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  • Letter

Simulating non-Markovian open quantum dynamics with neural quantum states

Long Cao1,*, Liwei Ge1,*, Daochi Zhang2, Xiang Li1, Jialin Pan1, Yao Wang1, Rui-Xue Xu1,3, YiJing Yan1, and Xiao Zheng2,3,†

  • *These authors contributed equally to this work.
  • †Contact author: xzheng@fudan.edu.cn

Phys. Rev. B 113, L140301 – Published 1 April, 2026

DOI: https://doi.org/10.1103/f6dt-qxvr

Abstract

Reducing computational scaling for simulating non-Markovian dissipative dynamics using artificial neural networks is both a major focus and formidable challenge in open quantum systems. To enable neural quantum states (NQSs), we encode environmental memory in dissipatons (quasiparticles with characteristic lifetimes), yielding the dissipaton-embedded quantum master equation (DQME). The resulting NQS-DQME framework achieves a compact representation of both many-body correlations and non-Markovian memory. Benchmarking against numerically exact hierarchical equations of motion confirms NQS-DQME maintains comparable accuracy while enhancing scalability and interpretability. This methodology opens different paths to explore non-Markovian open quantum dynamics in previously intractable systems.

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