We study the effect of time-periodically varying the hopping amplitude in a one-dimensional Bose-Hubbard model, such that its time-averaged value is zero. Employing Floquet theory, we derive a static effective Hamiltonian in which nearest-neighbor single-particle hopping processes are suppressed, but all even higher-order processes are allowed. Unusual many-body features arise from the combined effect of nonlocal interactions and correlated tunneling. At a critical value of the driving, the system passes from a Mott insulator to a superfluid formed by two quasi-condensates with opposite nonzero momenta. This work shows how driving of the hopping energy provides a novel form of Floquet engineering, which enables atypical Hamiltonians and exotic states of matter to be produced and controlled.
University of Maryland（马里兰大学）；Institute for Physical Science and Technology, University of Maryland（马里兰大学物理科学与技术研究院）；Condensed Matter Theory Center, Department of Physics, University of Maryland（马里兰大学物理系凝聚态理论中心）
Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
Universidad Complutense de Madrid（马德里康普顿斯大学）；Collège de France（法兰西公学院）；CNRS（法国国家科学研究中心）；PSL Research University（巴黎文理研究大学）；Sorbonne Université（索邦大学）；International Solvay Institutes（国际索尔维研究所）
