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Monte Carlo Calculations for Fermi Gases in the Unitary Limit with a Zero-Range Interaction

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Abstract

An ultracold Fermi gas with a zero-range attractive potential in the unitary limit is investigated using variational and diffusion Monte Carlo methods. Previous calculations have used a finite-range interaction and extrapolate the results to zero-range. Here we extend the quantum Monte Carlo method to directly use a zero-range interaction without the need of an extrapolation. We employ a trial wave function with the correct boundary conditions and modify the sampling procedures to handle the zero-range interaction. The results are reliable and have low variance.

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Acknowledgments

R.P. was financially supported by the Brazilian agency CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior) Proc. n. 11540/13-3. Part of the computations was performed at the CENAPAD high-performance computing facility at Universidade Estadual de Campinas and at the laboratory of scientific computation of Universidade Federal de Goiás. SAV acknowledges the financial support from FAPESP under grant 2010/10072-0. KES would like to thank the Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas - UNICAMP, for their hospitality where some of this work was performed. KES was partially supported by CAPES-PVE-087/2012 and by the National Science Foundation grant, PHY-1404405.

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Authors and Affiliations

  1. Instituto de Física, Universidade Federal de Goiás (UFG), Caixa Postal 131, Goiânia, GO, 74001-970, Brazil

    Renato Pessoa

  2. Department of Physics and Astronomy, Arizona State University, Tempe, Arizona, 85287, USA

    Renato Pessoa & K. E. Schmidt

  3. Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas - UNICAMP, Caixa Postal 6165, Campinas, SP, 13083-970, Brazil

    S. A. Vitiello

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  1. Renato Pessoa
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  2. S. A. Vitiello
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  3. K. E. Schmidt
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Correspondence to Renato Pessoa.

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Pessoa, R., Vitiello, S.A. & Schmidt, K.E. Monte Carlo Calculations for Fermi Gases in the Unitary Limit with a Zero-Range Interaction. J Low Temp Phys 180, 168–179 (2015). https://doi.org/10.1007/s10909-015-1283-0

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