Ultracold Heteronuclear Three-Body Systems: How Diabaticity Limits the Universality of Recombination into Shallow Dimers

Giannakeas, P.; Greene, Chris H.

doi:10.1103/physrevlett.120.023401

Cited by 13 publications

(25 citation statements)

References 47 publications

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“…Furthermore, within the zero-range theory, Ref. [36] illustrated that the diabaticity of the three-body collisions imposes additional limitations on the universal properties of the Efimov spectrum, where mostly adiabatic collisions yield trimer states independent of the three-body parameter, as was pointed out in the case of Refs. [29,33].…”

Section: Introductionmentioning

confidence: 81%

“…For this purpose, we focus on the two lowest potential curves of HHL systems, which suffice to describe three-body recombination processes into shallow dimers, as was shown in Ref. [36], permitting the derivation of closed-form expressions for the S-matrix.…”

Section: General Considerations and Methodsmentioning

confidence: 99%

“…As was shown in Ref. [36], the S 12 2 matrix element can be obtained analytically within the two-channel approximation by combining the Landau-Zener physics with the Jeffreys-Wentzel-Kramers-Brillouin (JWKB) approach. The main constituents of this semi-classical approach are depicted in Figure 1.…”

Section: Hhmentioning

confidence: 99%

“…Additionally, Ref. [36] showed that three-body recombination into a shallow heavyheavy dimer possesses a unique property that only mass-imbalanced systems exhibit, namely the co-existence of Efimov resonances with Stückelberg suppression effects in the same range of scattering lengths. In this work, we further study this particular attribute of HHL systems and demonstrate that the corresponding Efimov resonances in the recombination rate coefficient plotted versus scattering length can display an asymmetric profile, which can be quantified by the Fano profile formula.…”

Section: Introductionmentioning

confidence: 99%

“…In this work, we further study this particular attribute of HHL systems and demonstrate that the corresponding Efimov resonances in the recombination rate coefficient plotted versus scattering length can display an asymmetric profile, which can be quantified by the Fano profile formula. In particular, our analysis employs the adiabatic hyperspherical framework for zero-range two-body interactions, which is combined with a fully semi-classical theory [36]. Moreover, a simplified version of the semi-classical approach is shown, where the lowest hyperspherical curves are approximated by universal potential tails at large hyperradii, as in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Asymmetric Lineshapes of Efimov Resonances in Mass-Imbalanced Ultracold Gases

Giannakeas

Greene

2021

Atoms

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The resonant profile of the rate coefficient for three-body recombination into a shallow dimer is investigated for mass-imbalanced systems. In the low-energy limit, three atoms collide with zero-range interactions, in a regime where the scattering lengths of the heavy–heavy and the heavy–light subsystems are positive and negative, respectively. For this physical system, the adiabatic hyperspherical representation is combined with a fully semi-classical method and we show that the shallow dimer recombination spectra display an asymmetric lineshape that originates from the coexistence of Efimov resonances with Stückelberg interference minima. These asymmetric lineshapes are quantified utilizing the Fano profile formula. In particular, a closed-form expression is derived that describes the width of the corresponding Efimov resonances and the Fano lineshape asymmetry parameter q. The profile of Efimov resonances exhibits a q-reversal effect as the inter- and intra-species scattering lengths vary. In the case of a diverging asymmetry parameter, i.e., |q|→∞, we show that the Efimov resonances possess zero width and are fully decoupled from the three-body and atom–dimer continua, and the corresponding Efimov metastable states behave as bound levels.

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Section: Introductionmentioning

confidence: 81%

Section: General Considerations and Methodsmentioning

confidence: 99%

Section: Hhmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Asymmetric Lineshapes of Efimov Resonances in Mass-Imbalanced Ultracold Gases

Giannakeas

Greene

2021

Atoms

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Density Effects on the Interferometry of Efimov States by Modulating Magnetic Fields

Bougas,

Mistakidis,

Giannakeas

2024

Few-Body Syst

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Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures

Bougas¹,

Mistakidis²,

Giannakeas

et al. 2021

New J. Phys.

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Few-body correlations emerging in two-dimensional harmonically trapped mixtures, are comprehensively investigated. The presence of the trap leads to the formation of atom-dimer and trap states, in addition to trimers. The Tan’s contacts of these eigenstates are studied for varying interspecies scattering lengths and mass ratio, while corresponding analytical insights are provided within the adiabatic hyperspherical formalism. The two- and three-body correlations of trimer states are substantially enhanced compared to the other eigenstates. The two-body contact of the atom-dimer and trap states features an upper bound regardless of the statistics, treated semi-classically and having an analytical prediction in the limit of large scattering lengths. Such an upper bound is absent in the three-body contact. Interestingly, by tuning the interspecies scattering length the contacts oscillate as the atom-dimer and trap states change character through the existent avoided-crossings in the energy spectra. For thermal gases, a gradual suppression of the involved two- and three-body correlations is evinced manifesting the impact of thermal effects. Moreover, spatial configurations of the distinct eigenstates ranging from localized structures to angular anisotropic patterns are captured. Our results provide valuable insights into the inherent correlation mechanisms of few-body mixtures which can be implemented in recent ultracold atom experiments and will be especially useful for probing the crossover from few- to many-atom systems.

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Ultracold Heteronuclear Three-Body Systems: How Diabaticity Limits the Universality of Recombination into Shallow Dimers

Cited by 13 publications

References 47 publications

Asymmetric Lineshapes of Efimov Resonances in Mass-Imbalanced Ultracold Gases

Asymmetric Lineshapes of Efimov Resonances in Mass-Imbalanced Ultracold Gases

Density Effects on the Interferometry of Efimov States by Modulating Magnetic Fields

Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures

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