Long-lived complexes and chaos in ultracold molecular collisions

  title={Long-lived complexes and chaos in ultracold molecular collisions},
  author={James F E Croft and John L. Bohn},
  journal={Physical Review A},
Estimates for the lifetime of collision complexes formed during ultracold molecular collisions based on density-of-states arguments are shown to be consistent with similar estimate based on classical trajectory calculations. In the classical version, these collisions are shown to exhibit chaos, and their fractal dimensions are calculated versus collision energy. From these results, a picture emerges that ultracold collisions are classically ergodic, justifying the density-of-states estimates… 

Figures and Tables from this paper

Unified model of ultracold molecular collisions

A scattering model is developed for ultracold molecular collisions, which allows inelastic processes, chemical reactions, and complex formation to be treated in a unified way. All these scattering

Universality and chaoticity in ultracold K+KRb chemical reactions

This work maps out an accurate ab initio ground-state potential energy surface of the K2Rb complex in full dimensionality and reports numerically-exact quantum-mechanical reaction dynamics, revealing a chaotic distribution for the short-range collision complex that plays a key role in governing the reaction outcome.

Classical Simulations of Ultracold Chemical Reactions

Using an 8th order symplectic integration routine, we develop a program which calculates the trajectories of N particles in a D-dimensional phase space. These trajectories are analyzed to determine

Anomalous Lifetimes of Ultracold Complexes Decaying into a Single Channel: What's Taking So Long in There?

We investigate the lifetimes of complexes formed in ultracold molecule collisions. Employing both transition-state-theory and an optical model approach we examine processes that can extend the

Collision lifetimes of polyatomic molecules at low temperatures: benzene-benzene vs benzene-rare gas atom collisions.

We use classical trajectory calculations to study the effects of the interaction strength and the geometry of rigid polyatomic molecules on the formation of long-lived collision complexes at low

Theory of Long-Range Ultracold Atom-Molecule Photoassociation.

This Letter presents a theoretical description of the photoassociation of ultracold atoms and molecules to create Ultracold excited triatomic molecules, thus being a novel example of a light-assisted ultracolds chemical reaction.

Universal Probability Distributions of Scattering Observables in Ultracold Molecular Collisions.

It is shown that the probability distributions that an observable is in a certain range of values can be obtained by averaging the results of scattering calculations with much smaller basis sets than required for calculations of individual scattering cross sections.

Few-Body Physics of Ultracold Atoms and Molecules with Long-Range Interactions

The quantum mechanical few-body problem at ultracold energies poses severe challenges to theoretical techniques, particularly when long-range interactions are present that decay only as a power-law

Full-dimensional quantum scattering calculations on ultracold atom-molecule collisions in magnetic fields: The role of molecular vibrations

Rigorous quantum scattering calculations on ultracold molecular collisions in external fields present an outstanding computational problem due to strongly anisotropic atom-molecule interactions that

Model for scattering with proliferating resonances: Many coupled square wells

We present a multichannel model for elastic interactions, composed of an arbitrary number of coupled finite square-well potentials, and derive semianalytic solutions for its scattering behavior.



Chaos in dynamical systems

Preface 1. Introduction and overview 2. One-dimensional maps 3. Strange attractors and fractal dimensions 4. Dynamical properties of chaotic systems 5. Nonattracting chaotic sets 6. Quasiperiodicity


  • Rev. A 85, 062712
  • 2012


  • Rev. A 87, 012709
  • 2013

Chaos in dynamical systems (Cambridge

  • 2002


  • Rev. E 79, 026215
  • 2009

New J

  • Phys. 11, 055049
  • 2009


  • Rev. A 82, 010502
  • 2010

Science 156

  • 636
  • 1967


  • 20, 352
  • 1952


  • Rev. 118, 349
  • 1960