Beyond-Born-Oppenheimer effects in sub-kHz-precision photoassociation spectroscopy of ytterbium atoms

Borkowski, Mateusz; Buchachenko, Alexei A.; Ciuryło, R.; Julienne, Paul S.; Yamada, H.; Kikuchi, Yuta; Takahashi, K; Takasu, Yoshio; Takahashi, Yoshiro

doi:10.1103/physreva.96.063405

Cited by 27 publications

(79 citation statements)

References 79 publications

(131 reference statements)

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“…The difference between our analysis and that of Ref. [2] is that the first one is much simpler, whereas the second one provides a potential energy curve with correct near asymptotic behaviour and the vibrational numbering comes as a consequence.…”

Section: Ybmentioning

confidence: 87%

“…We shall discuss the case of Yb 2 molecule in more details than the other ones to make our presentation more instructive. In Table I we Therefore we just changed the sign of the relative vibrational quantum numbers from [2]. We shall use label n hereafter for the proper relative vibrational quantum numbers.…”

Section: Ybmentioning

confidence: 99%

“…However, this is not the case for the other isotopologues, because the numbering used in Ref. [2] was introduced independently for each of them. The same potential curve may support a different number of levels for isotopologues of different masses, for instance the least bound levels with p = 1 in 170 Yb 2 and p = 1 in 174 Yb 2 do not necessarily correspond to the same absolute quantum number v (and to the same relative number n).…”

Section: Ybmentioning

confidence: 99%

“…In a series of recently published papers, measurements of binding energies for the few last rovibrational levels in the ground electronic state were reported in RbYb [1], Yb 2 [2], CsYb [3] and RbSr [4] molecules. These studies were focused on the scattering properties of the corresponding ultra-cold atomic species, including the interatomic interaction potentials and scattering lengths.…”

Section: Introductionmentioning

confidence: 99%

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Absolute numbering of asymptotic vibrational levels of diatomic molecules from cold-physics experiments

Pashov¹,

Kowalczyk

Jastrzębski

2020

Phys. Rev. A

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We present a simple method for determination of absolute vibrational numbering of isolated near dissociation levels in diatomic molecules, usually observed in cold physics experiments. The method is based on the isotope shift and works even when energies of only two levels from one isotopologue and one level from another isotopologue have been measured. It is demonstrated on data from recently reported precise measurements of binding energies of levels lying close to the dissociation limits in ultracold Yb 2 , CsYb, RbSr and RbYb molecules. Its predictions agree with these of much more elaborate multi-isotope potential curve fitting.

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Section: Ybmentioning

confidence: 87%

Section: Ybmentioning

confidence: 99%

Section: Ybmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Absolute numbering of asymptotic vibrational levels of diatomic molecules from cold-physics experiments

Pashov¹,

Kowalczyk

Jastrzębski

2020

Phys. Rev. A

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“…The dissociation energy for ErYb obtained with broken-symmetry CCSD(T) is 639cm -1 . This value can be compared with experimental estimates of the dissociation energy for Yb 2 of 738cm −1 [55] and RbYb of 785cm −1 [56]. In the latter case, ab initio calculations based on the ECP60MDF core potential as reported in [56] predicted a well depth of 704 cm −1 , hence we expect our result could be underestimated by at most 10% and conclude that the ECP60MDF core potential as used for the Yb atom is sufficient to satisfactorily describe the ErYb interaction.…”

Section: Interaction Of Er and Yb Atomsmentioning

confidence: 99%

Quantum chaos in Feshbach resonances of the ErYb system

2020

Self Cite

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We investigate ultracold magnetic-field-assisted collisions in the so far unexplored ErYb system. The nonsphericity of the Er atom leads to weakly anisotropic interactions that provide the mechanism for Feshbach resonances to emerge. The resonances are moderately sparsely distributed with a density of 0.1-0.3 G −1 and exhibit chaotic statistics characterized by a Brody parameter η≈0.5-0.7. The chaotic behaviour of Feshbach resonances is accompanied by strong mixing of magnetic and rotational quantum numbers in near-threshold bound states. We predict the existence of broad resonances at fields < 300 G that may be useful for the precise control of scattering properties and magnetoassociation of ErYb molecules. The high number of bosonic Er-Yb isotopic combinations gives many opportunities for mass scaling of interactions. Uniquely, two isotopic combinations have nearly identical reduced masses (differing by less than 10 −5 relative) that we expect to have strikingly similar Feshbach resonance spectra, which would make it possible to experimentally measure their sensitivity to hypothetical variations of proton-to-electron mass ratio. behaviour can be analyzed instead (see pioneering work of Porter and coworkers e.g. [24,25]) and the tools for such analysis include the Random Matrix Theory developed by Wigner [26] and Dyson [27]. For ultracold gases the first evidence of chaos in a Feshbach resonance spectrum was reported in Er dimer by Frisch et al [19]. Since then, the chaotic character of bound states and Feshbach resonances in ultracold collisions was also found for several other systems, for example, in mixtures of Yb atoms in 1 S 0 and 3 P 2 states at large magnetic fields [28], and molecular collisions of Li atom with CaH and CaF [29]. On the other hand, the resonance spacings in collisions of Er and Li atoms in a magnetic field [30], and of highly magnetic europium ( 7 S) with alkali metal atoms [31] have both been shown to follow the non-chaotic poissonian distribution.Here we investigate the interactions and Feshbach spectra between weakly anisotropic lanthanides and heavy spin-singlet atoms using ErYb as a prime example. Ytterbium, alongside Sr, is the most widely used spin-singlet atom with applications for optical clocks, quantum gases and quantum simulation [32][33][34][35]. ErYb should also be very attractive due to the fantastic mass-scalability of both Yb [36,37] and Er (as shown here). Three of the bosonic Yb isotopes, 168 Yb [38] and 170 Yb [39] and 174 Yb [40] form stable Bose-Einstein condensates, and several Fermi and Bose-Fermi and Bose-Bose gases [41, 42] have also been demonstrated experimentally. Er and Yb atoms could form many isotopic mixtures, including two fermion-fermion mixtures with nearly equal masses and very close polarizabilities (hence, trapping properties). While an Er-Yb quantum degenerate mixture has not been achieved yet, it is clearly within the reach of present state-of-the-art techniques. Our predictions could be tested by forming a dual Mott insulator of Er and Yb atoms...

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Relating Binding Energy and Scattering Length of Weakly Bound Dimers of Strontium

Augustovičová

Špirko

2021

Annalen der Physik

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The s‐wave scattering length (a) is an important parameter in ultracold collisions and precision tests of fundamental physics, yet its accurate calculation remains a challenge. Solving suitable vibrational Schrödinger equations with scaled interaction potentials and reduced masses, the relationship between the binding energy (D0) of the highest vibrational state and the s‐wave scattering length is derived for a set of ground state Sr2 isotopomers. The resulting “a versus D0” relations are robust even if approximate potentials are used, thus enabling reliable scattering lengths to be determined directly from experimental binding energies. The presented approach will have broad applicability, notably when an accurate potential is unavailable and when the literature (semiclassical) counterparts of the probed “a versus D0” relations become inadequate.

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Beyond-Born-Oppenheimer effects in sub-kHz-precision photoassociation spectroscopy of ytterbium atoms

Cited by 27 publications

References 79 publications

Absolute numbering of asymptotic vibrational levels of diatomic molecules from cold-physics experiments

Absolute numbering of asymptotic vibrational levels of diatomic molecules from cold-physics experiments

Quantum chaos in Feshbach resonances of the ErYb system

Relating Binding Energy and Scattering Length of Weakly Bound Dimers of Strontium

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