Efimov effect for heteronuclear three-body systems at positive scattering length and finite temperature

Samuel B. Emmons; Daekyoung Kang; Bijaya Acharya; Lucas Platter

doi:10.1103/PhysRevA.96.032706

Efimov effect for heteronuclear three-body systems at positive scattering length and finite temperature

Samuel B. Emmons, Daekyoung Kang, Bijaya Acharya, Lucas Platter

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2 Scopus citations

Abstract

We study the recombination process of three atoms scattering into an atom and diatomic molecule in heteronuclear mixtures of ultracold atomic gases with large and positive interspecies scattering length at finite temperature. We calculate the temperature dependence of the three-body recombination rates by extracting universal scaling functions that parametrize the energy dependence of the scattering matrix. We compare our results to experimental data for the K40-Rb87 mixture and make a prediction for Li6-Rb87. We find that contributions from higher partial wave channels significantly impact the total rate and, in systems with particularly large mass imbalance, can even obliterate the recombination minima associated with the Efimov effect.

Original language	English
Article number	032706
Journal	Physical Review A
Volume	96
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.96.032706
State	Published - Sep 8 2017
Externally published	Yes

Funding

We thank Ruth Bloom for providing us with the recombination data of Ref. [39] and Eric Braaten for comments on the manuscript. This work was supported by the U.S. Department of Energy through the Office of Science, Office of Nuclear Physics under Contracts No. DE-AC52-06NA25396 and No. DE-AC05-00OR22725, an Early Career Research Award, the LANL/LDRD Program, and the National Science Foundation under Grant No. PHY-1555030.

Funders	Funder number
LANL/LDRD
Office of Nuclear Physics	DE-AC05-00OR22725, DE-AC52-06NA25396
National Science Foundation	1555030
U.S. Department of Energy
Office of Science

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title = "Efimov effect for heteronuclear three-body systems at positive scattering length and finite temperature",

abstract = "We study the recombination process of three atoms scattering into an atom and diatomic molecule in heteronuclear mixtures of ultracold atomic gases with large and positive interspecies scattering length at finite temperature. We calculate the temperature dependence of the three-body recombination rates by extracting universal scaling functions that parametrize the energy dependence of the scattering matrix. We compare our results to experimental data for the K40-Rb87 mixture and make a prediction for Li6-Rb87. We find that contributions from higher partial wave channels significantly impact the total rate and, in systems with particularly large mass imbalance, can even obliterate the recombination minima associated with the Efimov effect.",

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AU - Emmons, Samuel B.

AU - Kang, Daekyoung

AU - Acharya, Bijaya

AU - Platter, Lucas

PY - 2017/9/8

Y1 - 2017/9/8

N2 - We study the recombination process of three atoms scattering into an atom and diatomic molecule in heteronuclear mixtures of ultracold atomic gases with large and positive interspecies scattering length at finite temperature. We calculate the temperature dependence of the three-body recombination rates by extracting universal scaling functions that parametrize the energy dependence of the scattering matrix. We compare our results to experimental data for the K40-Rb87 mixture and make a prediction for Li6-Rb87. We find that contributions from higher partial wave channels significantly impact the total rate and, in systems with particularly large mass imbalance, can even obliterate the recombination minima associated with the Efimov effect.

AB - We study the recombination process of three atoms scattering into an atom and diatomic molecule in heteronuclear mixtures of ultracold atomic gases with large and positive interspecies scattering length at finite temperature. We calculate the temperature dependence of the three-body recombination rates by extracting universal scaling functions that parametrize the energy dependence of the scattering matrix. We compare our results to experimental data for the K40-Rb87 mixture and make a prediction for Li6-Rb87. We find that contributions from higher partial wave channels significantly impact the total rate and, in systems with particularly large mass imbalance, can even obliterate the recombination minima associated with the Efimov effect.

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Efimov effect for heteronuclear three-body systems at positive scattering length and finite temperature

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