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

Heidrich-Meisner, F; Orso, G; Feiguin, A E

doi:10.1103/PHYSREVA.81.053602

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

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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.

Authors:

Heidrich-Meisner, F; Orso, G ^[1]; Feiguin, A E ^[2]

Department of Physics, Arnold Sommerfeld Center for Theoretical Physics, and Center for NanoScience, Ludwig-Maximilians-Universitaet Muenchen, D-80333 Muenchen (Germany)
Department of Physics and Astronomy, University of Wyoming, Laramie, Wyoming 82071 (United States)

Publication Date:: Sat May 15 00:00:00 EDT 2010

OSTI Identifier:: 21408860

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 81; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.81.053602; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; APPROXIMATIONS; DENSITY MATRIX; EQUATIONS OF STATE; FERMI GAS; FUNCTIONS; INTERACTIONS; ONE-DIMENSIONAL CALCULATIONS; PARTICLES; POLARIZATION; RENORMALIZATION; SIMULATION; SPIN; SPIN ORIENTATION; TRAPPING; ANGULAR MOMENTUM; CALCULATION METHODS; EQUATIONS; MATRICES; ORIENTATION; PARTICLE PROPERTIES

Citation Formats


                    Heidrich-Meisner, F, Orso, G, and Feiguin, A E. Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVA.81.053602.

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                    Heidrich-Meisner, F, Orso, G, & Feiguin, A E. Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices.  United States.  https://doi.org/10.1103/PHYSREVA.81.053602

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                    Heidrich-Meisner, F, Orso, G, and Feiguin, A E. 2010.  
        "Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices".  United States.  https://doi.org/10.1103/PHYSREVA.81.053602.

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@article{osti_21408860,

  title        = {Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices},

  author       = {Heidrich-Meisner, F and Orso, G and Feiguin, A E},

  abstractNote = {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.},

  doi          = {10.1103/PHYSREVA.81.053602},

  url          = {https://www.osti.gov/biblio/21408860},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 5,

  volume       = 81,

  place        = {United States},

  year         = {Sat May 15 00:00:00 EDT 2010},

  month        = {Sat May 15 00:00:00 EDT 2010}

}

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