%0 Journal Article
%T Overlaying optical lattices for simulation of complex frustrated antiferromagnets
%A Zhi-Xin Chen
%A Han Ma
%A Mo-Han Chen
%A Xiang-Fa Zhou
%A Lixin He
%A Guang-Can Guo
%A Xingxiang Zhou
%A Yan Chen
%A Zheng-Wei Zhou
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevA.85.013632
%X We present design techniques of special optical lattices that allow quantum simulation of spin frustration in two-dimensional systems. By carefully overlaying optical lattices with different periods and orientations, we are able to adjust the ratio between the nearest-neighbor and next-nearest-neighbor interaction strengths in a square spin lattice and realize frustration effects. We show that only laser beams of a single frequency is required, and the parameter space reachable in our design is broad enough to study the important phases in the $J_1$-$J_2$ frustrated Heisenberg model and checkerboard antiferromagnet model. By using the polarization spectroscopy for detection, distinct quantum phases and quantum phase transition points can be characterized straightforwardly. Our design thus offers a suitable setup for simulation of frustrated spin systems.
%U http://arxiv.org/abs/1212.5326v1