论文标题
对任意扰动的巨大破坏非常强大
Ergodicity breaking provably robust to arbitrary perturbations
论文作者
论文摘要
我们提出了通过希尔伯特太空碎片破裂的新途径,该途径表现出前所未有的鲁棒性水平。我们的建筑依赖于一项新兴(prethermal)的保护法。在确切的保护定律时,我们证明了希尔伯特空间碎片的出现,并具有指数数量的冷冻配置。我们进一步证明,每种冷冻构型都与扰动理论中的所有有限顺序都绝对稳定。 In particular, our proof is not limited to symmetric perturbations, or to perturbations with compact support, but also applies to perturbations with long-range tails, and even to arbitrary geometrically nonlocal $k$-body perturbations, as long as $k/L \rightarrow 0$ in the thermodynamic limit, where $L$ is linear system size.此外,我们确定了表征某些非冻结部门的单一形式$ u(1)$电荷,并讨论从典型初始条件开始的动力学,我们认为,我们认为最好地根据出现的单一形式对称性的磁性水力动力来解释。
We present a new route to ergodicity breaking via Hilbert space fragmentation that displays an unprecedented level of robustness. Our construction relies on a single emergent (prethermal) conservation law. In the limit when the conservation law is exact, we prove the emergence of Hilbert space fragmentation with an exponential number of frozen configurations. We further prove that every frozen configuration is absolutely stable to arbitrary perturbations, to all finite orders in perturbation theory. In particular, our proof is not limited to symmetric perturbations, or to perturbations with compact support, but also applies to perturbations with long-range tails, and even to arbitrary geometrically nonlocal $k$-body perturbations, as long as $k/L \rightarrow 0$ in the thermodynamic limit, where $L$ is linear system size. Additionally, we identify one-form $U(1)$ charges characterizing some non-frozen sectors, and discuss the dynamics starting from typical initial conditions, which we argue is best interpreted in terms of the magnetohydrodynamics of the emergent one-form symmetry.