Related Experiment Video
Updated: Jul 6, 2026

11:21
Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
Published on: March 30, 2017
Ultracold inelastic collisions in two dimensions
Z Li1, S V Alyabyshev, R V Krems
1Department of Chemistry, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada.
Physical Review Letters
|March 21, 2008
Summary
Ultracold atom collisions in 1D confinement show 2D energy dependence, suppressing reactions. Controlling inelastic collisions is possible by adjusting external field orientation.
Area of Science:
- Atomic and Molecular Physics
- Quantum Chemistry
- Condensed Matter Physics
Background:
- Ultracold atoms and molecules are crucial for quantum simulations and precision measurements.
- Understanding inelastic collisions is vital for controlling chemical reactions and quantum states.
- Confinement geometries significantly influence atomic and molecular interactions.
Purpose of the Study:
- To investigate the energy dependence of inelastic collision cross sections for ultracold atoms/molecules in a harmonic potential.
- To determine if 1D strong confinement suppresses chemical reactions and inelastic collisions.
- To provide a numerical proof of threshold collision laws in 2D.
Main Methods:
- Theoretical modeling of ultracold atom/molecule collisions.
- Numerical simulations of systems confined by harmonic potentials.
- Analysis of collision cross-section energy dependence.
Main Results:
- Inelastic collision cross sections in 1D confinement exhibit the same energy dependence as in 2D.
- Strong 1D confinement can suppress chemical reactions and inelastic collisions in ultracold gases.
- Numerical proof of 2D threshold collision laws is established.
- Inelastic collisions in weak electromagnetic fields can be controlled via external field axis orientation.
Conclusions:
- 1D confinement effectively mimics 2D behavior for ultracold collision cross sections.
- Suppression of reactions and collisions in 1D offers new control mechanisms.
- Tunable control over inelastic collisions using electromagnetic fields is demonstrated.
Related Concept Videos
Elastic Collisions: Introduction
An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
Elastic Collisions: Case Study
Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...
Types of Collisions - II
When two or more objects collide with each other, they can stick together to form one single composite object (after collision). The total mass of the object after the collision is the sum of the masses of the original objects, and it moves with a velocity dictated by the conservation of momentum. Although the system's total momentum remains constant, the kinetic energy decreases, and thus such a collision is an inelastic collision. Most of the collisions between objects in daily life are...
Collisions in Multiple Dimensions: Introduction
It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a problem,...
Types Of Collisions - I
When two objects come in direct contact with each other, it is called a collision. During a collision, two or more objects exert forces on each other in a relatively short amount of time. A collision can be categorized as either an elastic or inelastic collision. If two or more objects approach each other, collide and then bounce off, moving away from each other with the same relative speed at which they approached each other, the total kinetic energy of the system is said to be conserved. This...
Collisions in Multiple Dimensions: Problem Solving
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...

