes
• Control of reactive collisions by quantum interference
• A Simple Quantum Model of Ultracold Polar Molecule Collisions
• Atomic Bose-Einstein condensate to molecular Bose-Einstein condensate transition
• Dynamics of ultracold molecules in confined geometry and electric field
• Controlling a quantum gas of polar molecules in an optical lattice
• Ultracold Sticky Collisions: Theoretical and Experimental Status
• Quantum reactive scattering of ultracold NH($X{}^3{\Sigma }^{-}$) radicals in a magnetic trap
• Collisions Between Ultracold Molecules and Atoms in a Magnetic Trap
• Observation of orbiting resonances in He(3S1) + NH3 Penning ionization
• Universalities in ultracold reactions of alkali polar molecules
• Field-linked resonances of polar molecules
• Inelastic collisions and density-dependent excitation suppression in a ${}^{87}$Sr optical lattice clock
• A Feshbach resonance in collisions between ultracold ground state molecules
• Quantum theory of reactive collisions for 1/r^n potentials
• Optical Feshbach resonances: Field-dressed theory and comparison with experiments
• Van der Waals coefficients for systems with ultracold polar alkali-metal molecules
• Hamiltonian engineering of spin-orbit coupled fermions in a Wannier-Stark optical lattice clock
• Cold collision shift cancelation and inelastic scattering in a Yb optical lattice clock
• Polarization Enhanced Deep Optical Dipole Trapping of $\Lambda$-cooled Polar Molecules
• Resonant dipolar collisions of ultracold molecules induced by microwave dressing
• Multichannel Quantum Defect Theory for cold molecular collisions
• Reactions Between Layer-Resolved Molecules Mediated by Dipolar Exchange
• Long-range interactions between polar alkali-metal diatoms in external electric fields
• Microwave shielding of ultracold polar molecules with imperfectly circular polarization
• Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes
• Quantum Defect Theory for High Partial Wave Cold Collisions
• Tuning bimolecular chemical reactions by electric fields
• Analytical model of overlapping Feshbach resonances
• Ultracold chemistry with alkali-metal-rare-earth molecules
• Unified model of ultracold molecular collisions
• Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
• Statistical product distributions for ultracold reactions in external fields
• Cold atomic and molecular collisions: approaching the universal loss regime
• Energetics and control of ultracold isotope-exchange reactions between heteronuclear dimers in external fields
• Microwave shielding with far-from-circular polarization
• High density loading and collisional loss of laser cooled molecules in an optical trap
• Quantum spin state selectivity and magnetic tuning of ultracold chemical reactions of triplet alkali-metal dimers with alkali-metal atoms
• Ultracold nonreactive molecules in an optical lattice: connecting chemistry to many-body physics
• Quantum defect model of a reactive collision at finite temperature
• Ultracold ${}^{88}{\mathrm{Sr}}_2$ molecules in the absolute ground state
• Chemical pathways in ultracold reactions of SrF molecules
• Molecular Collisions: from Near-cold to Ultra-cold
• Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
• Towards improved loading, cooling, and trapping of molecules in magneto-optical traps
• Resonant and first-order dipolar interactions between ultracold molecules in static and microwave electric fields
• Magnetic field dependent interactions in an ultracold Li-Yb(${}^3$P${}_2$) mixture
• Collisional losses of ultracold molecules due to intermediate complex formation
• Probing open- and closed-channel p-wave resonances
• Magnetically tunable Feshbach resonances in Li + Yb(${}^3{P}_J$)
• Inelastic collisions of ultracold triplet Rb${}_{\text{2}}$ molecules in the rovibrational ground state
• Reactive collisions in confined geometries
• Resonant control of elastic collisions between ${}^{23}$Na${}^{40}$K molecules and ${}^{40}$K atoms
• Quantum Defect Theory for Cold Chemistry with Product Quantum State Resolution
• Electro-association of ultracold dipolar molecules into tetramer field-linked states
• Polar molecule reactive collisions in quasi-1D systems
• The Molecular Hubbard Hamiltonian: Field Regimes and Molecular Species
• Collisional Aspects of Bosonic and Fermionic Dipoles in Quasi-Two-Dimensional Confining Geometries
• Observation of resonant dipolar collisions in ultracold ${}^{23}$Na${}^{87}$Rb rotational mixtures
• Adiabatic Channel Capture Theory Applied to Cold Atom-Molecule Reactions: Li + CaH -> LiH + Ca at 1 K
• Long-range interactions between ultracold atoms and molecules including atomic spin-orbit
• Magnetic tuning of ultracold barrierless chemical reactions
• Ab initio calculation of the spectrum of Feshbach resonances in NaLi + Na collisions
• Universal bound and scattering properties for two dipoles
• Ultracold Chemistry and its Reaction Kinetics
• 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${}_2$($a^3{\Sigma }_u^{+}$)
• Classical approach to collision complexes in ultracold chemical reactions
• Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing
• Multichannel quantum defect theory for ro-vibrational transitions in ultracold molecule-molecule collisions
• Quantitative analysis of losses close to a d-wave open-channel Feshbach resonance in Potassium 39
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Prospects of forming high-spin polar molecules from ultracold atoms
• Spectroscopic determination of magnetic-field-dependent interactions in an ultracold Yb(3P2)-Li mixture
• Magnetic control of ultra-cold ${}^6$Li and ${}^{174}$Yb(${}^3{P}_2$) atom mixtures with Feshbach resonances
• Rotational-state dependence of interactions between polar molecules
• Electric field dependence of complex-dominated ultracold molecular collisions
• Quantum Monte Carlo study of the role of p-wave interactions in ultracold repulsive Fermi gases
• Long-range interactions between an atom in its ground S state and an open-shell linear molecule
• A general approach to state-dependent optical tweezer traps for polar molecules
• Beyond universality: parametrizing ultracold complex-mediated reactions using statistical assumptions
• Symmetry breaking in sticky collisions between ultracold molecules
• Collisions in a dual-species magneto-optical trap of molecules and atoms
• Understanding chemical reactions in a quantum degenerate gas of polar molecules via complex formation
• Observation of Bose-enhanced photoassociation products
• Quantum-State Controlled Penning Ionization Reactions between Ultracold Alkali and Metastable Helium Atoms
• Collisions of Spin-polarized YO Molecules for Single Partial Waves
• Chemical reactions of ultracold alkaline-earth-metal diatomic molecules
• An ultracold, optically trapped mixture of {87}Rb and metastable {4}He atoms
• Long-lived fermionic Feshbach molecules with tunable $p$-wave interactions
• Temperature-Dependent Contact of Weakly Interacting Single-Component Fermi Gases and Loss Rate of Degenerate Polar Molecules
• Multichannel Scattering and Loss Processes of Ultracold Atoms in Anisotropic Harmonic Waveguides
• $C_6$ coefficients for interacting Rydberg atoms and alkali-metal dimers
• Scheme for Deterministic Loading of Laser-Cooled Molecules into Optical Tweezers
• Coherent Three-Photon Excitation of the Strontium Clock Transition
• Spin Squeezing with Itinerant Dipoles: A Case for Shallow Lattices
• Multichannel Quantum Defect Theory for cold molecular collisions with a strongly anisotropic potential energy surface
• Universal behavior in complex-mediated reactions: Dynamics of S(1D)+ o-D2 --> D + SD at low collision energies
• Resonances in non-universal dipolar collisions
• Two-body loss rates for reactive collisions of cold atoms
• Quantum Zeno-based Detection and State Engineering of Ultracold Polar Molecules
• Ultracold collisions of molecules
• Spin dependent inelastic collisions between metastable state two-electron atoms and ground state alkali-atoms
• Reactive collisions of two ultracold particles in a harmonic trap
• Long-range interactions between ultracold atoms and molecules
• Multichannel quantum defect theory with a frame transformation for ultracold atom-molecule collisions in magnetic fields
• Ultracold and dense samples of ground-state molecules in lattice potentials
• Low-energy scattering of ultracold atoms by a dielectric nanosphere
• Exact Thermodynamics For Weakly Interacting Normal-Phase Quantum Gases: Equations of State For All Partial Waves
• Quasi-1D ultracold rigid-rotor collisions : reactive and non-reactive cases
• Ultracold collisions in the Yb-Li mixture system
• Revealing Energy Dependence of Quantum Defects via Two Heteronuclear Atoms in an Optical Tweezer
• Quantum Reactive Scattering of Ultracold Atoms and Molecules: Universality and Chaotic Dynamics
• Quantum reactive scattering in the long-range ion-dipole potential
• Effect of nuclear spin symmetry in cold and ultracold reactions: D + para/ortho-H${}_2$
• Roaming pathways and survival probability in real-time collisional dynamics of cold and controlled bialkali molecules
• Molecule-molecule and atom-molecule collisions with ultracold RbCs molecules
• CaF+CaF interactions in the ground and excited electronic states: implications for collisional losses
• Lossy Quantum Defect Theory of Ultracold Molecular Collisions
• Rigorous quantum calculations for atom-molecule chemical reactions in electric fields: from single to multiple partial wave regimes
• Hyperfine van der Waals repulsion between open-shell polar molecules
• Universality and threshold laws for collision lifetimes at ultralow temperatures
• Reformulating Chemical Equilibrium in Reacting Quantum Gas Mixtures: Particle Number Conservation, Correlations and Fluctuations
• Analogue Black Holes in Reactive Molecules