Exact Mazur bounds in the pair-flip model and beyond

Exact Mazur bounds in the pair-flip model and beyond

Blog Article

By mapping the calculation of Mazur bounds to the enumeration of walks on fractal structures, we present exact bounds on the late-time behavior of spin autocorrelation functions in models exhibiting pair-flip dynamics and more general $p$-flip dynamics.While the pair-flip model is known to exhibit strong Hilbert space fragmentation, the effect of its nontrivial conservation laws on autocorrelation functions has, thus far, only been Inline - Parts - Bearings calculated numerically, which has led to incorrect conclusions about their thermodynamic behavior.Here, using exact results, we prove that infinite-temperature autocorrelation functions exhibit infinite coherence times at the boundary, and that bulk Mazur bounds decay asymptotically as $1/sqrt{L}$, rather than $1/L$, as had previously Apple Corer been thought.This result implies that the nontrivial conserved operators implied by $p$-flip dynamics have an important qualitative impact on bulk thermalization properties beyond the constraints imposed by the simple global symmetries of the models.