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多浴影响矩阵:实时动力学的通用标度

Multibath Influence Matrices: Universal Scaling from Real-Time Dynamics

Matan Lotem, Michael Sonner, Valentin Link, Alessio Lerose, Dmitry A. Abanin

arXiv 2607.16411首次发表:更新:

AI 中文总结

研究强关联多轨道系统实时动力学问题,通过压缩时空张量网络形成多浴影响矩阵,在双杂质安德森模型上基准测试,计算光谱函数并解析瞬态,得到通用指数,确立该矩阵为其实时动力学实用工具。

AI 中文摘要

不同时间尺度是临界动力学的标志,也是其经典和量子模拟的瓶颈。为解决此问题,我们将时空张量网络在时间上压缩为半群影响矩阵,在空间上通过矩阵乘积态进行压缩。在具有四种费米子种类的双杂质安德森模型上进行基准测试,计算光谱函数以描绘从近藤共振、跨越非费米液体量子临界点到带隙单重态相的演化。通过突然淬火和基布尔 - 祖雷克斜坡中的渐近动力学解析瞬态,我们得到了通用的双通道近藤指数。这些结果共同确立了多浴影响矩阵作为强关联多轨道系统实时动力学的实用工具。

英文摘要

Diverging timescales are the hallmark of critical dynamics and the bottleneck to their classical and quantum simulation. To tame this, we compress a spacetime tensor network: temporally into semigroup influence matrices and spatially via matrix-product states. Benchmarking on the two-impurity Anderson model with its four fermionic species, we compute spectral functions to map the evolution from a Kondo resonance, across a non-Fermi-liquid quantum critical point, and into a gapped singlet phase. Resolving transient through asymptotic dynamics in sudden quenches and Kibble-Zurek ramps, we obtain the universal two-channel-Kondo exponent. Together, these results establish multibath influence matrices as a practical tool for real-time dynamics in strongly correlated multi-orbital systems.

Comments4.5 pages + End Matter, 3 figures

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