Researcher: Bölükbaşı, Ahmet Tuna
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Bölükbaşı, Ahmet Tuna
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Publication Open Access On the SU(3) parametrization of qutrits(Institute of Physics (IOP) Publishing, 2006) Department of Physics; Bölükbaşı, Ahmet Tuna; Dereli, Tekin; Faculty Member; Department of Physics; College of Sciences; Graduate School of Sciences and Engineering; N/A; 201358Parametrization of qutrits on the complex projective plane CP2 = SU(3)/U(2) is given explicitly. A set of constraints that characterize mixed state density matrices is found.Publication Open Access Superfluid-Mott-insulator transition in the spin-orbit-coupled Bose-Hubbard model(American Physical Society (APS), 2014) Department of Physics; Işkın, Menderes; Bölükbaşı, Ahmet Tuna; Faculty Member; Department of Physics; College of Sciences; 29659; N/AWe consider a square optical lattice in two dimensions and study the effects of both the strength and symmetry of spin-orbit coupling and Zeeman field on the ground-state, i.e., Mott-insulator (MI) and superfluid (SF), phases and phase diagram, i.e., MI-SF phase-transition boundary, of the two-component Bose-Hubbard model. In particular, based on a variational Gutzwiller ansatz, our numerical calculations show that the spin-orbit-coupled SF phase is a nonuniform (twisted) one, with its phase (but not the magnitude) of the order parameter modulating from site to site. Fully analytical insights into the numerical results are also given.