The Role of Fibonacci sequence in the Transport of Bose-Einstein Condensate Atoms in Optical Lattices

Abstract

P. Vignolo, Z. Akdeniz, and M. P. Tosi recently have investigated the mixture of 87Rb and 40K atoms under a Bose‐Hubbard tight‐binding model. In their work, 40K atoms that are localized in various configurations inside the lattice wells alter the lattice potential. They have evaluated the transport or 87Rb atoms driven by a constant force in a quasi‐one‐dimensional lattice. More recently, Y. Eksioglu, P. Vignolo, and M. P. Tosi have used the same model to calculate the transport of 87Rb atoms driven by a constant force through Fibonacci array of potential wells. In this presentation, we extended the previous works to deal the dependence of the site number effects on the transmittivity of the 87Rb atoms of the boson‐fermion mixture in a quasi‐periodic lattice. We then discuss the results obtained by altering the site number of the potential in the Fibonacci sequence.