Quantum defect model of a reactive collision at finite temperature

Abstract

We consider a general problem of inelastic collision of particles interacting with power-law potentials. Using quantum defect theory we derive an analytical formula for the energy-dependent complex scattering length, valid for arbitrary collision energy, and use it to analyze the elastic and reactive collision rates. Our theory is applicable for both universal and non-universal collisions. The former corresponds to the unit reaction probability at short range, while in the latter case the reaction probability is smaller than one. In the high-energy limit we present a method that allows to incorporate quantum corrections to the classical reaction rate due to the shape resonances and the quantum tunneling.

arXiv commentfollowup to arXiv:1301.5857

References in corpus (33)

• Quantum computation with trapped polar molecules
• 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
• Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
• Observation of Quantum Effects in sub Kelvin Cold Reactions
• Reactions of ultracold alkali metal dimers
• Universal rate constants for reactive collisions of ultracold molecules
• A continuous source of translationally cold dipolar molecules
• Coherent optical transfer of Feshbach molecules to a lower vibrational state
• Evaporative cooling of the dipolar radical OH
• Millikelvin Reactive Collisions between Sympathetically-Cooled Molecular Ions and Laser-Cooled Atoms in an Ion-Atom Hybrid Trap
• Statistical Aspects of Ultracold Resonant Scattering
• Quantum theory of ultracold atom-ion collisions
• 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
• Feshbach resonances, weakly bound molecular states and coupled-channel potentials for cesium at high magnetic fields
• Far from equilibrium quantum magnetism with ultracold polar molecules
• Multichannel quantum-defect theory for slow atomic collisions
• 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
• Multichannel quantum-defect theory for ultracold atom-ion collisions
• Universal model for exoergic bimolecular reactions and inelastic processes
• A Simple Quantum Model of Ultracold Polar Molecule Collisions
• Quantum Simulations of Extended Hubbard Models with Dipolar Crystals
• Quantum theory of reactive collisions for 1/r^n potentials
• 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
• Quantum Defect Theory for High Partial Wave Cold Collisions
• Quantum-defect theory for $-1/r^4$ type of interactions
• Study of the Ne(^3P_2) + CH_3F Electron Transfer Reaction below 1 Kelvin
• The Molecular Hubbard Hamiltonian: Field Regimes and Molecular Species
• Multichannel quantum defect theory for ro-vibrational transitions in ultracold molecule-molecule collisions

Cited by in corpus (18)

• Cold hybrid ion-atom systems
• Unified model of ultracold molecular collisions
• Cold atomic and molecular collisions: approaching the universal loss regime
• Signature of the $s$-wave regime high above ultralow temperatures
• Quantum-State Controlled Penning Ionization Reactions between Ultracold Alkali and Metastable Helium Atoms
• Collisions in a dual-species magneto-optical trap of molecules and atoms
• Beyond universality: parametrizing ultracold complex-mediated reactions using statistical assumptions
• Asymptotic model for shape resonance control of diatomics by intense non-resonant light: Universality in the single-channel approximation
• 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
• Vibrational quenching of cold molecular ions immersed in their parent gas
• Limitations of coupled cluster approximations for highlyaccurate investigations of Rb${}_2^{+}$
• Reactive collisions of two ultracold particles in a harmonic trap
• High-accuracy Rb${}_2^{+}$ interaction potentials based on coupled cluster calculations
• Quantum suppression of cold reactions far from the s-wave energy limit
• Exact Thermodynamics For Weakly Interacting Normal-Phase Quantum Gases: Equations of State For All Partial Waves
• Universality and threshold laws for collision lifetimes at ultralow temperatures
• Analogue Black Holes in Reactive Molecules