We show that coupling ultracold atoms in optical lattices to quantized modes of an optical cavity leads to quantum phases of matter, which at the same time posses properties of systems with both short- and long-range interactions. This opens perspectives for novel quantum simulators of finite-range interacting systems, even though the light-induced interaction is global (i.e. infinitely long range). This is achieved by spatial structuring of the global light-matter coupling at a microscopic scale. Such simulators can directly benefit from the collective enhancement of the global light-matter interaction and constitute an alternative to standard approaches using Rydberg atoms or polar molecules. The system in the steady state of light induces effective many-body interactions that change the landscape of the phase diagram of the typical Bose-Hubbard model. Therefore, the system can support non-trivial superfluid states, bosonic dimer, trimers, etc. states and supersolid phases depending on the choice of the wavelength and pattern of the light with respect to the classical optical lattice potential. We find that by carefully choosing the system parameters one can investigate diverse strongly correlated physics with the same setup, i.e., modifying the geometry of light beams. In particular, we present the interplay between the density and bond (or matter-wave coherence) interactions. We show how to tune the effective interaction length in such a hybrid system with both short-range and global interactions.
Universal Dynamics with Globally Controlled Analog Quantum Simulators
Department of Physics, Harvard University（哈佛大学物理系）；School of Engineering and Applied Sciences, Harvard University（哈佛大学工程与应用科学学院）；Robotics Institute, Carnegie Mellon University（卡内基梅隆大学机器人研究所）；Harmoniqs, Inc.（Harmoniqs公司）；Department of Mathematics, Harvard University（哈佛大学数学系）
Experimental observation of Higgs oscillations and their power-law decay across pairing regimes in a cavity QED quantum simulator
JILA, NIST and University of Colorado（JILA，美国国家标准与技术研究院和科罗拉多大学）；Department of Physics, University of Colorado（科罗拉多大学物理系）；Pritzker School of Molecular Engineering, University of Chicago（芝加哥大学普里茨克分子工程学院）；Center for Theory of Quantum Matter, University of Colorado（科罗拉多大学量子物质理论中心）；Thomas J. Watson, Sr., Laboratory of Applied Physics, Kavli Nanoscience Institute, and Institute for Quantum Information and Matter, California Institute of Technology（加州理工学院托马斯·J·沃森Sr.应用物理实验室、卡弗里纳米科学研究所和量子信息与物质研究所）
Selective Control and Imaging of Higgs and Goldstone Modes with a Quantum Simulator
Stanford University（斯坦福大学）；Google Quantum AI（谷歌量子人工智能）；Cornell University（康奈尔大学）；Kavli Institute for Theoretical Physics, University of California, Santa Barbara（加州大学圣塔芭芭拉分校卡弗里理论物理研究所）
Characterizing quasiparticles in strongly correlated systems using nonlinear spectroscopy in 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苏黎世研究实验室）；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）；Fakultät für Physik, Ludwig-Maximilians-Universität（路德维希-马克西米利安大学物理学院）
