Dimer-atom scattering between two identical fermions and a third particle

Iskin, M.

doi:10.1103/physreva.81.043634

Cited by 17 publications

(25 citation statements)

References 30 publications

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“…Note that here we are using the exact relation between a DF and a, as obtained from the solution of the three-body problem [39]. The behavior of the density profiles is consistent with analogous plots reported previously for Fermi-Fermi mixtures (albeit with equal populations [40,41]).…”

Section: Trapped Systemsupporting

confidence: 83%

Bose-Fermi mixtures in the molecular limit

et al. 2014

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We consider a Bose-Fermi mixture in the molecular limit of the attractive interaction between fermions and bosons. For a boson density smaller or equal to the fermion density, we show analytically how a T-matrix approach for the constituent bosons and fermions recovers the expected physical limit of a Fermi-Fermi mixture of molecules and atoms. In this limit, we derive simple expressions for the self-energies, the momentum distribution function, and the chemical potentials. By extending these equations to a trapped system, we determine how to tailor the experimental parameters of a Bose-Fermi mixture in order to enhance the indirect Pauli exclusion effect on the boson momentum distribution function. For the homogeneous system, we present finally a Diffusion Monte Carlo simulation which confirms the occurrence of such a peculiar effect.

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Section: Trapped Systemsupporting

confidence: 83%

Bose-Fermi mixtures in the molecular limit

et al. 2014

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“…To determine the trimer energy E 3 M in the medium, we consider the three-body T-matrix equation [75,76] which is diagrammatically shown in figure 2. In the vacuum case, it gives the so-called STM equation which exactly describes Efimov physics in three-body problems.…”

Section: In-medium Stm Equationmentioning

confidence: 99%

“…Since we calculate the ground-state trimer energy E 3 M with the medium effects, we set P 0, i l z = ( )in the threebody T-matrix equation given by equation (10) [75,76] (where iζ l =(2l+1)π T is the fermionic Matsubara frequency). We obtain T p p P g T G P p q G q D P q T q p P , ; 2 , ; , where we ignore the first term of rhs of equation (10) which is negligible near the pole of T 3 M .…”

Section: Appendix Derivation Of the In-medium Stm Equationmentioning

confidence: 99%

Quantum chromodynamics (QCD)-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases

Tajima

Naidon

2019

New J. Phys.

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We investigate color superfluidity and trimer formation in resonantly interacting SU(3) Fermi gases with a finite interaction range. The finite range is crucial to avoid the Thomas collapse and treat the Efimov effect occurring in this system. Using the Skorniakov-Ter-Martirosian equation with medium effects, we show the effects of the atomic Fermi distribution on the Efimov trimer energy at finite temperature. We show the critical temperature of color superfluidity within the many-body T-matrix approximation. In this way, we can provide a first insight into the phase diagram as a function of the temperature T and the chemical potential μ. This phase diagram consists of trimer, normal, and colorsuperfluid phases, and is similar to that of quantum chromodynamics at finite density and temperature.

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“…Next, we relate the scattering length a ad of an atom and a dimer in the large volume L 3 to the ground state energy E (ad) g , as in Eq. (12). To do it, we first rewrite Eq.…”

Section: A Coboson Formalismmentioning

confidence: 99%

Coboson many-body formalism for atom–dimer scattering length

et al. 2019

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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, as can be done through the coboson formalism. This alternative tool extended to cold atom physics not only makes transparent manybody processes through Shiva diagrams specific to cobosons, but also simplifies calculations. Indeed, the integral equation we derive for the atom-dimer scattering length and solve by restricting the dimer relative motion to the ground state, gives values in remarkable agreement with the exact scattering length values for all fermion mass ratios. This remarkable agreement also holds true for the dimer-dimer scattering length, except for equal fermion masses where our restricted procedure gives a value slightly larger than the accepted one (0.64a d instead of 0.60a d ). All this proves that the scattering of a cold-atom dimer with an atom or another dimer is essentially controlled by the dimer relative-motion ground state, a physical result not obvious at first.

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Dimer-atom scattering between two identical fermions and a third particle

Cited by 17 publications

References 30 publications

Bose-Fermi mixtures in the molecular limit

Bose-Fermi mixtures in the molecular limit

Quantum chromodynamics (QCD)-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases

Coboson many-body formalism for atom–dimer scattering length

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