4.1 Article

Emergence of N-Body Tunable Interactions in Universal Few-Atom Systems

Journal

BRAZILIAN JOURNAL OF PHYSICS
Volume 51, Issue 2, Pages 277-286

Publisher

SPRINGER
DOI: 10.1007/s13538-020-00810-6

Keywords

Few-atom systems; Universality; Feshbach resonances

Funding

  1. Conselho Nacional de Desenvolvimento Cientifico e Tecnologico [303579/2019-6, 308486/2015-3, 304469-2019-0]
  2. INCT-FNA [464898/2014-5]
  3. Fundacao de Amparo a Pesquisa do Estado de Sao Paulo [2019/00153-8, 2017/05660-0, 2019/07767-1]
  4. Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [19/00153-8] Funding Source: FAPESP

Ask authors/readers for more resources

This study investigates a three-atom molecule AAB formed by two identical bosons A and a distinct one B by considering coupled channels near a Feshbach resonance. The effective three-body interaction is revealed when the trap setup is tuned to vanishing scattering lengths. By introducing finite parameters and the energy gap, the s-wave transition matrix for the AA subsystem is obtained.
A three-atom molecule AAB, formed by two identical bosons A and a distinct one B, is studied by considering coupled channels close to a Feshbach resonance. It is assumed that the subsystems AB and AA have, respectively, one and two channels, where, in this case, AA has open and closed channels separated by an energy gap. The induced three-body interaction appearing in the single channel description is derived using the Feshbach projection operators for the open and closed channels. An effective three-body interaction is revealed in the limit where the trap setup is tuned to vanishing scattering lengths. The corresponding homogeneous coupled Faddeev integral equations are derived in the unitarity limit. The s-wave transition matrix for the AA subsystem is obtained with a zero-range potential by a subtractive renormalization scheme with the introduction of two finite parameters, besides the energy gap. The effect of the coupling between the channels in the coupled equations is identified with the energy gap, which essentially provides an ultraviolet scale that competes with the van der Waals radius-this sets the short-range physics of the system in the open channel. The competition occurring at short distances exemplifies the violation of the van der Waals universality for narrow Feshbach resonances in cold atomic setups. In this sense, the active role of the energy gap drives the short-range three-body physics.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.1
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available