Bogoliubov Approach to Superfluidity of Atoms in an Optical Lattice
A M. Rey, Karen G. Burnett, R Roth, M Edwards, Carl J. Williams, Charles W. Clark
We use the Bogoliubov theory of atoms in an optical lattice to the study the approach to the Mott-insulator transition. We derive an explicit expression for the superfluid density based on the rigidity of the system under phase variations. This enables us to explore the connection between the quantum depletion of the condensate and the quasi-momentum distribution on the one hand and the superfluid fraction on the other. The approach to the insulator phase may be characterized through the filling of the band by quantum depletion, which should be directly observable via the matter wave interference patterns. We complement these findings by self-consistent Hartree-Fock-Bogoliubov-Popov calculations for one-dimensional lattices, including the effects of a parabolic trapping potential.
Journal of Physics B-Atomic Molecular and Optical Physics
, Burnett, K.
, Roth, R.
, Edwards, M.
, Williams, C.
and Clark, C.
Bogoliubov Approach to Superfluidity of Atoms in an Optical Lattice, Journal of Physics B-Atomic Molecular and Optical Physics
(Accessed June 3, 2023)