Potassium ground-state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy

Falke, Stephan; Knöckel, H.; Friebe, J.; Riedmann, M.; Tiemann, E.; Lisdat, Christian

doi:10.1103/physreva.78.012503

Cited by 74 publications

(97 citation statements)

References 48 publications

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“…In the Born-Oppenheimer approximation, V (R) is independent of reduced mass, so the values of /π for different isotopologs are related by simple mass scaling. For alkali metals heavier than Li, such mass scaling is very accurate [28][29][30][54][55][56]. For Li, however, significant corrections are needed, as shown in Sec.…”

Section: A Born-oppenheimer Correctionsmentioning

confidence: 99%

“…For heavy diatomic molecules, the differences between the binding energies for different isotopes can be well accounted for by retaining the same potential curves and simply changing the masses used in the calculation [28][29][30][31][32][33][34]. However, it is known that mass corrections due to the breakdown of the BornOppenheimer approximation are important for light species such as H 2 [35,36] and also have significant effects in LiK [37] and LiRb [38].…”

Section: Introductionmentioning

confidence: 99%

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Contrasting the wide Feshbach resonances inLi6andLi7

Julienne

Hutson

2014

Phys. Rev. A

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Publisher's copyright statement:Reprinted with permission from the American Physical Society: Phys. Rev. A 89, 052715 c (2014) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modied, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details.

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Section: A Born-oppenheimer Correctionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Contrasting the wide Feshbach resonances inLi6andLi7

Julienne

Hutson

2014

Phys. Rev. A

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“…Finaly, we set the magnetic field B = 85 G, where interspecies scattering length a = −20 a 0 . At this magnetic field, the dual BEC is miscible because the interspecies scattering length is much smaller than the intra-species scattering length (a KK = 63.5(6) a 0 [31], a RbRb = 100.4(1) a 0 [32]). …”

Section: K Atoms Andmentioning

confidence: 99%

Isotopic Shift of Atom-Dimer Efimov Resonances in K-Rb Mixtures: Critical Effect of Multichannel Feshbach Physics

et al. 2017

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The multichannel Efimov physics is investigated in ultracold heteronuclear admixtures of K and Rb atoms. We observe a shift in the scattering length where the first atom-dimer resonance appears in the 41 K-87 Rb system relative to the position of the previously observed atom-dimer resonance in the 40 K-87 Rb system. This shift is well explained by our calculations with a three-body model including the van der Waals interactions, and, more importantly, the multichannel spinor physics. With only minor difference in the atomic masses of the admixtures, the shift in the atom-dimer resonance positions can be cleanly ascribed to the isolated and overlapping Feshbach resonances in the 40 K-87 Rb and 41 K-87 Rb systems, respectively. Our study demonstrates the role of the multichannel Feshbach physics in determining Efimov resonances in heteronuclear three-body systems.If physical systems exhibit properties that are independent of details of interaction, they are called universal [1]. Universality has played a central role in the analysis of quantum degenerate gases, e.g., the effects of binary collisions were successfully characterized by a single parameter, the s-wave scattering length a, independent of the details of the two-body potential. For few-body phenomena, however, it has been well known that an additional parameter -e.g. three-body parameter [1] -is necessary for a complete description of the system. Efimov states, an infinite series of three-body bound states with discrete scale invariance when a two-body scattering length diverges [2], provided us a unique opportunity to investigate the properties of three-body parameter both theoretically and experimentally. Combined experimental effort to observe Efimov-related resonance provided us with unexpected constancy of three-body parameters [3][4][5][6][7][8][9], while detailed theoretical analysis showed the origin of this constancy in some limiting cases [10,11].Recently, a newly developed three-body spinor model that included both van der Waals interactions and multichannel Feshbach physics has succeeded in reproducing many experimentally observed Efimov features in homonuclear atomic systems [12]. This model involves additional parameters that characterize Feshbach resonances, such as the background scattering length of an open channel normalized by the van der Waals length (r bg ) and the resonance strength of a closed channel (s res ). It was impressive to see that predictions from a three-body model constructed to reproduce only twobody Feshbach physics match almost perfectly with the experimentally observed three-body features in homonuclear systems [12,13]. This achievement suggests that the necessity of including precise few-body short-range chemical forces in studies of universal few-body phenomena -a task far beyond our current capability -may be removed.Extending this universal theory to heteronuclear systems is the next big challenge. In addition to the mass ratio, heteronuclear systems have the extra complication of having both inter-and intra-spe...

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“…By contrast to 39 K, it varies only slightly from a background value of approximately +63 a 0 . Direct evaporation to Bose-Einstein condensation has been achieved in the magnetically trappable f = 2, m f = 2 excited state [44], where the scattering length is +61 a 0 [31]. Efficient evaporation is also expected for atoms in the f = 1, m f = 1 ground state confined in an optical dipole trap.…”

Section: Fig 4 (Color Online)mentioning

confidence: 99%

Feshbach resonances, molecular bound states, and prospects of ultracold-molecule formation in mixtures of ultracold K and Cs

et al. 2014

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We consider the possibilities for producing ultracold mixtures of K and Cs and forming KCs molecules by magnetoassociation. We carry out coupled-channel calculations of the interspecies scattering length for 39 KCs, 41 KCs and 40 KCs and characterize Feshbach resonances due to s-wave and d-wave bound states, with widths ranging from below 1 nG to 5 G. We also calculate the corresponding bound-state energies as a function of magnetic field. We give a general discussion of the combinations of intraspecies and interspecies scattering lengths needed to form low-temperature atomic mixtures and condensates and identify promising strategies for cooling and molecule formation for all three isotopic combinations of K and Cs.

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Potassium ground-state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy

Cited by 74 publications

References 48 publications

Contrasting the wide Feshbach resonances inLi6andLi7

Contrasting the wide Feshbach resonances inLi6andLi7

Isotopic Shift of Atom-Dimer Efimov Resonances in K-Rb Mixtures: Critical Effect of Multichannel Feshbach Physics

Feshbach resonances, molecular bound states, and prospects of ultracold-molecule formation in mixtures of ultracold K and Cs

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