Statistical product distributions for ultracold reactions in external fields

Abstract

The main limitation of most ultracold chemistry studies to date is the lack of an analysis of reaction products. Here, we discuss the first generally tractable, rigorous theoretical framework for computing statistical product-state distributions for ultracold reactions in external fields. We show that fields have two main effects on the products of a statistical reaction, by: (1) modifying the product energy levels thus potentially reshaping the product distributions; and/or (2) adding or removing product states by changing the reaction exothermicity. By analyzing these effects and the strength of the formalism to distinguish between different reaction mechanisms in benchmark reactions involving ${}^{40}$K and ${}^{87}$Rb species, we argue that statistical predictions will help understanding product formation and control, and lead developments to realize the full potential of ultracold chemistry.

arXiv comment8 pages, 4 figures. Version 2 expands the theory section and the discussion of the results presented in version 1

References in corpus (25)

• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Dipolar collisions of polar molecules in the quantum regime
• Controlling the quantum stereodynamics of ultracold bimolecular reactions
• Reactions of ultracold alkali metal dimers
• Quantum Chaos in Ultracold Collisions of Erbium
• Universal rate constants for reactive collisions of ultracold molecules
• Light-assisted ion-neutral reactive processes in the cold regime: radiative molecule formation vs. charge exchange
• Suppressing the loss of ultracold molecules via the continuous quantum Zeno effect
• Statistical Aspects of Ultracold Resonant Scattering
• The hyperfine energy levels of alkali metal dimers: ground-state polar molecules in electric and magnetic fields
• Strong dependence of ultracold chemical rates on electric dipole moments
• Dynamics of gas phase Ne${}^{\ast }$ + NH${}_3$ and Ne${}^{\ast }$ + ND${}_3$ Penning ionization at low temperatures
• Universal model for exoergic bimolecular reactions and inelastic processes
• A Simple Quantum Model of Ultracold Polar Molecule Collisions
• Electric field suppression of ultracold confined chemical rates
• Long-Lived Complexes, Ergodicity and Chaos in Ultracold Molecular Collisions
• Quantum theory of reactive collisions for 1/r^n potentials
• Van der Waals coefficients for systems with ultracold polar alkali-metal molecules
• Structure and thermochemistry of K${}_2$Rb, KRb${}_2$ and K${}_2$Rb${}_2$
• Quantum theory of chemical reactions in the presence of electromagnetic fields
• Chemical reactions of ultracold alkali-metal dimers in the lowest-energy ${}^3\Sigma$ state
• Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes
• The hyperfine energy levels of alkali metal dimers: ground-state homonuclear molecules in magnetic fields
• Product state control of bi-alkali chemical reactions
• Sympathetic cooling of fluorine atoms with ultracold atomic hydrogen

Cited by in corpus (20)

• Collisions of ultracold ^{23}Na^{87}Rb molecules with controlled chemical reactivities
• Bimolecular chemistry in the ultracold regime
• Precision test of statistical dynamics with state-to-state ultracold chemistry
• State-to-state control of ultracold molecular reactions
• Adimensional theory of shielding in ultracold collisions of dipolar rotors
• Long-lived complexes and signatures of chaos in ultracold K2+Rb collisions
• Theory of long-range ultracold atom-molecule photoassociation
• Energetics and control of ultracold isotope-exchange reactions between heteronuclear dimers in external fields
• 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
• Probing ultracold chemistry using ion spectrometry
• Microscopic derivation of multi-channel Hubbard models for ultracold nonreactive molecules in an optical lattice
• Magnetic tuning of ultracold barrierless chemical reactions
• Classical approach to collision complexes in ultracold chemical reactions
• Beyond universality: parametrizing ultracold complex-mediated reactions using statistical assumptions
• Vibrational quenching of cold molecular ions immersed in their parent gas
• Product-state distribution after isotopic substitution in ultracold atom-molecule collisions
• Ultracold coherent control of molecular collisions at a Förster resonance
• Quantum Reactive Scattering of Ultracold Atoms and Molecules: Universality and Chaotic Dynamics
• A model for nuclear spin product-state distributions of ultracold chemical reactions in magnetic fields