Author

Zhi-Qiang Huang

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Preprint Oct 2026

Microscopically informed self-consistent multi-resolvent closure for dense many-body spectra

The exact multi-resolvent hierarchy of dense many-body spectra encodes higher-order spectral-weight correlations, but closing it predictively for interacting Hamiltonians remains a challenge. We introduce the multi-resolvent self-consistency (MRSC) equations, which separate an exact algebraic hierarchy from an approxim...

Zhi-Qiang Huang · 0 citations

Preprint Sep 2026

Information-geometric bounds on nonequilibrium relaxation in quantum Markov dynamics

In this paper, we study the quantum information-geometric structure underlying short-time nonequilibrium relaxation in quantum Markov dynamics, and derive bounds on the nonequilibrium correction to the short-time relaxation curvature. These bounds generalize the information-geometric structure underlying Auconi's class...

Xiao-Kan Guo, Zhi-Qiang Huang · 1 citation

Preprint Sep 2026

Exact replica-sector hierarchy of multi-resolvent correlations in random free fermions

The spectral weight with which a many-body eigenstate contributes to a given channel is not fixed by the smooth one-point ETH envelope, and its higher-order correlations---the connected cumulants of three and more channel-resolved spectral functions---have lacked a systematic organization. We construct one. In random f...

Zhi-Qiang Huang · 0 citations

Preprint Oct 2026

On thermalization in random free fermions: Statistical origins and energy-dependent ETH structure

We study the thermalization in the random free fermion model by a detailed random-matrix analysis. By computing the ensemble average and fluctuations of $\operatorname{Tr}(A\rho(t))$ for a single-particle observable $A$, we derive the thermalization function $g^2(t/\tau_\lambda)$ with $\tau_\lambda = \hbar/(2\eta\sqrt{...

Xiao-Kan Guo, Zhi-Qiang Huang · 0 citations