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Motivated by a recent experiment by ENS group on the mixture of Bose and Fermi superfluids (arxiv:1404.2548), we investigate the effective scattering between a bosonic atom and a molecule(dimer) of fermion atoms. It is found that the…

Quantum Gases · Physics 2014-10-30 Xiaoling Cui

Using the framework of effective field theory, we present a detailed study of the Efimov effect in higher partial waves for systems of two identical particles and a third distinguishable particle. Depending on the total angular momentum…

Quantum Gases · Physics 2015-05-28 K. Helfrich , H. -W. Hammer

We develop a diagrammatic approach for solving few-body problems in heteronuclear fermionic mixtures near a narrow interspecies Feshbach resonance. We calculate s-, p-, and d-wave phaseshifts for the scattering of an atom by a weakly-bound…

Quantum Gases · Physics 2011-12-01 J. Levinsen , D. S. Petrov

We consider the problem of obtaining the scattering length for a fermion colliding with a dimer, formed from a fermion identical to the incident one and another different fermion. This is done in the universal regime where the range of…

Quantum Gases · Physics 2013-05-29 F. Alzetto , R. Combescot , X. Leyronas

We investigate the three-body properties of two identical "up" fermions and one distinguishable "down" atom interacting in a strongly confined two-dimensional geometry. We compute exactly the atom-dimer scattering properties and the…

Quantum Gases · Physics 2013-04-24 V. Ngampruetikorn , Meera M. Parish , J. Levinsen

Motivated by recent experimental progresses, we investigate few-body properties of interacting spinless bosons nearby a d-wave resonance. Using the Skorniakov-Ter-Martirosion (STM) equations, we calculate the scattering length between an…

Quantum Gases · Physics 2019-01-09 Juan Yao , Pengfei Zhang , Ran Qi , Hui Zhai

Ultracold gases of three distinguishable particles with large scattering lengths are expected to show rich few-body physics related to the Efimov effect. We have created three different mixtures of ultracold 6Li atoms and weakly bound 6Li2…

Quantum Gases · Physics 2010-09-09 T. Lompe , T. B. Ottenstein , F. Serwane , K. Viering , A. N. Wenz , G. Zürn , S. Jochim

We study the three-body problem of two ultracold identical bosonic atoms (denoted by $B$) and one extra atom (denoted by $X$), where the scattering length $a_{BX}$ between each bosonic atom and atom $X$ is resonantly large and positive. We…

Quantum Gases · Physics 2018-04-11 Chao Gao , Peng Zhang

We present an exact diagrammatic approach for the problem of dimer-dimer scattering in 3D for dimers being a resonant bound state of two fermions in a spin-singlet state, with corresponding scattering length $a_F$. Applying this approach to…

Strongly Correlated Electrons · Physics 2016-08-16 I. V. Brodsky , A. V. Klaptsov , M. Yu. Kagan , R. Combescot , X. Leyronas

We propose a systematic T-matrix approach to solve few-body problems with s-wave contact interactions in ultracold atomic gases. The problem is generally reduced to a matrix equation expanded by a set of orthogonal molecular states,…

Quantum Gases · Physics 2015-03-17 Xiaoling Cui

Three-body systems with large scattering length display universal phenomena associated with a discrete scaling symmetry. These phenomena include resonant enhancement of three-body loss rates when an Efimov three-body resonance is at the…

Other Condensed Matter · Physics 2009-08-03 Kerstin Helfrich , H. -W. Hammer

We consider fermion-dimer scattering in the presence of a large positive scattering length in the frame of functional renormalization group equations. A flow equation for the momentum dependent fermion-dimer scattering amplitude is derived…

Statistical Mechanics · Physics 2008-11-26 S. Diehl , H. C. Krahl , M. Scherer

We study the recombination process of three atoms scattering into an atom and diatomic molecule in heteronuclear mixtures of ultracold atomic gases with large and positive interspecies scattering length at finite temperature. We calculate…

Quantum Gases · Physics 2017-09-13 Samuel B. Emmons , Daekyoung Kang , Bijaya Acharya , Lucas Platter

We use the composite boson (coboson) many-body formalism to tackle scattering lengths for cold fermionic atoms. We show that bound dimers can be taken as elementary entities provided that fermion exchanges between them are treated exactly,…

Quantum Gases · Physics 2018-12-11 Shiue-Yuan Shiau , Ching-Hang Chien , Yia-Chung Chang , Monique Combescot

We consider the problem of a fixed impurity coupled to a small number $N$ of non-interacting bosons. We focus on impurity-boson interactions that are mediated by a closed-channel molecule, as is the case for tuneable interatomic…

Quantum Gases · Physics 2018-12-19 Shuhei M. Yoshida , Zhe-Yu Shi , Jesper Levinsen , Meera M. Parish

Two-body dissipation usually gives rise to a complex interaction. Here, we study the effect of two-body dissipation on few-body physics, including the fundamental two-body effective scattering and the three-body Efimov physics. By employing…

Quantum Gases · Physics 2021-12-30 Lihong Zhou , Xiaoling Cui

We study the zero-energy collision of three fermions, two of which are in the spin-down ($\downarrow$) state and one of which is in the spin-up ($\uparrow$) state. Assuming that the two-body and the three-body interactions have a finite…

Quantum Gases · Physics 2025-03-17 Jiansen Zhang , Zipeng Wang , Shina Tan

We study the three-body problem for both fermionic and bosonic cold atom gases in a parabolic transverse trap of lengthscale $a_\perp$. For this quasi-one-dimensional (1D) problem, there is a two-body bound state (dimer) for any sign of the…

Statistical Mechanics · Physics 2007-05-23 C. Mora , R. Egger , A. O. Gogolin

We solve the three-body problem of an ultracold Fermi gas with parabolic confinement length $a_\perp$ and 3D scattering length $a$. On the two-body level, there is a Feshbach-type resonance at $a_\perp/a\approx 1.46$, and a dimer state for…

Statistical Mechanics · Physics 2007-05-23 C. Mora , R. Egger , A. O. Gogolin , A. Komnik

We consider collisional properties of weakly bound heteronuclear molecules (dimers) formed in a two-species mixture of atoms with a large mass difference. We focus on dimers containing light fermionic atoms as they manifest collisional…

Statistical Mechanics · Physics 2008-03-15 B. Marcelis , S. J. J. M. F. Kokkelmans , G. V. Shlyapnikov , D. S. Petrov
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