Two-component Fermi vapor in a two-dimensional rotating trap

Abstract

An exactly solvable model of two-component interacting Fermi vapor in two dimensions within the Thomas-Fermi approach has been proposed. We assume a realistic off-diagonal s-wave interaction between fermions in the two hyperfine states. The interaction is taken to be given by a screened Coulomb interaction, which is both physically relevant and analytically tractable. There are two distinct limits in the case of trapped fermionic systems: When the rotating frequency is much less than the trap frequency, the Thomas-Fermi approach may be used for a reasonably large number of particles. In the case of rapidly rotating fermions, an alternative variational approach is used, where the local-density approximation is applied after projecting the system on to the lowest degenerate level. Analytic expressions for the relevant physical quantities are obtained and their significance is discussed in both these cases.