2008/02/29 by M. Iskin, Carl J. Williams, C. J. Williams · 20 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #Formalism (music) #Hamiltonian (control theory) #Optical lattice #Physics #Population #Quantum mechanics #Quantum, superfluid, helium dynamics #Superfluidity #cond-mat.other #cond-mat.supr-con
paper · pdf · doi:10.1103/physreva.78.011603
published in Physical Review A 78(1) (American Physical Society) · 4 pages with 4 figures, accepted to appear in PRA
arxiv created 2008/07/01 · openalex publication_date 2008/07/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.