Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices

F. Heidrich-Meisner, G. Orso, and A. E. Feiguin
Phys. Rev. A 81, 053602 – Published 6 May 2010

Abstract

We calculate the density profiles of a trapped spin-imbalanced Fermi gas with attractive interactions in a one-dimensional optical lattice, using both the local-density approximation (LDA) and density-matrix renormalization-group (DMRG) simulations. Based on the exact equation of state obtained by Bethe ansatz, the LDA predicts that the gas phase separates into shells with a partially polarized core and fully paired wings, the latter occurring below a critical spin polarization. This behavior is also seen in numerically exact DMRG calculations at sufficiently large particle numbers. We show that, unlike in the continuum case, the critical polarization is a nonmonotonic function of the interaction strength and vanishes in the limit of large interactions.

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  • Received 1 February 2010

DOI:https://doi.org/10.1103/PhysRevA.81.053602

©2010 American Physical Society

Authors & Affiliations

F. Heidrich-Meisner1, G. Orso1, and A. E. Feiguin2

  • 1Department of Physics, Arnold Sommerfeld Center for Theoretical Physics, and Center for NanoScience, Ludwig-Maximilians-Universität München, D-80333 München, Germany
  • 2Department of Physics and Astronomy, University of Wyoming, Laramie, Wyoming 82071, USA

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Vol. 81, Iss. 5 — May 2010

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