2008/03/28 by D. Blume
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Subatomic Physics Research #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Effective mass (spring–mass system) #Excitation #Fermi Gamma-ray Space Telescope #Fermion #Lattice (music) #Mass ratio #Optical lattice #Physics #Quantum mechanics #Quantum tunnelling #cond-mat.other
paper · pdf · doi:10.1103/physreva.78.013613
13 pages, 9 figures
arxiv created 2008/03/28 · openalex publication_date 2008/07/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by the prospect of optical lattice experiments with two-component Fermi gases consisting of different atomic species such as Li and K, we calculate the energies for N fermions under harmonic confinement as a function of the mass and trap imbalance, i.e., as a function of the ratio between the masses and frequencies of species one and two, using microscopic approaches. Our energies for N=2\ensuremath-6 can be used to determine the energetically most favorable configuration for a given number of atoms per species of a deep lattice in which each lattice site is approximately harmonic and in which tunneling between neighboring sites can be neglected. We also determine and interpret the excitation gap for unequal-mass systems with up to N=13 atoms for equal oscillator lengths.