Matter-wave quantum dots and antidots in ultracold atomic Bose-Fermi mixtures

Mario Salerno
2005 Physical Review A. Atomic, Molecular, and Optical Physics  
The properties of ultracold atomic Bose-Fermi mixtures in external potentials are investigated and the existence of gap solitons of Bose-Fermi mixtures in optical lattices demonstrated. Using a self-consistent approach we compute the energy spectrum and show that gap solitons can be viewed as matter wave realizations of quantum dots (anti-dots) with the bosonic density playing the role of trapping (expulsive) potential for the fermions. The fermionic states trapped in the condensate are shown
more » ... densate are shown to be at the bottom of the Fermi sea and therefore well protected from thermal decoherence. Energy levels, filling factors and parameters dependence of gap soliton quantum dots are also calculated both numerically and analytically.
doi:10.1103/physreva.72.063602 fatcat:vgocgcze7rgg7pftvs4tvyynha