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    Quantum typicality approach to energy flow between two spin-chain domains at different temperatures

    Laurenz Beckemeyer1,*, Markus Kraft1, Mariel Kempa1, Dirk Schuricht2, and Robin Steinigeweg1,†

    • *Contact author: lbeckemeyer@uos.de
    • †Contact author: rsteinig@uos.de

    Phys. Rev. B 113, 064415 – Published 10 February, 2026

    DOI: https://doi.org/10.1103/l8qy-hfn5

    Abstract

    We discuss a quantum typicality approach to examine systems composed of two subsystems at different temperatures. While dynamical quantum typicality is usually used to simulate high-temperature dynamics, we also investigate low-temperature dynamics using the method. To test our method, we investigate the energy current between subsystems at different temperatures in various paradigmatic spin-1/2 chains, specifically the XX chain, the critical transverse-field Ising chain, and the XXZ chain. We compare our numerics to existing analytical results and find a convincing agreement for the energy current in the steady state for all considered models and temperatures.

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