Heteronuclear Efimov Scenario with Positive Intraspecies Scattering Length

Ulmanis, Juris; Häfner, Stephan; Pires, R.; Kuhnle, E. D.; Wang, Yujun; Greene, Chris H.; Weidemüller, Matthias

doi:10.1103/physrevlett.117.153201

Cited by 57 publications

(87 citation statements)

References 43 publications

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“…The effect of the Cs-Cs scattering length on the Efimov resonances was investigated in Refs. [20][21][22]. 1 Connected to the Efimov states are universal bound states in the four-and higher-body sector.…”

Section: K = Sgn(e)mentioning

confidence: 99%

Tetramer bound states in heteronuclear systems

2017

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We calculate the universal spectrum of trimer and tetramer states in heteronuclear mixtures of ultracold atoms with different masses in the vicinity of the heavy-light dimer threshold. To extract the energies, we solve the three-and four-body problem for simple two-and three-body potentials tuned to the universal region using the Gaussian expansion method. We focus on the case of one light particle of mass m and two or three heavy bosons of mass M with resonant heavy-light interactions. We find that trimer and tetramer cross into the heavy-light dimer threshold at almost the same point and that as the mass ratio M/m decreases, the distance between the thresholds for trimer and tetramer states becomes smaller. We also comment on the possibility of observing exotic three-body states consisting of a dimer and two atoms in this region and compare with previous work.

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Section: K = Sgn(e)mentioning

confidence: 99%

Tetramer bound states in heteronuclear systems

2017

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“…Our results (assuming no interaction between bosons) can be directly probed in 6 Li-133 Cs atomic system near B 0 = 889G Feshbach resonance [70,71], where the bosonboson scattering length (a bb ) is small and the Efimov scenario is not modified by finite a bb (except for the ground state trimer [70]). Moreover, the diagrammatic approach we used in this work can be generalized to interacting boson systems, with the boson-boson interaction contributing to another scattering channel.…”

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confidence: 99%

Visualizing the Efimov Correlation in Bose Polarons

2017

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The Bose polaron is a quasi-particle of an impurity dressed by surrounding bosons. In fewbody physics, it is known that two identical bosons and a third distinguishable particle can form a sequence of Efimov bound states in the vicinity of inter-species scattering resonance. On the other hand, in the Bose polaron system with an impurity atom embedded in many bosons, no signature of Efimov physics has been reported in the existing spectroscopy measurements up to date. In this work, we propose that a large mass imbalance between a light impurity and heavy bosons can help produce visible signatures of Efimov physics in such a spectroscopy measurement. Using the diagrammatic approach in the Virial expansion to include three-body effects from pairwise interactions, we determine the impurity self-energy and its spectral function. Taking 6 Li-133 Cs system as a concrete example, we find two visible Efimov branches in the polaron spectrum, as well as their hybridizations with the attractive polaron branch. We also discuss the general scenarios for observing the signature of Efimov physics in polaron systems. This work paves the way for experimentally exploring intriguing few-body correlations in a many-body system in the near future.Top-down and bottom-up are two major approaches to studying correlations in a quantum many-body system. The cold atom system has intrinsic advantage for the bottom-up approach since it is a dilute system and the few-body problems therein are well understood. In this approach, one would like to understand how manybody physics is built up from few-body correlations. In cold atom system, one of the most intriguing three-body correlations lies in Efimov physics, which is characterized by an infinite number of trimer states nearby a two-body resonance and following a universal scaling law [1,2]. Efimov physics has been observed in a number of cold atoms experiments, while all of them are at the few-body level [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. The manifestation of Efimov physics in the many-body system has yet to be observed.In this context, a convenient and non-trivial testbed is the highly-polarized ultracold gases, which consist of minority impurity atoms interacting with the majority of fermionic or bosonic atoms, respectively called the Fermi or the Bose polarons. Lots of theoretical efforts have been paid to study the Fermi polaron [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] and the Bose polaron [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51]. Nearby a Feshbach resonance, a Fermi polaron displays an attractive branch [20][21][22][23][24][25]29] and a repulsive branch [26][27][28], which directly manifests two-body correlations in this system. In the past few years, the Fermi polaron has been studied by a number of experiments [52][53][54][55][56][57], while the Bose polaron has only recently been explored [58][59][60]. Most of these experiments are the injection radio-frequency spectroscopy measurements, with which both the r...

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“…Near broad Feshbach resonances (s res ≫ 1), the singlechannel universal van der Waals theory [14] predicted a universal dependence of the three-body parameter on the intra-species scattering length. [17]. For homonuclear systems, the universal prediction [10] appeared to hold for 39 K even near narrow Feshbach resonance with s res ≈ 0.1 [19].…”

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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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Heteronuclear Efimov Scenario with Positive Intraspecies Scattering Length

Cited by 57 publications

References 43 publications

Tetramer bound states in heteronuclear systems

Tetramer bound states in heteronuclear systems

Visualizing the Efimov Correlation in Bose Polarons

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

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