Nuclear-Spin-Independent Short-Range Three-Body Physics in Ultracold Atoms

Gross, Noam; Shotan, Zav; Kokkelmans, Sjjmf Servaas; Khaykovich, Lev

doi:10.1103/physrevlett.105.103203

Cited by 130 publications

(248 citation statements)

References 27 publications

Supporting

Mentioning

229

Contrasting

Unclassified

Order By: Relevance

“…In these experiments, rather broad Feshbach resonances are used, implying that the range b of the interactions between atoms is typically the van der Waals length r vdW = 1 2 (mC 6 / 2 ) 1/4 associated with the −C 6 /r 6 tail of the open-channel potential [28]. The measured value of the three-body parameter expressed in units of r vdW turned out to stay fairly constant for different atomic species [2], nuclear spin states [16], or even resonances of the same species [18]. This indicates that the three-body parameter is universally determined by the van der Waals length, and relatively insensitive to other short-range details specific to each species.…”

Section: Introductionmentioning

confidence: 99%

Physical origin of the universal three-body parameter in atomic Efimov physics

2014

View full text Add to dashboard Cite

We address the microscopic origin of the universal three-body parameter that fixes the spectrum of few-atom systems in the Efimov regime. We identify it with a nonadiabatic deformation of the three-atom system which occurs when three atoms come within the distance of the van der Waals length. This deformation explains the universal ratio of the scattering length at the triatomic resonance to the van der Waals length observed in several experiments and confirmed by numerical calculations.

show abstract

Section: Introductionmentioning

confidence: 99%

Physical origin of the universal three-body parameter in atomic Efimov physics

2014

View full text Add to dashboard Cite

show abstract

“…The scattering length has a pole at resonance, corresponding to a two-body bound state exactly at threshold. Signatures of Efimov states were first observed in an ultracold gas of cesium atoms [7] and have since been found in many other systems, including other bosonic gases [8][9][10][11][12][13], three-component fermionic spin mixtures [14][15][16][17], and mixtures of atomic species [18][19][20][21]. Moreover, extensions of the Efimov scenario to universal states of larger clusters [22][23][24] have been demonstrated in experiments [9,25,26], highlighting the general nature of universal few-body physics.…”

Section: Introductionmentioning

confidence: 94%

Three-body parameter for Efimov states inLi6

O’Hara

Grimm

et al. 2014

Phys. Rev. A

View full text Add to dashboard Cite

. (2014) 'Three-body parameter for E mov states in 6Li. ', Physical review A., 90 (4). 043636.Further information on publisher's website:http://dx.doi.org/10.1103/PhysRevA.90.043636Publisher's copyright statement:Reprinted with permission from the American Physical Society: Bo Huang (), Kenneth M. O'Hara, Rudolf Grimm, Jeremy M. Hutson, and Dmitry S. Petrov (2014) 'Three-body parameter for E mov states in 6Li.', Physical review A., 90 (4), 043636. 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, modi ed, 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-pro t 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. We present a state-of-the-art reanalysis of experimental results on Efimov resonances in the three-fermion system of 6 Li. We discuss different definitions of the three-body parameter (3BP) for Efimov states and adopt a definition that excludes effects due to deviations from universal scaling for low-lying states. We develop a finite-temperature model for the case of three distinguishable fermions and apply it to the excited-state Efimov resonance to obtain the most accurate determination to date of the 3BP in an atomic three-body system. Our analysis of ground-state Efimov resonances in the same system yields values for the three-body parameter that are consistent with the excited-state result. Recent work has suggested that the reduced 3BP for atomic systems is a near-universal quantity, almost independent of the particular atom involved. However, the value of the 3BP obtained for 6 Li is significantly (∼20%) different from that previously obtained from the excited-state resonance in Cs. The difference between these values poses a challenge for theory.

show abstract

“…Since the modulation of the magnetic field is parallel to the magnetic bias field, only transitions between states with the same projection quantum number of the total angular momentum are observed. This procedure has been successfully applied in several experiments [37,[53][54][55][56][57][58] to determine atomic scattering properties.…”

Section: Binding Energy Measurementsmentioning

confidence: 99%

Feshbach resonances, weakly bound molecular states, and coupled-channel potentials for cesium at high magnetic fields

et al. 2013

View full text Add to dashboard Cite

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. We explore the scattering properties of ultracold ground-state Cs atoms at magnetic fields between 450 G (45 mT) and 1000 G. We identify 17 previously unreported Feshbach resonances, including two very broad ones near 549 and 787 G. We measure the binding energies of several different dimer states by magnetic field modulation spectroscopy. We use least-squares fitting to these experimental results, together with previous measurements at lower field, to determine a six-parameter model of the long-range interaction potential, designated M2012. Coupled-channels calculations using M2012 provide an accurate mapping between the s-wave scattering length and the magnetic field over the entire range of fields considered. This mapping is crucial for experiments that rely on precise tuning of the scattering length, such as those on Efimov physics.

show abstract

Nuclear-Spin-Independent Short-Range Three-Body Physics in Ultracold Atoms

Cited by 130 publications

References 27 publications

Physical origin of the universal three-body parameter in atomic Efimov physics

Physical origin of the universal three-body parameter in atomic Efimov physics

Three-body parameter for Efimov states inLi6

Feshbach resonances, weakly bound molecular states, and coupled-channel potentials for cesium at high magnetic fields

Contact Info

Product

Resources

About