Erratum: Observation of Heteronuclear Atomic Efimov Resonances [Phys. Rev. Lett.<b>103</b>, 043201 (2009)]

Barontini, Giovanni; Weber, C.; Rabatti, F.; Catani, Jacopo; Thalhammer, Gregor; Inguscio, M.; Minardi, F.

doi:10.1103/physrevlett.104.059901

Cited by 114 publications

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“…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

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. (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.

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Section: Introductionmentioning

confidence: 94%

Three-body parameter for Efimov states inLi6

O’Hara

Grimm

et al. 2014

Phys. Rev. A

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“…This was predicted by Efimov [1] forty years back, and has only been recently verified experimentally with an ultra-cold gas of optically trapped 133 Cs atoms [2]. Subsequently, Barontini et al [3] have have found evidence for two kinds of Efimov trimers with 41 K and 87 Rb atoms. Efimov considered three identical bosons interacting pairwise with an interaction whose range r 0 is much smaller than the interatomic scattering length a.…”

Section: Introductionmentioning

confidence: 96%

“…This is an exact trace formula, representing a Fourier decomposition of (3). When summed over all harmonics, it reproduces the quantized spectrum (1).…”

Section: Geometric Spectrummentioning

confidence: 99%

Semiclassical analysis of the Efimov energy spectrum in the unitary limit

2011

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We demonstrate that the (s-wave) geometric spectrum of the Efimov energy levels in the unitary limit is generated by the radial motion of a primitive periodic orbit (and its harmonics) of the corresponding classical system. The action of the primitive orbit depends logarithmically on the energy. It is shown to be consistent with an inverse-squared radial potential with a lower cut-off radius. The lowest-order WKB quantization, including the Langer correction, is shown to reproduce the geometric scaling of the energy spectrum. The (WKB) mean-squared radii of the Efimov states scale geometrically like the inverse of their energies. The WKB wavefunctions, regularized near the classical turning point by Langer's generalized connection formula, are practically indistinguishable from the exact wave functions even for the lowest (n = 0) state, apart from a tiny shift of its zeros that remains constant for large n.

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“…Investigations of different masses, dimensionality, and quantum statistics are also producing results both for two (Barontini et al 2009) and three-component systems , Nakajima et al 2011. Now more than one three-body system can be tuned to fulfill the Efimov conditions.…”

Section: New Directionsmentioning

confidence: 99%

“…Within the last five years a number of papers reported on experimental results obtained for cold atoms in traps and with Feshbach resonance techniques (Kraemer et al 2006, Ottenstein et al 2008, Zaccanti et al 2009, Gross et al 2009, Barontini et al 2009). The systems always consist of many particles and the Efimov states are only indirectly observed as enhanced (or depleted) probabilities for three-body decay of the trapped particles.…”

Section: Measurable Consequences In Physics Systemsmentioning

confidence: 99%

Comparing and contrasting nuclei and cold atomic gases

Zinner¹,

Jensen²

2013

J. Phys. G: Nucl. Part. Phys.

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Abstract. The experimental revolution in ultracold atomic gas physics over the past decades have brought tremendous amounts of new insight to the world of degenerate quantum systems. Here we compare and constrast the developments of cold atomic gases with the physics of nuclei since many concepts, techniques, and nomenclatures are common to both fields. However, nuclei are finite systems with interactions that are typically much more complicated than those of ultracold atomic gases. The simularities and differences must therefore be carefully addressed for a meaningful comparison and to facilitate fruitful crossdisciplinary activity. We first consider condensates of bosonic and paired systems of fermionic particles with the mean-field description but take great care to point out potential problems in the limit of small particle numbers. Along the way we review some of the basic results of BEC and BCS theory, as well as the BCS-BEC crossover and the Fermi gas in the unitarity limit, all within the context of ultracold atoms. Subsequently, we consider the specific example of an atomic Fermi gas from a nuclear physics perspective, comparing degrees of freedom, interactions, and relevant length and energy scales of cold atoms and nuclei. Next we address some attempts in nuclear physics to transfer the concepts of condensates in nuclei that can in principle be built from bosonic alpha-particle constituents. We also consider Efimov physics, a prime example of nuclear physics transfered to cold atoms, and consider which systems are more likely to show interesting bound state spectra. Finally, we address some recent studies of the BCS-BEC crossover in light nuclei and compare them to the concepts used in ultracold atomic gases. While many-body concepts such as BEC or BCS states are applicable in both subfields, we find that the interactions and finite particle numbers in nuclei can obscure the clear meaning they have in cold atoms. On the other hand, universal results from atomic physics should have impact in certain limits of the nuclear domain. In particular, with advances in the trapping of few-body atomic systems we expect a more direct exchange of ideas and results.

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Erratum: Observation of Heteronuclear Atomic Efimov Resonances [Phys. Rev. Lett.103, 043201 (2009)]

Cited by 114 publications

References 0 publications

Three-body parameter for Efimov states inLi6

Three-body parameter for Efimov states inLi6

Semiclassical analysis of the Efimov energy spectrum in the unitary limit

Comparing and contrasting nuclei and cold atomic gases

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