The Efimov effect in lithium 6

Pascal Naidon; Masahito Ueda

doi:10.1016/j.crhy.2010.12.002

The Efimov effect in lithium 6
[L'effet d'Efimov dans le lithium 6]

Pascal Naidon ^1,² ; Masahito Ueda ^1,²

¹ ERATO Macroscopic Quantum Project, JST, Tokyo 113-0033, Japan
² Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

Comptes Rendus. Physique, Few body problem, Volume 12 (2011) no. 1, pp. 13-26.

Résumé
Abstract

Nous analysons les récentes expériences concernant la physique à basse énergie de trois atomes de lithium 6 dans des états internes différents avec des longueurs de diffusion résonantes. Toutes les observations s'expliquent qualitativement par l'effet d'Efimov, c'est-à-dire l'attraction universelle effective à trois corps qui survient aux grandes valeurs des longueurs de diffusion. En revanche, il apparaît qu'une compréhension quantitative nécessite des corrections non-universelles à deux et trois corps provenant du comportement inconnu à courte distance. Nous proposons d'implémenter ces corrections par le biais de paramètres dépendant de l'énergie et ajustés à l'expérience.

We analyse the recent experiments investigating the low-energy physics of three lithium 6 atoms in three different internal states with resonant two-body scattering lengths. All observed features are qualitatively consistent with the expected Efimov effect, i.e. the effective universal three-body attraction that arises for large values of the scattering lengths. However, we find that a quantitative description at negative energy requires non-universal two- and three-body corrections due to presently unknown behaviour at short distance. An attempt to implement these corrections is made through energy-dependent parameters that are fitted to the experimental data.

Reçu le : 2010-08-13
Accepté le : 2010-12-09
Publié le : 2011-01-01

DOI : 10.1016/j.crhy.2010.12.002

Mots-clés : Efimov effect, Universality, Zero-range potential, Fano–Feshbach resonance, Trimer, Lithium

Affiliations des auteurs :

Pascal Naidon ^{1, 2} ; Masahito Ueda ^{1, 2}

¹ ERATO Macroscopic Quantum Project, JST, Tokyo 113-0033, Japan
² Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

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Pascal Naidon; Masahito Ueda. The Efimov effect in lithium 6. Comptes Rendus. Physique, Few body problem, Volume 12 (2011) no. 1, pp. 13-26. doi : 10.1016/j.crhy.2010.12.002. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2010.12.002/

Bibliographie
Cité par

[1] V.N. Efimov; V. Efimov Nucl. Phys. A, 12 (1970), p. 589

[2] F. Ferlaino; R. Grimm Physics, 3 (2010), p. 9

[3] J.R. Williams; E.L. Hazlett; J.H. Huckans; R.W. Stites; Y. Zhang; K.M. O'Hara Phys. Rev. Lett., 103 (2009), p. 130404

[4] M. Zaccanti; B. Deissler; C. D'Errico; M. Fattori; M. Jona-Lasinio; S. Müller; G. Roati; M. Inguscio; G. Modugno Nat. Phys., 5 (2009), pp. 586-591

[5] G. Barontini et al. Phys. Rev. Lett., 103 (2009), p. 043201

[6] S. Nakajima; M. Horikoshi; T. Mukaiyama; P. Naidon; M. Ueda Phys. Rev. Lett., 105 (2010), p. 023201

[7] T. Lompe; T.B. Ottenstein; F. Serwane; K. Viering; A.N. Wenz; G. Zürn; S. Jochim Phys. Rev. Lett., 105 (2010), p. 103201

[8] N. Gross; Z. Shotan; S. Kokkelmans; L. Khaykovich Phys. Rev. Lett., 103 (2009), p. 163202

[9] S.E. Pollack; D. Dries; R.G. Hulet Science, 326 (2009), p. 1683

[10] C. Chin; R. Grimm; P. Julienne; E. Tiesinga Rev. Mod. Phys., 82 (2010), p. 1225

[11] J.P. D'Incao; B.D. Esry Phys. Rev. Lett., 103 (2009), p. 083202

[12] J.H. Huckans et al. Phys. Rev. Lett., 102 (2009), p. 165302

[13] T.B. Ottenstein; T. Lompe; M. Kohnen; A.N. Wenz; S. Jochim Phys. Rev. Lett., 101 (2008), p. 203202

[14] S. Knoop; F. Ferlaino; M. Berninger; M. Mark; H.-C. Nägerl; R. Grimm; J.P. D'Incao; B.D. Esry Phys. Rev. Lett., 104 (2010), p. 053201

[15] T. Lompe; T.B. Ottenstein; F. Serwane; A.N. Wenz; G. Zürn; S. Jochim Science, 330 (2010), p. 940

[16] M. Bartenstein et al. Phys. Rev. Lett., 92 (2004), p. 120401

[17] E. Braaten; H.-W. Hammer Ann. Phys., 322 (2007), pp. 120-163

[18] D.S. Petrov Phys. Rev. Lett., 93 (2004), p. 143201

[19] G.V. Skorniakov; K.A. Ter-Martirosian Sov. Phys. JETP, 4 (1957), p. 648

[20] G.S. Danilov Sov. Phys. JETP, 40 (1961), p. 498

[21] V.F. Kharchenko Sov. J. Nucl. Phys., 16 (1972), pp. 310-315

[22] V. Efimov Phys. Rev. C, 44 (1991), p. 2303

[23] M.D. Lee; T. Köhler; P.S. Julienne Phys. Rev. A, 76 (2007), p. 012720

[24] M. Jona-Lasinio; L. Pricoupenko Phys. Rev. Lett., 104 (2010), p. 023201

[25] M. Jona-Lasinio; L. Pricoupenko; Y. Castin Phys. Rev. A, 77 (2008), p. 043611

[26] F. Werner; L. Tarruell; Y. Castin Eur. Phys. J. B, 68 (2009), p. 401

[27] S. Nakajima; M. Horikoshi; T. Mukaiyama; P. Naidon; M. Ueda, 2010 | arXiv

[28] D.S. Petrov; C. Salomon; G.V. Shlyapnikov; D.S. Petrov; C. Salomon; G.V. Shlyapnikov Phys. Rev. A, 93 (2004), p. 090404

[29] F. Werner; Y. Castin Phys. Rev. Lett., 97 (2006), p. 150401

[30] E. Braaten; H.-W. Hammer; D. Kang; L. Platter Phys. Rev. A, 81 (2010), p. 013605

[31] J.P. D'Incao; C.H. Greene; B.D. Esry J. Phys. B: At. Mol. Opt. Phys., 42 (2009), p. 044016

[32] E. Braaten; H.-W. Hammer; D. Kang; L. Platter Phys. Rev. Lett., 103 (2009), p. 073202

[33] P. Naidon; M. Ueda Phys. Rev. Lett., 103 (2009), p. 073203

[34] S. Floerchinger; R. Schmidt; C. Wetterich Phys. Rev. A, 79 (2009), p. 053633

[35] A.N. Wenz; T. Lompe; T.B. Ottenstein; F. Serwane; G. Zürn; S. Jochim Phys. Rev. A, 80 (2009), p. 040702

[36] S.T. Rittenhouse Phys. Rev. A, 81 (2010), p. 040701

[37] H.-W. Hammer; D. Kang; L. Platter Phys. Rev. A, 82 (2010), p. 022715

[38] N. Gross; Z. Shotan; S. Kokkelmans; L. Khaykovich Phys. Rev. Lett., 105 (2010), p. 103203

[39] R.A. Minlos; L.D. Faddeev JETP, 41 (1961), p. 1850

T. Secker; J.-L. Li; P. M. A. Mestrom; S. J. J. M. F. Kokkelmans Multichannel nature of three-body recombination for ultracold K39, Physical Review A, Volume 103 (2021) no. 2 | DOI:10.1103/physreva.103.022825
H. Tajima; P. Naidon Multi-body Correlations in SU(3) Fermi Gases, Journal of Low Temperature Physics, Volume 196 (2019) no. 1-2, p. 163 | DOI:10.1007/s10909-018-2104-z
Hiroyuki Tajima; Pascal Naidon Quantum chromodynamics (QCD)-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases, New Journal of Physics, Volume 21 (2019) no. 7, p. 073051 | DOI:10.1088/1367-2630/ab306b
Jing-Lun Li; Shu-Lin Cong Hyperfine state-to-state ultracold atom-dimer reaction and universality of deep dimer product, Physical Review A, Volume 99 (2019) no. 2 | DOI:10.1103/physreva.99.022708
Chao Gao; Peng Zhang Path of Momentum Integral in the Skorniakov-Ter-Martirosian Equation, Communications in Theoretical Physics, Volume 70 (2018) no. 6, p. 753 | DOI:10.1088/0253-6102/70/6/753
Emma K. Laird; Thomas Kirk; Meera M. Parish; Jesper Levinsen Long-lived trimers in a quasi-two-dimensional Fermi system, Physical Review A, Volume 97 (2018) no. 4 | DOI:10.1103/physreva.97.042711
Yun Long; Feng Xiong; Vinod Gaire; Cameron Caligan; Colin V. Parker All-optical production of Li6 molecular Bose-Einstein condensates in excited hyperfine levels, Physical Review A, Volume 98 (2018) no. 4 | DOI:10.1103/physreva.98.043626
Juris Ulmanis Universality of Li-Cs-Cs Efimov Resonances, Heteronuclear Efimov Scenario in Ultracold Quantum Gases (2017), p. 51 | DOI:10.1007/978-3-319-51862-6_3
Juris Ulmanis Finite-Range Effects in Li-Cs-Cs Efimov Resonances, Heteronuclear Efimov Scenario in Ultracold Quantum Gases (2017), p. 91 | DOI:10.1007/978-3-319-51862-6_4
Pascal Naidon; Shimpei Endo Efimov physics: a review, Reports on Progress in Physics, Volume 80 (2017) no. 5, p. 056001 | DOI:10.1088/1361-6633/aa50e8
J. Ulmanis; S. Häfner; R. Pires; F. Werner; D. S. Petrov; E. D. Kuhnle; M. Weidemüller Universal three-body recombination and Efimov resonances in an ultracold Li-Cs mixture, Physical Review A, Volume 93 (2016) no. 2 | DOI:10.1103/physreva.93.022707
D. Blume Efimov Physics and the Three-Body Parameter for Shallow van der Waals Potentials, Few-Body Systems, Volume 56 (2015) no. 11-12, p. 859 | DOI:10.1007/s00601-015-0996-6
J Ulmanis; S Häfner; R Pires; E D Kuhnle; M Weidemüller; E Tiemann Universality of weakly bound dimers and Efimov trimers close to Li–Cs Feshbach resonances, New Journal of Physics, Volume 17 (2015) no. 5, p. 055009 | DOI:10.1088/1367-2630/17/5/055009
Caroline L. Blackley; Paul S. Julienne; Jeremy M. Hutson Effective-range approximations for resonant scattering of cold atoms, Physical Review A, Volume 89 (2014) no. 4 | DOI:10.1103/physreva.89.042701
Pascal Naidon; Shimpei Endo; Masahito Ueda Physical origin of the universal three-body parameter in atomic Efimov physics, Physical Review A, Volume 90 (2014) no. 2 | DOI:10.1103/physreva.90.022106
Bo Huang; Kenneth M. O'Hara; Rudolf Grimm; Jeremy M. Hutson; Dmitry S. Petrov Three-body parameter for Efimov states inLi6, Physical Review A, Volume 90 (2014) no. 4 | DOI:10.1103/physreva.90.043636
Ren Zhang; Wei Zhang; Hui Zhai; Peng Zhang Calibration of the interaction energy between Bose and Fermi superfluids, Physical Review A, Volume 90 (2014) no. 6 | DOI:10.1103/physreva.90.063614
Pascal Naidon; Shimpei Endo; Masahito Ueda Microscopic Origin and Universality Classes of the Efimov Three-Body Parameter, Physical Review Letters, Volume 112 (2014) no. 10 | DOI:10.1103/physrevlett.112.105301
N. T. Zinner Efimov Trimers Near the Zero-crossing of a Feshbach Resonance, Few-Body Systems, Volume 54 (2013) no. 5-6, p. 597 | DOI:10.1007/s00601-012-0453-8
A. Kievsky; M. Gattobigio Universal nature and finite-range corrections in elastic atom-dimer scattering below the dimer breakup threshold, Physical Review A, Volume 87 (2013) no. 5 | DOI:10.1103/physreva.87.052719
Alessandro Michelangeli; Christian Schmidbauer Binding properties of the (2+1)-fermion system with zero-range interspecies interaction, Physical Review A, Volume 87 (2013) no. 5 | DOI:10.1103/physreva.87.053601
Pascal Naidon; Emiko Hiyama; Masahito Ueda Universality and the three-body parameter of4He trimers, Physical Review A, Volume 86 (2012) no. 1 | DOI:10.1103/physreva.86.012502
Félix Werner; Yvan Castin General relations for quantum gases in two and three dimensions: Two-component fermions, Physical Review A, Volume 86 (2012) no. 1 | DOI:10.1103/physreva.86.013626
Shimpei Endo; Pascal Naidon; Masahito Ueda Crossover trimers connecting continuous and discrete scaling regimes, Physical Review A, Volume 86 (2012) no. 6 | DOI:10.1103/physreva.86.062703
Olga Machtey; Zav Shotan; Noam Gross; Lev Khaykovich Association of Efimov Trimers from a Three-Atom Continuum, Physical Review Letters, Volume 108 (2012) no. 21 | DOI:10.1103/physrevlett.108.210406
Jia Wang; J. P. D’Incao; B. D. Esry; Chris H. Greene Origin of the Three-Body Parameter Universality in Efimov Physics, Physical Review Letters, Volume 108 (2012) no. 26 | DOI:10.1103/physrevlett.108.263001
Yusuke Nishida New Type of Crossover Physics in Three-Component Fermi Gases, Physical Review Letters, Volume 109 (2012) no. 24 | DOI:10.1103/physrevlett.109.240401
Mark J. H. Ku; Ariel T. Sommer; Lawrence W. Cheuk; Martin W. Zwierlein Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas, Science, Volume 335 (2012) no. 6068, p. 563 | DOI:10.1126/science.1214987
F. Ferlaino; A. Zenesini; M. Berninger; B. Huang; H. -C. Nägerl; R. Grimm Efimov Resonances in Ultracold Quantum Gases, Few-Body Systems, Volume 51 (2011) no. 2-4, p. 113 | DOI:10.1007/s00601-011-0260-7
Stefan Floerchinger; Sergej Moroz; Richard Schmidt Efimov Physics from the Functional Renormalization Group, Few-Body Systems, Volume 51 (2011) no. 2-4, p. 153 | DOI:10.1007/s00601-011-0231-z
Shimpei Endo; Pascal Naidon; Masahito Ueda Universal Physics of 2+1 Particles with Non-Zero Angular Momentum, Few-Body Systems, Volume 51 (2011) no. 2-4, p. 207 | DOI:10.1007/s00601-011-0229-6
Tao Yin; Peng Zhang; Wei Zhang Stable heteronuclear few-atom bound states in mixed dimensions, Physical Review A, Volume 84 (2011) no. 5 | DOI:10.1103/physreva.84.052727
Ludovic Pricoupenko; Mattia Jona-Lasinio Ultracold bosons in the vicinity of a narrow resonance: Shallow dimer and recombination, Physical Review A, Volume 84 (2011) no. 6 | DOI:10.1103/physreva.84.062712
Shuta Nakajima; Munekazu Horikoshi; Takashi Mukaiyama; Pascal Naidon; Masahito Ueda Measurement of an Efimov Trimer Binding Energy in a Three-Component Mixture ofLi6, Physical Review Letters, Volume 106 (2011) no. 14 | DOI:10.1103/physrevlett.106.143201
M. Berninger; A. Zenesini; B. Huang; W. Harm; H.-C. Nägerl; F. Ferlaino; R. Grimm; P. S. Julienne; J. M. Hutson Universality of the Three-Body Parameter for Efimov States in Ultracold Cesium, Physical Review Letters, Volume 107 (2011) no. 12 | DOI:10.1103/physrevlett.107.120401

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