Efimov resonance position near a narrow Feshbach resonance in a 
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 mixture

Li, Ang; Yudkin, Yaakov; Julienne, Paul S.; Khaykovich, Lev

doi:10.1103/physreva.105.053304

Cited by 6 publications

(4 citation statements)

References 42 publications

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“…a Feshbach resonance [25]. As originally suggested by Petrov [26], and more recently supported by more and more experimental evidence [21,27,28], the universal properties of Efimov states with a tuned scattering length depend on the strength of the coupling between the closed molecular channel and the open scattering channel, or, in other words, the width of the resonance. This has inspired theoretical treatments that explicitly include the coupling between the two channels at the two-body level.…”

Section: Introductionmentioning

confidence: 73%

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The Faddeev and Schrödinger approaches to Efimov states—a numerical comparison

Tempest,

Jonsell

2023

J. Phys. B: At. Mol. Opt. Phys.

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We compare eﬀective hyperspherical three-body potentials calculated using the S-wave part of the Faddeev equations to calculations using the full Schrödinger equation. As two-body model potential we test both a short-range potential and a Lennard-Jones potential with van der Waals tail. In the former case we ﬁnd excellent agreement between the two methods for the lowest adiabatic state, indicating that the Faddeev method can be a useful tool also for numerical computations. For excited states the two methods show important diﬀerences, but agree for hyperradii larger than about ﬁve times the range of the potential (independent of the value of the scattering length and of the number of bound states). For the van der Waals potential, we focus on how well the Faddeev method reproduces the so-called van der Waals universality. We ﬁnd that indeed the universality is manifest also using this method, but at a slightly diﬀerent value of the universal parameter κ*. We further derive an eﬃcient method to solve the integro-diﬀerential equation arising in the Faddeev method.

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Section: Introductionmentioning

confidence: 73%

“…This set of coupled equations could in principle be solved by evaluating the couplings between different l:s, using the relations ( 27) and (28) to transform the arguments of the Legendre functions. If enough l-values are included the results should be the same as given by the Schrödinger equation.…”

Section: Sfm 231 Hyperanglesmentioning

confidence: 99%

The Faddeev and Schrödinger approaches to Efimov states—a numerical comparison

Tempest,

Jonsell

2023

J. Phys. B: At. Mol. Opt. Phys.

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“…This Efimov-van der Waals universality relates the three-body parameter to the van der Waals length R vdW of the underlying two-body potential [12][13][14]. While this holds for broad resonances [15][16][17][18], in the vicinity of narrow resonances the three-body parameter was shown to deviate from such universality [19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 95%

“…Note that together with the previously developed model with one open atomic and two closed molecular channels, used for reproducing overlapping Feshbach resonances [1,22], the current treatment complements the description of the complexity of the bb-channel in 7 Li within the well-defined framework of the simplified theory. Thus, a meaningful comparison with the experimental results is performed in Sec.…”

Section: Introductionmentioning

confidence: 98%

Loosely bound few-body states in a spin-1 gas with near-degenerate continua

2023

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A distinguishing feature of ultracold collisions of bosonic lithium atoms is the presence of two neardegenerate two-body continua. The influence of such a near-degeneracy on the few-body physics in the vicinity of a narrow Feshbach resonance is investigated within the framework of a minimal model with two atomic continua and one closed molecular channel. The model allows analysis of the spin composition of loosely bound dimers and trimers. In the two-body sector the wellestablished coupled-channels calculations phenomenology of lithium is qualitatively reproduced, and its particularities are emphasized and clarified. In the three-body sector we find that the Efimov trimer energy levels follow a different functional form as compared to a single continuum scenario while the thresholds remain untouched. This three-channel model with two atomic continua complements our earlier developed three-channel model with two molecular channels [1] and suggests that the experimentally observed exotic behavior of the first excited Efimov energy level [2] is most probably caused by the short-range details of the interaction potential.

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Effect of Background Scattering on Efimov Scenario for Overlapping Narrow Feshbach Resonances

Hamodi-Gzal,

Khaykovich

2024

Few-Body Syst

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Efimov physics in the vicinity of two overlapping narrow Feshbach resonances can be explored within a framework of a three-channel model where a non-interacting open channel is coupled to two closed molecular channels. Here, we determine how it compares to the extended two-channel model, which includes an open channel with finite background scattering and a single molecular channel. We identify the parameter range in which the three-channel model surpasses the extended two-channel model. Furthermore, the three-channel model is extended to include background scattering, and then both models are applied to the experimentally relevant system of bosonic lithium atoms polarized on two different energy levels, with an isolated and two overlapping narrow Feshbach resonances, respectively. We confirm, in agreement with previous studies, that being small, the background scattering length in lithium has a negligible effect on the Efimov features in the case of isolated resonance. However, in the case of overlapping Feshbach resonances, the inclusion of background scattering improves the performance of the theory with respect to the experimentally measured position of the Efimov resonance.

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Efimov resonance position near a narrow Feshbach resonance in a Li6−Cs133 mixture

Cited by 6 publications

References 42 publications

The Faddeev and Schrödinger approaches to Efimov states—a numerical comparison

The Faddeev and Schrödinger approaches to Efimov states—a numerical comparison

Loosely bound few-body states in a spin-1 gas with near-degenerate continua

Effect of Background Scattering on Efimov Scenario for Overlapping Narrow Feshbach Resonances

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