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Pairing in SU(6) $\times$ SU(2) one-dimensional fermionic clusters

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URI
http://hdl.handle.net/10433/10525
DOI
https://dx.doi.org/10.1103/PhysRevA.102.023335
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Gordillo, M.C.Autoridad UPO Orcid Dialnet Scopus
Palabras clave
1D cold gases
Fermions
Publication date
2020-08-31
Abstract
We present diffusion Monte Carlo (DMC) calculations on the behavior of a mixture of $^{173}$Yb and $^{171}$Yb fermionic isotopes in a one-dimensional environment. The interaction parameters between species were modeled by delta potentials, whose strengths were taken from their experimental scattering lengths and varied by changing the transversal confinement. This implies a repulsive interaction for the $^{173}$Yb-$^{173}$Yb pair, a strong attractive one for the $^{173}$Yb-$^{171}$Yb set and a weak attraction between $^{171}$Yb-$^{171}$Yb atoms. Those arrangements were described by a corrected geminal multiplied by the appropriate set of Jastrow functions. We found that, for the same number of strong attractive pairs, the width of the cluster decreases when the number of fermionic species increases, the narrower cluster being the one that includes a mixture of six $^{173}$Yb species and two $^{171}$Yb spin types.
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Proyecto FIS2017-84114-C2-2-P

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