Pion and kaon condensations in three-flavor random matrix theory

We study the QCD phase structure in a three-flavor random matrix model with symmetries of QCD formulated at finite temperature and nonzero chemical potentials of baryon number, isospin, and strangeness. We numerically investigate the phase diagram in the chemical potential plane at zero temperature with finite quark masses. We find a rich phase structure separated by both first and second order phase transition lines, which qualitatively agrees with the predictions of effective chiral models and Nambu-Jona-Lasinio models. The phases are characterized by the chiral condensates of three flavors, pion and kaon condensates.