Energy-scaling of the product state distribution for three-body recombination of ultracold atoms
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866913353185624064 |
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| author | Haze, Shinsuke D'Incao, José P. Dorer, Dominik Li, Jinglun Deiß, Markus Tiemann, Eberhard Julienne, Paul S. Denschlag, Johannes Hecker |
| author_facet | Haze, Shinsuke D'Incao, José P. Dorer, Dominik Li, Jinglun Deiß, Markus Tiemann, Eberhard Julienne, Paul S. Denschlag, Johannes Hecker |
| contents | Three-body recombination is a chemical reaction where the collision of three atoms leads to the formation of a diatomic molecule. In the ultracold regime it is expected that the production rate of a molecule generally decreases with its binding energy $E_b$, however, its precise dependence and the physics governing it have been left unclear so far. Here, we present a comprehensive experimental and theoretical study of the energy dependency for three-body recombination of ultracold Rb. For this, we determine production rates for molecules in a state-to-state resolved manner, with the binding energies $E_b$ ranging from 0.02 to 77 GHz$\times h$. We find that the formation rate approximately scales as $E_b^{-α}$, where $α$ is in the vicinity of 1. The formation rate typically varies only within a factor of two for different rotational angular momenta of the molecular product, apart from a possible centrifugal barrier suppression for low binding energies. In addition to numerical three-body calculations we present a perturbative model which reveals the physical origin of the energy scaling of the formation rate. Furthermore, we show that the scaling law potentially holds universally for a broad range of interaction potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03834 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Energy-scaling of the product state distribution for three-body recombination of ultracold atoms Haze, Shinsuke D'Incao, José P. Dorer, Dominik Li, Jinglun Deiß, Markus Tiemann, Eberhard Julienne, Paul S. Denschlag, Johannes Hecker Atomic Physics Quantum Physics Three-body recombination is a chemical reaction where the collision of three atoms leads to the formation of a diatomic molecule. In the ultracold regime it is expected that the production rate of a molecule generally decreases with its binding energy $E_b$, however, its precise dependence and the physics governing it have been left unclear so far. Here, we present a comprehensive experimental and theoretical study of the energy dependency for three-body recombination of ultracold Rb. For this, we determine production rates for molecules in a state-to-state resolved manner, with the binding energies $E_b$ ranging from 0.02 to 77 GHz$\times h$. We find that the formation rate approximately scales as $E_b^{-α}$, where $α$ is in the vicinity of 1. The formation rate typically varies only within a factor of two for different rotational angular momenta of the molecular product, apart from a possible centrifugal barrier suppression for low binding energies. In addition to numerical three-body calculations we present a perturbative model which reveals the physical origin of the energy scaling of the formation rate. Furthermore, we show that the scaling law potentially holds universally for a broad range of interaction potentials. |
| title | Energy-scaling of the product state distribution for three-body recombination of ultracold atoms |
| topic | Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2211.03834 |