Evidence of spin liquid with hard-core bosons in a square lattice Abstract: We show that laser assisted hopping of hard core bosons in a square optical lattice can be described by an antiferromagnetic J1-J2 XY model with tunable ratio of J2=J1. We numerically investigate the phase diagram of the J1-J2 XY model using both the tensor network algorithm for infinite systems and the exact diagonalization for small clusters and find strong evidence that in the intermediate region around J2=J1 ∼ 0:5, there is a spin liquid phase with vanishing magnetization and valence bond orders, which interconnects the Neel state on the J2 ≪ J1 side and the stripe antiferromagnetic phase on the J2 ≫ J1 side. This finding opens up the possibility of studying the exotic spin liquid phase in a realistic experimental system using ultracold atoms in an optical lattice. Biography: I am currently a Ph.D. student in Department of Physics, University of Michigan-Ann Arbor. I received my Bachelor of Science in Physics from National Taiwan University. My research interests include Quantum simlation with cold atoms, Numberical simulation of strongly correlated systems, Topological quantum complutation with cold atoms and Dynamics and Non-equilibrium systems. |