Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Efimov resonances in atomic three-body systems

J. Zs. Mezei, Zoltán Papp

Published Mar 10, 2006• 10 citations
Publisher

Abstract

In a recent work [Phys. Rev. Lett.94, 143201 (2005)], we reported an accumulation of three-body resonant states attached to $n=2$ and higher two-body thresholds. A more careful investigation revealed that there are resonances of the same kind above the $n=1$ threshold as well. This suggests that the resonances attached to the thresholds are Efimov resonances.

DOI
10.1103/physreva.73.030701

Related papers

Three bodies bind even when two do not: Efimov states and Fano resonances in atoms and nuclei

A. R. P. Rau

Efimov's prediction more than three decades ago that three-body bound states can exist when the pairwise attractions do not bind or only support weakly bound states of a pair, has remained unconfirmed till just the past year. This lecture provides the pedagogical background for recent work on Efimov states in neutron-rich nuclei done with I. Mazumdar (TIFR) and V. S. Bhasin (Delhi University), and published in Phys. Rev. Lett. 97, 062503 (2006). Both these nuclear systems and recent observations of cold cesium atoms provide the first clear evidence for the existence of Efimov states.

arXiv:0706.1230•Jun 8, 2007•1 citation

Efimov resonances in atom-diatom scattering

E. Nielsen, Hiroya Suno, Brett D. Esry

We have investigated three identical bosons with very large pairwise scattering lengths. Normally such a situation is associated with Efimov states, where the three-body system has a set of very loosely bound states close to the three-body threshold. In the limit of infinite scattering length, the three-body system has infinitely many bound states. If, however, the two-body subsystems have deep lying two-body bound states, the Efimov states lie over the corresponding thresholds for breakup. We have calculated the positions and widths of these Feshbach resonances for some simple potentials numerically and have extracted the systematics. We explore the possibility of observing such Efimov resonances in atom-diatom scattering experiments with alkali atoms.

Physical Review A•Jul 18, 2002•59 citations

On the Appearance of Families of Efimov States in the Spinor Three-Body Problem

V. E. Colussi, Chris H. Greene, José Paulo D'Incao

Few-body systems with access to multiple internal levels exhibit richness beyond that typically found in their single-level counterparts. One example is that of Efimov states in strongly-correlated spinor three-body systems. In [V. E. Colussi, C. H. Greene, and J. P. D'Incao, Phys. Rev. Lett. 113, 045302 (2014)] this problem was analyzed for spinor condensates finding a complex level structure as in an early work [Bulgac and Efimov, Sov. J. Nucl. Phys. 22, 153 (1976)] in nuclear physics, and the impact of Efimov physics on the general form of the scattering observables was worked out. In this paper we discuss the appearance of novel families of Efimov states in the spinor three-body problem.

•Jan 1, 2016•2 citations

On the Appearance of Families of Efimov States in the Spinor Three-Body Problem

V. E. Colussi, Chris H. Greene, J. P. D‘Incao

Few-body systems with access to multiple internal levels exhibit richness beyond that typically found in their single-level counterparts. One example is that of Efimov states in strongly-correlated spinor three-body systems. In [V. E. Colussi, C. H. Greene, and J. P. D’Incao, Phys. Rev. Lett. 113, 045302 (2014)] this problem was analyzed for spinor condensates finding a complex level structure as in an early work [Bulgac and Efimov, Sov. J. Nucl. Phys. 22, 153 (1976)] in nuclear physics, and the impact of Efimov physics on the general form of the scattering observables was worked out. In this paper we discuss the appearance of novel families of Efimov states in the spinor three-body problem.

arXiv:1509.00515•EPJ Web of Conferences•Jan 1, 2016•2 citations

Efimov physics and the three-body parameter within a two-channel framework

Peder K. Sørensen, D. V. Fedorov, A. S. Jensen +1 more

We calculate shallow three-body bound states in the universal regime, defined by Efimov, with inclusion of both scattering length and effective range parameters. We find corrections to the universal scaling laws for large binding energies. For narrow resonances we find a distinct nonmonotonic behavior of the threshold at which the lowest Efimov trimer merges with the three-body continuum. The origin of the three-body parameter is related to the two-body atom-atom interactions in a physically clear model. Our results demonstrate that experimental information from narrow Feshbach resonances and/or mixed systems are of vital importance to pin down the relation of two- and three-body physics in atomic systems.

arXiv:1206.2274•Physical Review A•Nov 26, 2012•57 citations

Four-body legacy of the Efimov effect

Javier von Stecher, José Paulo D'Incao, Chris H. Greene

Armed with a new solution to the four-body problem, we reanalyze the recent Innsbruck observation of an Efimov resonance in three-body collisions of cesium atoms, and show that it provides evidence of new, universal four-body physics as well. Our theoretical treatment of four bosonic atoms in the limit of strong two-body attraction suggests a ubiquitous result: namely, that resonantly-bound states of all four atoms should occur whenever the two-body scattering length is a specific fraction (0.43) of the value where a three-body Efimov resonance occurs. A hitherto unanalyzed feature in the 2006 Innsbruck experiment supports this universal prediction, and it provides the first known evidence to date that a direct four-body recombination process plays a role. While we confirm the conclusion reached previously by some studies that no true Efimov effect exists for four particles, we demonstrate the existence of a universal class of four-body states that are intimately connected with three-body Efimov states.

arXiv:0810.3876•Oct 21, 2008•7 citations
In a recent work [Phys. Rev. Lett.94, 143201 (2005)], we reported an accumulation of three-body resonant states attached to n=2n=2n=2 and higher two-body thresholds. A more careful investigation revealed that there are resonances of the same kind above the n=1n=1n=1 threshold as well. This suggests that the resonances attached to the thresholds are Efimov resonances.
Efimov's prediction more than three decades ago that three-body bound states can exist when the pairwise attractions do not bind or only support weakly bound states of a pair, has remained unconfirmed till just the past year. This lecture provides the pedagogical background for recent work on Efimov states in neutron-rich nuclei done with I. Mazumdar (TIFR) and V. S. Bhasin (Delhi University), and published in Phys. Rev. Lett. 97, 062503 (2006). Both these nuclear systems and recent observations of cold cesium atoms provide the first clear evidence for the existence of Efimov states.
We have investigated three identical bosons with very large pairwise scattering lengths. Normally such a situation is associated with Efimov states, where the three-body system has a set of very loosely bound states close to the three-body threshold. In the limit of infinite scattering length, the three-body system has infinitely many bound states. If, however, the two-body subsystems have deep lying two-body bound states, the Efimov states lie over the corresponding thresholds for breakup. We have calculated the positions and widths of these Feshbach resonances for some simple potentials numerically and have extracted the systematics. We explore the possibility of observing such Efimov resonances in atom-diatom scattering experiments with alkali atoms.
Few-body systems with access to multiple internal levels exhibit richness beyond that typically found in their single-level counterparts. One example is that of Efimov states in strongly-correlated spinor three-body systems. In [V. E. Colussi, C. H. Greene, and J. P. D'Incao, Phys. Rev. Lett. 113, 045302 (2014)] this problem was analyzed for spinor condensates finding a complex level structure as in an early work [Bulgac and Efimov, Sov. J. Nucl. Phys. 22, 153 (1976)] in nuclear physics, and the impact of Efimov physics on the general form of the scattering observables was worked out. In this paper we discuss the appearance of novel families of Efimov states in the spinor three-body problem.
Few-body systems with access to multiple internal levels exhibit richness beyond that typically found in their single-level counterparts. One example is that of Efimov states in strongly-correlated spinor three-body systems. In [V. E. Colussi, C. H. Greene, and J. P. D’Incao, Phys. Rev. Lett. 113, 045302 (2014)] this problem was analyzed for spinor condensates finding a complex level structure as in an early work [Bulgac and Efimov, Sov. J. Nucl. Phys. 22, 153 (1976)] in nuclear physics, and the impact of Efimov physics on the general form of the scattering observables was worked out. In this paper we discuss the appearance of novel families of Efimov states in the spinor three-body problem.
We calculate shallow three-body bound states in the universal regime, defined by Efimov, with inclusion of both scattering length and effective range parameters. We find corrections to the universal scaling laws for large binding energies. For narrow resonances we find a distinct nonmonotonic behavior of the threshold at which the lowest Efimov trimer merges with the three-body continuum. The origin of the three-body parameter is related to the two-body atom-atom interactions in a physically clear model. Our results demonstrate that experimental information from narrow Feshbach resonances and/or mixed systems are of vital importance to pin down the relation of two- and three-body physics in atomic systems.
Armed with a new solution to the four-body problem, we reanalyze the recent Innsbruck observation of an Efimov resonance in three-body collisions of cesium atoms, and show that it provides evidence of new, universal four-body physics as well. Our theoretical treatment of four bosonic atoms in the limit of strong two-body attraction suggests a ubiquitous result: namely, that resonantly-bound states of all four atoms should occur whenever the two-body scattering length is a specific fraction (0.43) of the value where a three-body Efimov resonance occurs. A hitherto unanalyzed feature in the 2006 Innsbruck experiment supports this universal prediction, and it provides the first known evidence to date that a direct four-body recombination process plays a role. While we confirm the conclusion reached previously by some studies that no true Efimov effect exists for four particles, we demonstrate the existence of a universal class of four-body states that are intimately connected with three-body Efimov states.