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    Nonequilibrium dynamics in a quantum spin chain with pump-probe resonant inelastic x-ray scattering

    Menglian Shi1, Zhengzhong Du1, and Yi Lu1,2,*

    • *Contact author: yilu@nju.edu.cn

    Phys. Rev. B 112, 094314 – Published 23 September, 2025

    DOI: https://doi.org/10.1103/b3rx-9cvv

    Abstract

    We investigate the nonequilibrium dynamics of the transverse field Ising chain (TFIC) using time-resolved resonant inelastic x-ray scattering (tr-RIXS) in a pump-probe setup within a condensed matter setting. The tr-RIXS spectra reveal distinctive features, including two-kink continua at high energies and oscillatory spectral weight at low energies, both strongly influenced by the pump dynamics. By systematically analyzing the nonequilibrium tr-RIXS cross section under various pump configurations, we demonstrate how the spectra encode detailed information about the system's transient states, capturing instantaneous Hamiltonian parameters and the traversal of equilibrium quantum critical points during dynamic evolution. Notably, we uncover a one-to-one correspondence between oscillatory features in the low-energy spectra and dynamical quantum phase transitions, offering an experimentally accessible approach for their detection. These findings highlight the versatility of tr-RIXS as a powerful tool for studying quantum systems far from equilibrium and their critical phenomena.

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