Following Feynman and as elaborated on by Lloyd, a universal quantum simulator (QS) is a controlled quantum device which reproduces the dynamics of any other many particle quantum system with short range interactions. This dynamics can refer to both coherent Hamiltonian and dissipative open system evolution. We investigate how laser excited Rydberg atoms in large spacing optical or magnetic lattices can provide an efficient implementation of a universal QS for spin models involving (high order) n-body interactions. This includes the simulation of Hamiltonians of exotic spin models involving n-particle constraints such as the Kitaev toric code, color code, and lattice gauge theories with spin liquid phases. In addition, it provides the ingredients for dissipative preparation of entangled states based on engineering n-particle reservoir couplings. The key basic building blocks of our architecture are efficient and high-fidelity n-qubit entangling gates via auxiliary Rydberg atoms, including a possible dissipative time step via optical pumping. This allows to mimic the time evolution of the system by a sequence of fast, parallel and high-fidelity n-particle coherent and dissipative Rydberg gates.
Dirac Spin Liquid Candidate in a Rydberg Quantum Simulator
Université Paris-Saclay, Institut d’Optique Graduate School, CNRS, Laboratoire Charles Fabry（巴黎萨克雷大学、高等光学学院、法国国家科学研究中心、夏尔·法布里实验室）；Princeton University（普林斯顿大学）；Harvard University（哈佛大学）；Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所）；Max-Born-Institut（马克斯·玻恩研究所）；Nanomaterials and Nanotechnology Research Center (CINN-CSIC), Universidad de Oviedo (UO)（纳米材料与纳米技术研究中心（CINN-CSIC）、阿斯图里亚斯大学）；Carnegie Mellon University（卡内基梅隆大学）
Spectroscopy of elementary excitations from quench dynamics in a dipolar XY Rydberg simulator
Université Paris-Saclay, Institut d’Optique Graduate School（巴黎萨克雷大学，高等光学学院）；CNRS（法国国家科学研究中心）；Univ Lyon, Ens de Lyon（里昂大学，里昂高等师范学校）；Department of Physics, Harvard University（哈佛大学物理系）；Department of Physics, Carnegie Mellon University（卡内基梅隆大学物理系）；Nanomaterials and Nanotechnology Research Center (CINN-CSIC), Universidad de Oviedo (UO)（阿斯图里亚斯公国奥维耶多大学（UO）纳米材料与纳米技术研究中心（CINN-CSIC））
Quantum criticality and nonequilibrium dynamics on a Lieb lattice of Rydberg atoms
Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）；University of Illinois at Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）；University of Toronto（多伦多大学）；QuEra Computing Inc.（QuEra计算公司）；Princeton University（普林斯顿大学）
Statistical Localization in a Rydberg Simulator of $U(1)$ Lattice Gauge Theory
Centre for Quantum Technologies and Department of Physics, National University of Singapore（新加坡国立大学量子技术中心与物理系）；Department of Physics, Stanford University（斯坦福大学物理系）；Duke Quantum Center, Duke University（杜克大学杜克量子中心）；Department of Electrical and Computer Engineering, Duke University（杜克大学电气与计算机工程系）；Department of Physics, Duke University（杜克大学物理系）
Rydberg Atoms in a Ladder Geometry: Quench Dynamics and Floquet Engineering
School of Physical Sciences, Indian Association for the Cultivation of Science（印度科学培养协会物理科学学院）；International Centre for Theoretical Sciences, Tata Institute of Fundamental Research（塔塔基础研究所国际理论科学中心）
Realization of a Rydberg-dressed extended Bose Hubbard model
Max-Planck-Institut für Quantenoptik（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）；Department of Physics and Arnold Sommerfeld Center for Theoretical Physics (ASC), Ludwig-Maximilians-Universität München（慕尼黑大学物理系与阿诺德·索末菲理论物理中心）；Institute of Theoretical Physics, University of Regensburg（雷根斯堡大学理论物理研究所）
Metastable confinement in Rydberg lattice gauge theories
Niels Bohr Institute, University of Copenhagen（哥本哈根大学尼尔斯·玻尔研究所）；State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University（清华大学物理系低维量子物理国家重点实验室）；The Abdus Salam International Centre for Theoretical Physics (ICTP)（阿卜杜斯·萨拉姆国际理论物理中心）；Frontier Science Center for Quantum Information（量子信息前沿科学中心）；Dipartimento di Fisica e Astronomia, Università di Bologna（博洛尼亚大学物理与天文学系）
Interplay of Confinement and Localization in a Programmable Rydberg Atom Chain
Jülich Supercomputing Centre, Forschungszentrum Jülich（于利希超级计算中心，于利希研究中心）；RWTH Aachen University（亚琛工业大学）；Department of Computer Science, University of Cologne（科隆大学计算机科学系）；Institute for Advanced Simulation, Forschungszentrum Jülich（于利希研究中心先进模拟研究所）；Jožef Stefan Institute（约瑟夫·斯蒂芬研究所）；CENN Nanocenter（CENN纳米中心）
Quantum criticality and factorization in a constrained Rydberg spin chain
School of Systems Science, Beijing Normal University（北京师范大学系统科学学院）；Center for the Cross-disciplinary Research of Space Science and Quantum-technologies (CROSS-Q), College of Physics, Nanjing University of Aeronautics and Astronautics（南京航空航天大学物理学院空间科学与量子技术交叉研究中心）；National Key Laboratory of Scattering and Radiation（散射与辐射国家重点实验室）
Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
