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Dimensional crossover in two-dimensional Bose-Fermi mixtures

  • Physics of Cold Trapped Atoms
  • Published:
Laser Physics

Abstract

We investigate the equilibrium properties of boson-fermion mixtures consisting of a Bose condensate and spin-polarized Fermi gas confined in a harmonic two-dimensional (2D) trap using mean-field theory. Boson-boson and boson-fermion coupling constants have a logarithmic dependence on the density because of the two-dimensional scattering events when the s-wave scattering lengths are on the order of mixture thickness. We show that this modifies the density profiles significantly. It is also shown that the dimensional crossover stabilizes the mixture against collapse and spatial demixing is observed for the case of a negative boson-fermion scattering length.

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Authors and Affiliations

  1. Department of Physics, Bilkent University, Bilkent, Ankara, 06800, Turkey

    A. L. Subaşi & B. Tanatar

  2. Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187, Dresden, Germany

    S. Sevinçli

  3. Institut Non Linéaire de Nice, Univeraité de Nice-Sophia Antipolis, CNRS, 1361 route de Lucioles, 06560, Valbonne, France

    P. Vignolo

Authors
  1. A. L. Subaşi
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  2. S. Sevinçli
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  3. P. Vignolo
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  4. B. Tanatar
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Correspondence to B. Tanatar.

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Original Russian Text © Astro, Ltd., 2010.

The article is published in the original.

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Subaşi, A.L., Sevinçli, S., Vignolo, P. et al. Dimensional crossover in two-dimensional Bose-Fermi mixtures. Laser Phys. 20, 683–693 (2010). https://doi.org/10.1134/S1054660X1005018X

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  • DOI: https://doi.org/10.1134/S1054660X1005018X

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