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Population-imbalanced fermions in harmonically trapped optical lattices

Published

Author(s)

Menderes Iskin, Carl J. Williams

Abstract

The attractive Fermi-Hubbard Hamiltonian is solved via the Bogoliubov-de Gennes formalism to analyze the ground state phases of population imbalanced fermion mixtures in harmonically trapped two-dimensional optical lattices. In the low density limit the superfluid order parameter modulates in the radial direction towards the trap edges to accommodate the unpaired fermions that are pushed away from the trap center with a single peak in their density. However, in the high density limit while the order parameter modulates in the radial direction towards the trap center for low imbalance, it also modulates towards the trap edges with increasing imbalance until the superfluid to normal phase transition occurs beyond a critical imbalance. This leads to a single peak in the density of unpaired fermions for low and high imbalance, but leads to double peaks for intermediate imbalance.
Citation
Physical Review Letters
Volume
78

Keywords

Superfluid Oscillations, Fulde-Ferrell-Larkin-Ovchinnikov, Trapped, Optical Lattices, Population Imbalanced Fermion Mixtures

Citation

Iskin, M. and Williams, C. (2008), Population-imbalanced fermions in harmonically trapped optical lattices, Physical Review Letters (Accessed October 22, 2021)
Created July 21, 2008, Updated February 17, 2017