Uni Köln
Three component fermionic systems gained considerable interest lately. As shown in [Rapp et. al., Phys. Rev. Lett. 98, 160405 (2007); Rapp et. al.Phys. Rev. B 77, 144520 (2008)], a quantum phase transition separates a color superfluid and a trionic phase in the attractive system with uniform interactions. The color superfluid/trionic phase diagram in the case of attractive interactions with SU(3) symmetry could also be compared to the hadronization phase diagram in quantum chromodynamics [Wilczek, Nature Physics 3, 375-376 (2007)]. Furthermore, recent experiments with ultracold 6-Li atoms demonstrated that the three component system can be studied experimentally [Ottenstein et.al., Phys. Rev. Lett. 101, 203202 (2008); Huckans et. al., arXiv:0810.3288]. There are also interesting phases competing in the presence of repulsive interactions [C. Honerkamp & W. Hofstetter, Phys. Rev. Lett. 92, 170403 (2004)]. We shall present a more complete phase diagram as a function of the interaction strength from strong attraction to strong repulsion, based on the Gutzwiller variational method.