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    Steady-state dynamical mean field theory based on influence functional matrix product states

    Mithilesh Nayak1, Julian Thoenniss2, Michael Sonner3, Dmitry A. Abanin4,5, and Philipp Werner1

    Phys. Rev. B 112, 035103 – Published 1 July, 2025

    DOI: https://doi.org/10.1103/xsbn-jk16

    Abstract

    We implement the recently developed influence functional matrix product states approach as impurity solver in equilibrium and nonequilibrium dynamical mean field theory (DMFT) calculations of the single-band Hubbard model. The method yields numerically exact descriptions of metallic states without sharp spectral features, at a moderate numerical cost. Systems with narrow quasiparticle or spin-polaron peaks, as well as low-temperature Mott insulators, provide more challenges since these simulations require long time contours or high bond dimensions. A promising field of application is the DMFT simulation of nonequilibrium steady states, which we demonstrate with results for photo-doped Mott systems with long-lived doublon and holon populations.

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