We present an efficient approach to precisely simulate tight binding models with optical lattices, based on programmable digital-micromirror-device (DMD) techniques. Our approach consists of a subroutine of Wegner-flow enabled precise extraction of a tight-binding model for a given optical potential, and a reverse engineering step of adjusting the potential for a targeting model, for both of which we develop classical algorithms to achieve high precision and high efficiency. With renormalization of Wannier functions and high band effects systematically calibrated in our protocol, we show the tight-binding models with programmable onsite energies and tunnelings can be precisely simulated with optical lattices integrated with the DMD techniques. With numerical simulation, we demonstrate that our approach would facilitate quantum simulation of localization physics with adequate programmability and atom-based boson sampling for illustration of quantum computational advantage. We expect this approach would pave a way towards large-scale and precise programmable quantum simulations based on optical lattices.

我们基于可编程数字微镜设备（DMD）技术，提出了一种有效的方法来精确模拟带有光学网格的紧密绑定模型。我们的方法包括Wegner-flow子程序，该子程序能够针对给定的光势精确提取紧密结合模型，以及调整目标模型势能的逆向工程步骤，为此，我们开发了经典算法来实现高精度高，效率高。通过对Wannier函数的重新归一化和在我们的协议中系统地校准的高频带效应，我们显示了具有可编程现场能量的紧密绑定模型，并且可以使用与DMD技术集成的光学晶格精确模拟隧道效应。通过数值模拟 我们证明了我们的方法将以足够的可编程性和基于原子的玻色子采样来促进局域物理的量子模拟，从而说明量子计算的优势。我们期望这种方法将为基于光学晶格的大规模，精确的可编程量子仿真铺平道路。