Progress towards quantum simulating the classical O ( 2 ) Model

Progress towards quantum simulating the classical O(2) Model Report Title We connect explicitly the classical O(2) model in 1+1 dimensions, a model sharing important features with U(1) lattice gauge theory, to physical models potentially implementable on optical lattices and evolving at physical time. Using the tensor renormalization-group formulation, we take the time continuum limit and check that finitedimensional projections used in recent proposals for quantum simulators provide controllable approximations of the original model. We propose two-species Bose-Hubbard models corresponding to these finite-dimensional projections at strong coupling and discuss their possible implementations on optical lattices using a Rb87 and K41 Bose-Bose mixture. Progress towards quantum simulating the classical O(2) Model Approved for public release; distribution is unlimited. 62897.5-PH-REP REPORT DOCUMENTATION PAGE (SF298) (Continuation Sheet) Continuation for Block 13