Probing the quantum Mpemba effect and KPZ universality class in open interacting many-body systems

Understanding transport, anomalous thermalization, and other emergent phenomena in open quantum many-body systems poses a significant challenge to conventional numerical approaches. In this talk, I will present recent results addressing these challenges using the newly introduced Complex Time Lindbladian Krylov subspace MPS (CLIK-MPS) framework.

Taking the interacting Bose-Hubbard model with dissipation-assisted hopping as an example, we demonstrate the high efficiency and accuracy of this approach. The method enables a reliable finite-size scaling analysis of the spectral gap, providing strong evidence for non-linear hydrodynamics governed by the Kardar-Parisi-Zhang (KPZ) universality class. Furthermore, by probing the properties of excited states, we uncover the existence of exponentially accelerated, anomalous relaxation.