多体量子动力学中的非局域魔法扩散：从混沌演化到可积模型中的准粒子图像
Nonlocal Magic Spreading in Many-body Quantum Dynamics: From Chaotic Evolution to Quasi-particle Picture in Integrable Models
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中文总结 AI 辅助
本文通过将非局域魔法与纠缠容量关联，揭示了混沌系统中魔法瞬态增长后衰减，可积系统中饱和于尺寸对数，并影响纠缠挪用能力。
中文摘要 AI 辅助
纠缠和魔法是揭示量子多体系统互补方面的资源。它们的相互作用通过非局域魔法来捕获，即在任何局域基变化下仍然存活的魔法。然而，它们显著不同的动力学行为使得这种不可约魔法成分如何扩散的问题仍然悬而未决。在这里，我们将非局域魔法与纠缠容量联系起来，纠缠容量是一个可处理的量，用于测量纠缠哈密顿量的涨落。这种联系使得我们能够在从混沌系统到可积系统的广泛多体动力学范围内进行解析控制的预测，我们还使用大规模数值模拟对其进行了研究。在混沌系统中，非局域魔法表现出瞬态积累，随时间呈对数增长，随后衰减到一个与尺寸无关的值。对于可积系统，我们发展了一个与数值定量一致的准粒子图像，表明相同的初始增长反而导致饱和于一个与子系统尺寸对数相关的值。这些对比行为对纠缠挪用具有操作上的后果：最强的扰乱者仅瞬态地挪用，而自由费米子动力学可以在稳态中维持普遍的挪用。
英文摘要
Entanglement and magic are resources that reveal complementary aspects of quantum many-body systems. Their interplay is captured by nonlocal magic, the magic that survives arbitrary local changes of basis. Yet their markedly different dynamical behavior leaves open how this irreducible component of magic spreads. Here we connect nonlocal magic to the capacity of entanglement, a tractable quantity measuring fluctuations of the entanglement Hamiltonian. This connection enables analytically controlled predictions across a wide range of many-body dynamics, from chaotic to integrable systems, which we investigate also using large-scale numerical simulations. In chaotic systems, nonlocal magic exhibits a transient buildup, with logarithmic growth in time followed by decay to a size-independent value. For integrable systems, we develop a quasiparticle picture in quantitative agreement with numerics, showing that the same initial growth instead leads to saturation at a value logarithmic in subsystem size. These contrasting behaviors have an operational consequence for entanglement embezzlement: the strongest scramblers embezzle only transiently, whereas free-fermionic dynamics can sustain universal embezzlement in the steady state.
发表机构
- Universität zu Köln（科隆大学）
- Barcelona Supercomputing Center（巴塞罗那超级计算中心）
机构由 AI 辅助整理，请以论文原文为准。
