Multibath Influence Matrices: Universal Scaling from Real-Time Dynamics

• URL: http://arxiv.org/abs/2607.16411v1
• Date: Fri, 17 Jul 2026 18:04:36 GMT
• Title: Multibath Influence Matrices: Universal Scaling from Real-Time Dynamics
• Abstract summary: Diverging timescales are the hallmark of critical dynamics and the bottleneck to their classical and quantum simulation.<n>We compress a spacetime tensor network temporally into semigroup influence matrices and spatially via matrix-product states.<n>Together, these results establish multibath influence matrices as a practical tool for real-time dynamics in strongly correlated multi-orbital systems.
• Score: 0.005023988093549015
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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