A quasiclassical method for calculating the density of states of ultracold collision complexes

Abstract

We derive a quasiclassical expression for the density of states (DOS) of an arbitrary, ultracold, $N$-atom collision complex, for a general potential energy surface (PES). We establish the accuracy of our quasiclassical method by comparing to exact quantum results for the K${}_2$-Rb and NaK-NaK systems, with isotropic model PESs. Next, we calculate the DOS for an accurate NaK-NaK PES to be 0.124~$\mu$K${}^{-1}$, with an associated Rice-Ramsperger-Kassel-Marcus (RRKM) sticking time of 6.0~$\mu$s. We extrapolate the DOS and sticking times to all other polar bialkali-bialkali collision complexes by scaling with atomic masses, equilibrium bond lengths, dissociation energies, and dispersion coefficients. The sticking times calculated here are two to three orders of magnitude shorter than those reported by Mayle et al. [Phys. Rev. A 85, 062712 (2012)]. We estimate dispersion coefficients and collision rates between molecules and complexes. We find that the sticking-amplified three-body loss mechanism is not likely the cause of the losses observed in the experiments.

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Cited by in corpus (41)

• Direct observation of bimolecular reactions of ultracold KRb molecules
• Photo-induced two-body loss of ultracold molecules
• Loss of ultracold RbCs molecules via optical excitation of long-lived two-body collision complexes
• Bimolecular chemistry in the ultracold regime
• Collisions of ultracold molecules in bright and dark optical dipole traps
• State-to-state control of ultracold molecular reactions
• Probing photoinduced two-body loss of ultracold non-reactive bosonic ${}^{23}$Na${}^{87}$Rb and ${}^{23}$Na${}^{39}$K molecules
• Ultracold Sticky Collisions: Theoretical and Experimental Status
• Collisions Between Ultracold Molecules and Atoms in a Magnetic Trap
• A Feshbach resonance in collisions between ultracold ground state molecules
• Field-linked resonances of polar molecules
• Microwave shielding of ultracold polar molecules with imperfectly circular polarization
• Magnetic Feshbach resonances in collisions of ${}^{23}$Na${}^{40}$K with ${}^{40}$K
• Unified model of ultracold molecular collisions
• Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
• Microwave shielding with far-from-circular polarization
• Steering ultracold reactions through long-lived transient intermediates
• Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
• Resonant and first-order dipolar interactions between ultracold molecules in static and microwave electric fields
• Collisional losses of ultracold molecules due to intermediate complex formation
• Resonant control of elastic collisions between ${}^{23}$Na${}^{40}$K molecules and ${}^{40}$K atoms
• Spectrum of Feshbach resonances in NaLi $+$ Na collisions
• Hyperfine-to-rotational energy transfer in ultracold atom-molecule collisions
• Observation of resonant dipolar collisions in ultracold ${}^{23}$Na${}^{87}$Rb rotational mixtures
• Ab initio calculation of the spectrum of Feshbach resonances in NaLi + Na collisions
• Two-photon optical shielding of collisions between ultracold polar molecules
• Electric field dependence of complex-dominated ultracold molecular collisions
• Symmetry breaking in sticky collisions between ultracold molecules
• Collisions of Spin-polarized YO Molecules for Single Partial Waves
• Dynamics of a buffer-gas-loaded, deep optical trap for molecules
• Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap
• Time delays in ultracold atomic and molecular collisions
• Resonances in non-universal dipolar collisions
• Sticking lifetime of ultracold CaF molecules in triplet interactions
• Ultracold Interactions between Ions and Polar Molecules
• Engineering long-range interactions between ultracold atoms with light
• Trap-induced atom-ion complexes: a time-independent approach
• Product-state distribution after isotopic substitution in ultracold atom-molecule collisions
• Molecule-molecule and atom-molecule collisions with ultracold RbCs molecules
• Lossy Quantum Defect Theory of Ultracold Molecular Collisions
• Formation of ultracold triatomic molecules by electric microwave association