Development of an apparatus for simultaneous trapping of $^{6}$Li-$^{87}$Rb mixtures

Ultracold dilute atomic gases are providing a new window into quantum physics, with particular regard to the first-principle study of various superfluid phenomena. It is critical, in order to open this window, to reach deeper Fermi degeneracy, and this requires, for Fermi-Bose mixtures, to optimize the heat capacity matching between the Fermi and the Bose gases. After discussing a thermodynamical model showing that heat capacity matching is improved by using species selective traps, we discuss the status of an apparatus in which we trap fermionic $^{6}$Li and bosonic $^{87}$Rb in a magneto-optical trap.