Efimov Physics in 6Li Atoms

Daekyoung Kang; Eric Braaten; H.-W. Hammer; Lucas Platter

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Efimov Physics in 6Li Atoms

Eric Braaten, H.-W. Hammer, Daekyoung Kang, Lucas Platter

Quantum Gases · Submitted 27 Aug 2009

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Using this parameter as the input, we calculate the universal predictions for the spectrum of Efimov states and for the 3-body recombination rate in the universal region above 600 G where all three scattering lengths are large.

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What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.14 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.39 · mentions code or data availability 0.02.

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A new narrow 3-atom loss resonance associated with an Efimov trimer crossing the 3-atom threshold has recently been discovered in a many-body system of ultracold 6Li atoms in the three lowest hyperfine spin states at a magnetic field near 895 G. O'Hara and coworkers have used measurements of the 3-body recombination rate in this region to determine the complex 3-body parameter associated with Efimov physics. Using this parameter as the input, we calculate the universal predictions for the spectrum of Efimov states and for the 3-body recombination rate in the universal region above 600 G where all three scattering lengths are large. We predict an atom-dimer loss resonance at (672 +/- 2) G associated with an Efimov trimer disappearing through an atom-dimer threshold. We also predict an interference minimum in the 3-body recombination rate at (759 +/- 1) G where the 3-spin mixture may be sufficiently stable to allow experimental study of the many-body system.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	A new narrow 3-atom loss resonance associated with an Efimov trimer crossing the 3-atom threshold has recently been discovered in a many-body system of ultracold 6Li atoms in the three lowest hyperfine spin states at a magnetic field near 895 G.	background 0.79	0.12	0.19	asserted 1.00
s1	O'Hara and coworkers have used measurements of the 3-body recombination rate in this region to determine the complex 3-body parameter associated with Efimov physics.	background 0.78	0.05	0.05	asserted 1.00
s2	Using this parameter as the input, we calculate the universal predictions for the spectrum of Efimov states and for the 3-body recombination rate in the universal region above 600 G where all three scattering lengths are large.	method 0.69	0.93	0.14	asserted 0.99
s3	We predict an atom-dimer loss resonance at (672 +/- 2) G associated with an Efimov trimer disappearing through an atom-dimer threshold.	result 0.99	0.89	0.24	asserted 0.89
s4	We also predict an interference minimum in the 3-body recombination rate at (759 +/- 1) G where the 3-spin mixture may be sufficiently stable to allow experimental study of the many-body system.	result 0.92	0.85	0.22	hedged possibility 0.87

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from analysis of existing data 0.46.

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The paper

Original abstract

A new narrow 3-atom loss resonance associated with an Efimov trimer crossing the 3-atom threshold has recently been discovered in a many-body system of ultracold 6Li atoms in the three lowest hyperfine spin states at a magnetic field near 895 G. O'Hara and coworkers have used measurements of the 3-body recombination rate in this region to determine the complex 3-body parameter associated with Efimov physics. Using this parameter as the input, we calculate the universal predictions for the spectrum of Efimov states and for the 3-body recombination rate in the universal region above 600 G where all three scattering lengths are large. We predict an atom-dimer loss resonance at (672 +/- 2) G associated with an Efimov trimer disappearing through an atom-dimer threshold. We also predict an interference minimum in the 3-body recombination rate at (759 +/- 1) G where the 3-spin mixture may be sufficiently stable to allow experimental study of the many-body system.

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2 arXiv papers cite this in 3 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 57 sentences without a confident label

Uses the method or tool of 1 paper

The 9 coupled STM equations for $A_ij (0,p;0)$ are [ref]

Three-body Recombination of Lithium-6 Atoms with Large Negative Scattering Lengths · STM Equations · 0.88

Uses data or values from 5 papers

Using the values of $κ_*$ and $η_*$ determined by O'Hara et al. [ref] , we can calculate the universal predictions for other aspects of Efimov physics for $^6$Li atoms in the high-field universal region.

Evidence for Ground- and Excited-State Efimov Trimers in a Three-State Fermi Gas · Measurements of Three-body Recombination · 0.98
A 3-parameter fit to the data from Ref. [ref] in the region $122 G < B < 485 G$ with an adjustable normalization factor determines the 3-body parameters $Λ= 436 a_0^-1$ and $η_* = 0.11$.

Collisional stability of a three-component degenerate Fermi gas · Three-body Recombination · 1.00
The pair scattering lengths $a_12$, $a_23$, and $a_13$ have Feshbach resonances near 834 G, 811 G, and 690 G, respectively [ref] .

Precise determination of $^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules · Lowest Hyperfine Spin States of $^6$Li Atoms · 0.97

Compares with 2 papers

One difference is that in Refs. [ref] the recombination rate was calculated only up to an overall normalization constant that was determined by fitting the data.

A possible Efimov trimer state in a 3-component lithium-6 mixture · Three-body Recombination · 1.00
One difference is that in Refs. [ref] the recombination rate was calculated only up to an overall normalization constant that was determined by fitting the data.

Three-body loss in lithium from functional renormalization · Three-body Recombination · 1.00

Cites as support 2 papers

This stability was verified in the recent experiments with $^6$Li atoms [ref] .

Collisional stability of a three-component degenerate Fermi gas · Dimer Relaxation · 0.98
This stability was verified in the recent experiments with $^6$Li atoms [ref] .

Three-body recombination in a three-state Fermi gas with widely tunable interactions · Dimer Relaxation · 0.98

Cites as background 9 papers

One simple choice for the 3-body parameter is a wavenumber $κ_*$ defined by the spectrum of 3-body bound states (Efimov trimers) in the unitary limit in which all three scattering lengths are infinite [ref] .

Universality in Few-body Systems with Large Scattering Length · Fermions with Three Spin States · 0.81
A narrow 3-atom loss resonance in the high-field region near 895 G was recently discovered by Williams et al. [ref] and by Jochim and coworkers [ref] .

Evidence for Ground- and Excited-State Efimov Trimers in a Three-State Fermi Gas · Measurements of Three-body Recombination · 0.82
The dependence of the three-body recombination rate on the scattering length was first calculated in Refs. [ref] .

Three-body recombination in Bose gases with large scattering length · Introduction · 0.92

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