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Trapped Ion Quantum Computing

Quantum defect model of a reactive collision at finite temperature

arXiv
Authors: Krzysztof Jachymski, Michał Krych, Paul S. Julienne, Zbigniew Idziaszek

Year

2014

Paper ID

48340

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

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.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • We consider a general problem of inelastic collision of particles interacting with power-law potentials.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1407.8030 [2] arXiv https://arxiv.org/abs/1407.8030 [3] Publisher https://arxiv.org/abs/1407.8030

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