Zero-range Fermi gas along the BCS-BEC crossover

Renato Pessoa; S. A. Vitiello; K. E. Schmidt

doi:10.1103/PhysRevA.100.053601

Zero-range Fermi gas along the BCS-BEC crossover

Renato Pessoa, S. A. Vitiello, K. E. Schmidt

Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Properties of the ground state of an unpolarized ultracold Fermi gas along the BCS-BEC crossover are investigated by the variational and diffusion Monte Carlo methods. We apply the Wigner-Bethe-Peierls boundary condition in our calculations to avoid any bias from using an interatomic potential with finite effective range. Properties for several values of the scattering length are studied in the range-8≤1/akF≤4, including the unitary limit. The contact parameters as a function of scattering length are obtained by fitting the pair distribution functions for particles with different spins. The energies and contact parameters are in very good agreement with experimental data reported in the literature.

Original language	English (US)
Article number	053601
Journal	Physical Review A
Volume	100
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.100.053601
State	Published - Nov 4 2019

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.100.053601

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title = "Zero-range Fermi gas along the BCS-BEC crossover",

abstract = "Properties of the ground state of an unpolarized ultracold Fermi gas along the BCS-BEC crossover are investigated by the variational and diffusion Monte Carlo methods. We apply the Wigner-Bethe-Peierls boundary condition in our calculations to avoid any bias from using an interatomic potential with finite effective range. Properties for several values of the scattering length are studied in the range-8≤1/akF≤4, including the unitary limit. The contact parameters as a function of scattering length are obtained by fitting the pair distribution functions for particles with different spins. The energies and contact parameters are in very good agreement with experimental data reported in the literature.",

author = "Renato Pessoa and Vitiello, {S. A.} and Schmidt, {K. E.}",

note = "Funding Information: The authors acknowledge financial support from the Brazilian agencies Funda{\c c}{\~a}o de Amparo {\`a} Pesquisa do Estado de S{\~a}o Paulo project (Proc. No. 2016/17612-7). Part of the computations was performed at the Centro Nacional de Processamento de Alto Desempenho em S{\~a}o Paulo. R.P. acknowledges the Funda{\c c}{\~a}o de Amparo {\`a} Pesquisa do Estado de Goi{\'a}s and the computer resources of the Laborat{\'o}rio de Computa{\c c}{\~a}o Cient{\'i}fica - Universidade Federal de Goi{\'a}s. K.E.S. was supported by NSF Grant No. PHY-1404405. Publisher Copyright: {\textcopyright} 2019 American Physical Society. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",

year = "2019",

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doi = "10.1103/PhysRevA.100.053601",

language = "English (US)",

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AU - Pessoa, Renato

AU - Vitiello, S. A.

AU - Schmidt, K. E.

N1 - Funding Information: The authors acknowledge financial support from the Brazilian agencies Fundação de Amparo à Pesquisa do Estado de São Paulo project (Proc. No. 2016/17612-7). Part of the computations was performed at the Centro Nacional de Processamento de Alto Desempenho em São Paulo. R.P. acknowledges the Fundação de Amparo à Pesquisa do Estado de Goiás and the computer resources of the Laboratório de Computação Científica - Universidade Federal de Goiás. K.E.S. was supported by NSF Grant No. PHY-1404405. Publisher Copyright: © 2019 American Physical Society. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019/11/4

Y1 - 2019/11/4

N2 - Properties of the ground state of an unpolarized ultracold Fermi gas along the BCS-BEC crossover are investigated by the variational and diffusion Monte Carlo methods. We apply the Wigner-Bethe-Peierls boundary condition in our calculations to avoid any bias from using an interatomic potential with finite effective range. Properties for several values of the scattering length are studied in the range-8≤1/akF≤4, including the unitary limit. The contact parameters as a function of scattering length are obtained by fitting the pair distribution functions for particles with different spins. The energies and contact parameters are in very good agreement with experimental data reported in the literature.

AB - Properties of the ground state of an unpolarized ultracold Fermi gas along the BCS-BEC crossover are investigated by the variational and diffusion Monte Carlo methods. We apply the Wigner-Bethe-Peierls boundary condition in our calculations to avoid any bias from using an interatomic potential with finite effective range. Properties for several values of the scattering length are studied in the range-8≤1/akF≤4, including the unitary limit. The contact parameters as a function of scattering length are obtained by fitting the pair distribution functions for particles with different spins. The energies and contact parameters are in very good agreement with experimental data reported in the literature.

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Zero-range Fermi gas along the BCS-BEC crossover

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