Abstract
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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
