Key points are not available for this paper at this time.
The persistence of effective light cones in long-range interacting quantum systems remains a significant and intriguing conundrum. In this paper, we theoretically reveal a mechanism in Heisenberg spin chains at low temperatures, wherein subsystems resist entanglement despite the onset of entangling effects in quench scenarios. This mechanism is attributed to destructive interference among quasi-particles outside an effective light cone. Furthermore, we establish a necessary condition for the occurrence of the destructive interference phenomenon. We demonstrate that for 1-D power-law decay interactions, specifically those following |d₈₉|^-p, destructive interference occurs when p>2. As shown through theoretical and numerical analysis, this destructive interference results in an unexpected acceleration of entanglement propagation when the interaction range is truncated. This prediction is proposed to be observable experimentally in chains of trapped ions as a direct manifestation of the destructive interference effect.
Azodi et al. (Tue,) studied this question.