Suppression of heating by long-range interactions in periodically driven spin chains

We propose a mechanism to suppress heating in periodically driven many-body quantum systems by employing sufficiently long-range interactions and experimentally relevant initial conditions. The mechanism is robust to local perturbations and does not rely on disorder or high driving frequencies. Instead, it makes use of an approximate fragmentation of the many-body spectrum of the nondriven system into bands, with band gaps that grow with the system size. We show that when these systems are driven, there is a regime where decreasing the driving frequency decreases heating and entanglement buildup. This is demonstrated numerically for a prototypical system of spins in one dimension, but the results can be readily generalized to higher dimensions.