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We investigate the problem of two atoms interacting via a short range s-wave potential in the presence of a deep optical lattice of arbitrary dimension $D$. Using a tight binding approach, we derive analytical results for the properties of…

其他凝聚态物理 · 物理学 2009-11-11 M. Wouters , G. Orso

We present a two-channel model to describe the quantum state of two atoms with finite-range interaction near a Feshbach resonance. This model provides a simple picture to analytically derive the wave function and the binding energy of the…

其他凝聚态物理 · 物理学 2007-05-23 Cheng Chin

We provide a theoretical framework describing slow-light polaritons interacting via atomic Rydberg states. We use a diagrammatic method to analytically derive the scattering properties of two polaritons. We identify parameter regimes where…

We solved analytically the three-body mass-imbalanced problem embedded in D dimensions for zero-range resonantly interacting particles. We derived the negative energy eigenstates of the three-body Schrodinger equation by imposing the…

原子物理 · 物理学 2022-09-07 D. S. Rosa , T. Frederico , G Krein , M. T. Yamashita

Compared to purely atomic collisions, ultracold collisions involving molecules have the potential to support a much larger number of Fano-Feshbach resonances due to the huge amount of ro-vibrational states available. In order to handle such…

原子物理 · 物理学 2015-06-04 Michael Mayle , Brandon P. Ruzic , John L. Bohn

We solve the two-particle s-wave scattering problem for ultracold atom gases confined in arbitrary quasi-one-dimensional trapping potentials, allowing for two different atom species. As a consequence, the center-of-mass and relative degrees…

其他凝聚态物理 · 物理学 2007-05-23 V. Peano , M. Thorwart , C. Mora , R. Egger

In this work, we discuss the results of the direct solution of the Eliashberg equations with finite bandwidth, in the cases of s- and d-wave symmetry for the pair wave function and in the presence of scattering from impurities. We show that…

超导电性 · 物理学 2015-06-25 G. A. Ummarino , R. S. Gonnelli

Three-body loss resonances associated with heavy-heavy-light Efimov states have been observed for over a decade in ultracold mixtures tuned near interspecies Feshbach resonances. For light-light-heavy systems, observing such resonances has…

量子气体 · 物理学 2025-12-24 Karim I. Elghazawy , Chris H. Greene

In the vicinity of a narrow Feshbach resonances Efimov features are expected to be characterized by the resonance's properties rather than the van der Waals length of the interatomic potential. Although this theoretical prediction is…

量子气体 · 物理学 2022-05-16 Ang Li , Yaakov Yudkin , Paul S. Julienne , Lev Khaykovich

In a recent article [M. Olshanii, Phys. Rev. Lett. {\bf 81}, 938 (1998)], an analytic solution of atom-atom scattering with a delta-function pseudopotential interaction in the presence of transverse harmonic confinement yielded an effective…

凝聚态物理 · 物理学 2009-11-07 T. Bergeman , M. G. Moore , M. Olshanii

The study of Efimov features and their relationships in $^{40}$K-$^{87}$Rb Mixtures has generated extensive discussion, yet the discrepancy between Efimov universality predictions based on the zero-range approximation and experimental…

原子物理 · 物理学 2025-03-11 Ning-Ning Gao , Hui-Li Han , Ting-Yun Shi

The Efimov effect was first predicted for three particles interacting at an $s$-wave resonance in three dimensions. Subsequent study showed that the same effect can be realized by considering two-body and three-body interactions in mixed…

量子气体 · 物理学 2017-09-27 Pengfei Zhang , Zhenhua Yu

The field of few-body physics has originally been motivated by understanding nuclear matter. New model systems to experimentally explore few-body quantum systems can now be realized in ultracold gases with tunable interactions. Albeit the…

其他凝聚态物理 · 物理学 2009-11-13 S. Knoop , F. Ferlaino , M. Mark , M. Berninger , H. Schoebel , H. -C. Naegerl , R. Grimm

This work studies the limits of far and near-field electromagnetic response of sub-wavelength scatterers, like the unitary limit and of lossless scatterers, and the ideal absorption limit of lossy particles. These limit behaviors are…

光学 · 物理学 2016-02-03 Remi Colom , Alexis Devilez , Nicolas Bonod , Brian Stout

We develop a simple model of shape resonances in electron-molecule collisions that is based on the modified effective-range expansion and analytical solutions of the Schrodinger equation for the long-range part of the interaction potential.…

原子物理 · 物理学 2008-06-02 Zbigniew Idziaszek , Grzegorz Karwasz

We discuss our recent observation of an atom-dimer Efimov resonance in an ultracold mixture of Cs atoms and Cs_2 Feshbach molecules [Nature Phys. 5, 227 (2009)]. We review our experimental procedure and present additional data involving a…

量子气体 · 物理学 2010-01-01 S. Knoop , F. Ferlaino , M. Berninger , M. Mark , H. -C. Nägerl , R. Grimm

We report the observation of a three-body recombination resonance in an ultracold gas of cesium atoms at a very large negative value of the $s$-wave scattering length. The resonance is identified as the second triatomic Efimov resonance,…

量子气体 · 物理学 2015-06-22 Bo Huang , Leonid A. Sidorenkov , Rudolf Grimm , Jeremy M. Hutson

The "avalanche mechanism" has been used to relate Efimov trimer states to certain enhanced atom loss features observed in ultracold atom gas experiments. These atom loss features are argued to be a signature of resonant atom-molecule…

量子气体 · 物理学 2014-07-21 Ming-Guang Hu , Ruth S. Bloom , Deborah S. Jin , Jonathan M. Goldwin

We use exact four-boson scattering equations in the momentum-space framework to study the universal properties of shallow Efimov tetramers and their dependence on the two-boson scattering length. We demonstrate that, in contrast to previous…

原子物理 · 物理学 2011-08-23 A. Deltuva

We have produced and detected molecules using a p-wave Feshbach resonance between 40K atoms. We have measured the binding energy and lifetime for these molecules and we find that the binding energy scales approximately linearly with…

其他凝聚态物理 · 物理学 2008-05-02 J. P. Gaebler , J. T. Stewart , J. L. Bohn , D. S. Jin
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