论文标题
非亚伯对称可以增加纠缠熵
Non-Abelian symmetry can increase entanglement entropy
论文作者
论文摘要
量子理论的支柱包括纠缠和运营商未能通勤。页面曲线量化了以随机纯状态的多体系统的两分纠缠。如果人们限制了相互通勤的广泛可观察物（Abelian``指控''），则已知这种纠缠会减少。未能相互通勤的非亚洲电荷在量子热力学方面引起了人们的关注。例如，表明非公共电荷可降低熵产生率，并可能增加与本征态热化的有限尺寸偏差。将量子热力学桥接到多体物理学上，我们量化了电荷对对称性非亚伯式性质的非符合性的影响对页面曲线的影响。首先，我们构建了两个模型，这些模型非常相似，但在电荷是否通勤方面有所不同。我们在分析上和数值上表明，非交通式付费案例具有更多的纠缠。因此，指控的非闻名可以促进纠缠。
The pillars of quantum theory include entanglement and operators' failure to commute. The Page curve quantifies the bipartite entanglement of a many-body system in a random pure state. This entanglement is known to decrease if one constrains extensive observables that commute with each other (Abelian ``charges''). Non-Abelian charges, which fail to commute with each other, are of current interest in quantum thermodynamics. For example, noncommuting charges were shown to reduce entropy-production rates and may enhance finite-size deviations from eigenstate thermalization. Bridging quantum thermodynamics to many-body physics, we quantify the effects of charges' noncommutation -- of a symmetry's non-Abelian nature -- on Page curves. First, we construct two models that are closely analogous but differ in whether their charges commute. We show analytically and numerically that the noncommuting-charge case has more entanglement. Hence charges' noncommutation can promote entanglement.
