Resonant dynamics of dipole-conserving Bose-Hubbard model with time-dependent tensor electric fields
arXiv:2506.13159 · doi:10.1103/5vr6-fswh
Abstract
Recently, tensor gauge fields and their coupling to fracton phases of matter have attracted more and more research interest, and a series of novel quantum phenomena arising from the coupling has been predicted. In this article, we propose a theoretical scheme to construct a time-dependent rank-2 tensor electric field by introducing a periodically driving quadratic potential in a dipole-conserving Bose-Hubbard model, and investigate the dynamics of dipole and fracton excitations when the drive frequency is resonant with the on-site interaction. We find that the dynamics are dominated by the splitting of large dipoles with the photon-assisted correlated tunneling and the movement of small dipoles, both of which can be well controlled by the drive amplitude. Our work provides a possible approach for engineering the dynamics of dipole-conserving quantum systems via tensor gauge fields.
10 pages, 7 figures
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