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We explore the Kardar-Parisi-Zhang (KPZ) scaling in the one-dimensional Hubbard model, which exhibits global $SU_c(2) \otimes SU_s (2)$ symmetry at half filling, for the pseudocharge and the total spin. We analyze dynamical scaling properties of high-temperature charge and spin correlations and tran ...

The Family-Vicsek scaling is a fundamental framework for understanding surface growth in nonequilibrium classical systems, providing a universal description of temporal surface roughness evolution. Whether such scaling extends to strongly correlated quantum many-body systems—where dynamics are gover ...

We propose a numerical method to efficiently compute quantum generating functions for a wide class of observables in one-dimensional quantum systems at high temperature. We obtain high-accuracy estimates for the cumulants and reconstruct full counting statistics from the quantum generating functions ...