Multibath Influence Matrices: Universal Scaling from Real-Time Dynamics

Abstract: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.

4.5 pages + End Matter, 3 figures

Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)

arXiv:2607.16411 [cond-mat.str-el]

(or arXiv:2607.16411v1 [cond-mat.str-el] for this version)

https://doi.org/10.48550/arXiv.2607.16411 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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