Ultracold molecules from ultracold atoms: a case study with the KRb molecule

Abstract

Ultracold collisions of cold atoms or molecules make the bound states of the collision complex formed from the two colliding species accessible for control and manipulation of the cold species or the complex. Such resonances are best treated by a resonant scattering theory, which in the ultracold domain can take advantage of the properties of the long-range potential and the methods of multichannel quantum defect theory. Coupled channels calculations on the threshold scattering states and bound states of the 40K87Rb molecule illustrate the ideas and methodology of quantum defect theory using the long-range potential and also demonstrate the spin properties of the bound states throughout the spectrum.

Paper for the Discussions of the Faraday Society, Number 142: Cold and Ultracold Molecules, April 15-17, 2009, Durham University, UK;Version 2 is accepted for publication with some typographical corrections and minor text and figure revisions for clarification

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• Universal rates for reactive ultracold polar molecules in reduced dimensions
• Strong dependence of ultracold chemical rates on electric dipole moments
• Precision test of statistical dynamics with state-to-state ultracold chemistry
• Strongly interacting ultracold polar molecules
• Universal ultracold collision rates for polar molecules of two alkali-metal atoms
• Universal model for exoergic bimolecular reactions and inelastic processes
• A Simple Quantum Model of Ultracold Polar Molecule Collisions
• Doublon dynamics and polar molecule production in an optical lattice
• Long-range interactions between polar alkali-metal diatoms in external electric fields
• Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes
• Quantum Defect Theory for High Partial Wave Cold Collisions
• Asymptotic Bound-state Model for Feshbach Resonances
• Analytical model of overlapping Feshbach resonances
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• Reaching the cold regime: S(^1D) + H_2 and the Role of Long-Range Interactions in Open Shell Reactive Collisions
• Molecular Collisions: from Near-cold to Ultra-cold
• Spin-conservation propensity rule for three-body recombination of ultracold Rb atoms
• Long-range interactions between ultracold atoms and molecules including atomic spin-orbit
• Proposal for the formation of ultracold deeply-bound RbSr dipolar molecules by all-optical methods
• Understanding chemical reactions in a quantum degenerate gas of polar molecules via complex formation
• Beyond universality: parametrizing ultracold complex-mediated reactions using statistical assumptions
• Dynamics of a buffer-gas-loaded, deep optical trap for molecules
• Laser Intensity Dependence of Photoassociation in Ultracold Metastable Helium
• Microscopy of an ultranarrow Feshbach resonance using a laser-based atom collider: A quantum defect theory analysis
• $C_6$ coefficients for interacting Rydberg atoms and alkali-metal dimers
• Multichannel Quantum Defect Theory for cold molecular collisions with a strongly anisotropic potential energy surface
• Impact of overlapping resonances on magnetoassociation of cold molecules in tight traps
• Two-body loss rates for reactive collisions of cold atoms
• Universal behavior in complex-mediated reactions: Dynamics of S(1D)+ o-D2 --> D + SD at low collision energies
• Precise Feshbach resonance spectroscopy using tight anharmonic traps
• Interaction of atomic quantum gases with a single carbon nanotube
• Reformulating Chemical Equilibrium in Reacting Quantum Gas Mixtures: Particle Number Conservation, Correlations and Fluctuations