Universal ultracold collision rates for polar molecules of two alkali-metal atoms

Abstract

Universal collision rate constants are calculated for ultracold collisions of two like bosonic or fermionic heteronuclear alkali-metal dimers involving the species Li, Na, K, Rb, or Cs. Universal collisions are those for which the short range probability of a reactive or quenching collision is unity such that a collision removes a pair of molecules from the sample. In this case, the collision rates are determined by universal quantum dynamics at very long range compared to the chemical bond length. We calculate the universal rate constants for reaction of the reactive dimers in their ground vibrational state $v=0$ and for vibrational quenching of non-reactive dimers with $v\ge 1$. Using the known dipole moments and estimated van der Waals coefficients of each species, we calculate electric field dependent loss rate constants for collisions of molecules tightly confined to quasi-two-dimensional geometry by a one-dimensional optical lattice. A simple scaling relation of the quasi-two-dimensional loss rate constants with dipole strength, trap frequency and collision energy is given for like bosons or like fermions. It should be possible to stabilize ultracold dimers of any of these species against destructive collisions by confining them in a lattice and orienting them with electric field of less than 20 kV/cm.

12 pages, 8 figures

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Cited by in corpus (56)

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• Universalities in ultracold reactions of alkali polar molecules
• A Feshbach resonance in collisions between ultracold ground state molecules
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• Feshbach resonances, molecular bound states and prospects of ultracold molecule formation in mixtures of ultracold K and Cs
• Molecular Collisions: from Near-cold to Ultra-cold
• Towards improved loading, cooling, and trapping of molecules in magneto-optical traps
• Layers of Cold Dipolar Molecules in the Harmonic Approximation
• Reactive collisions in confined geometries
• The Molecular Hubbard Hamiltonian: Field Regimes and Molecular Species
• Polar molecule reactive collisions in quasi-1D systems
• Lifetime of Feshbach dimers in a Fermi-Fermi mixture of ${}^6$Li and ${}^{40}$K
• Long range forces between polar alkali diatoms aligned by external electric fields
• Spectrum of Feshbach resonances in NaLi $+$ Na collisions
• Deviation from Universality in Collisions of Ultracold ${}^6$Li${}_2$ Molecules
• Prospects for ultracold polar and magnetic chromium-closed-shell-atom molecules
• Threshold resonance effects in reactive processes
• Two-Photon Spectroscopy of the NaLi Triplet Ground State
• Total angular momentum representation for atom-molecule collisions in electric fields
• Ultracold rare-earth magnetic atoms with an electric dipole moment
• Resonant control of polar molecules in an optical lattice
• 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${}_2$($a^3{\Sigma }_u^{+}$)
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• Lattice model parameters for ultracold nonreactive molecules: chaotic scattering and its limitations
• Classical approach to collision complexes in ultracold chemical reactions
• Hyperfine dependent atom-molecule loss analyzed by the analytic solution of few-body loss equations
• A general approach to state-dependent optical tweezer traps for polar molecules
• Long-lived fermionic Feshbach molecules with tunable $p$-wave interactions
• Microwave coherent control of ultracold ground-state molecules formed by short-range photoassociation
• Two-body loss rates for reactive collisions of cold atoms
• Macroscopic amplification of electroweak effects in molecular Bose-Einstein condensates
• Reactive collisions of two ultracold particles in a harmonic trap
• Ultracold Interactions between Ions and Polar Molecules
• Rotational properties of two interacting cold polar molecules: linear, symmetric, and asymmetric tops
• Spin Waves and Dielectric Softening of Polar Molecule Condensates
• p-wave Superfluid Phases of Fermi Molecules in a Bilayer Lattice Array
• Low-energy scattering of ultracold atoms by a dielectric nanosphere
• Quasi-1D ultracold rigid-rotor collisions : reactive and non-reactive cases
• Quantum reactive scattering in the long-range ion-dipole potential
• Optically trapped Feshbach molecules of fermionic ${}^{161}$Dy and ${}^{40}$K: Role of light-induced and collisional losses
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Universality and threshold laws for collision lifetimes at ultralow temperatures