可积量子猝灭中纠缠哈密顿量累积量的输运诠释
Transport interpretation of entanglement Hamiltonian cumulants in integrable quantum quenches
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中文总结 AI 辅助
该研究建立了纠缠哈密顿量累积量与守恒荷流累积量的联系，为纠缠动力学提供输运诠释，对自由、共形及相互作用可积系统的纠缠涨落给出统一描述。
中文摘要 AI 辅助
我们研究相互作用可积模型在全局量子猝灭后纠缠哈密顿量累积量的动力学。基于时空对偶性的最新结果，我们表明这些累积量恰好由初始态选定宏观态中合适守恒荷的流的累积量给出。这建立了纠缠动力学与输运之间的直接联系，为成功描述冯·诺依曼熵演化的准粒子图像提供了输运对应物。在自由费米子和共形极限下，我们的结果简化为右向和左向运动激发携带的流累积量之差，重现了先前已知的表达式。在相互作用可积模型中，算子层面不再能分解为独立的右向和左向运动者，但在纠缠谱层面仍保留类似结构，从而对自由、共形和相互作用可积系统的纠缠哈密顿量涨落给出统一描述。
英文摘要
We study the dynamics of the cumulants of the entanglement Hamiltonian in interacting integrable models following global quantum quenches. Building on recent results based on space-time duality, we show that these cumulants are exactly given by the cumulants of currents of suitable conserved charges evaluated in the macrostate selected by the initial state. This establishes a direct connection between entanglement dynamics and transport, providing a transport counterpart to the quasiparticle picture that successfully describes the evolution of the von Neumann entropy. In the free-fermion and conformal limits, our results reduce to the difference between the current cumulants carried by right- and left-moving excitations, recovering previously known expressions. In interacting integrable models, where a decomposition into independent right and left movers is no longer meaningful at the operator level, a similar structure survives at the level of the entanglement spectrum, yielding a unified description of entanglement Hamiltonian fluctuations across free, conformal, and interacting integrable systems.
