Resonant dynamics of dipole-conserving Bose-Hubbard model with time-dependent tensor electric fields

TL;DR

This paper proposes a method to control dipole and fracton excitations in a Bose-Hubbard model using a time-dependent tensor electric field, revealing resonant dynamics driven by photon-assisted tunneling.

Contribution

It introduces a scheme to generate and analyze a time-dependent tensor electric field in a dipole-conserving Bose-Hubbard model, enabling control over excitation dynamics.

Findings

Large dipoles split under resonant driving with photon-assisted tunneling.

Small dipoles' movement can be controlled by drive amplitude.

Dynamics are dominated by resonant interactions at specific frequencies.

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.