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 unprecedented 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.
Programmable Fermionic Quantum Processors with Globally Controlled Lattices
Institute for Theoretical Physics, University of Innsbruck（因斯布鲁克大学理论物理研究所）；Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences（奥地利科学院量子光学与量子信息研究所）；Max Planck Institute of Quantum Optics（马克斯·普朗克量子光学研究所）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）
Machine learning discovery of new phases in programmable quantum simulator snapshots
Cornell University（康奈尔大学）；Harvard University（哈佛大学）；University of Innsbruck（因斯布鲁克大学）；Austrian Academy of Sciences（奥地利科学院）；Institute for Advanced Study（普林斯顿高等研究院）
Programmable Polaron Models and Tomography in Trapped-Ion Quantum Simulators
Institute for Theoretical Physics, ETH Zürich（苏黎世联邦理工学院理论物理研究所）；IBM Quantum, IBM Research – Zurich（IBM量子，IBM苏黎世研究中心）；Department of Physics and Astronomy and Smalley-Curl Institute, Rice University（莱斯大学天体物理学与天文系及Smalley-Curl研究所）；California Institute of Technology（加州理工学院）
