Error Bounds for Open Quantum Systems with Harmonic Bosonic Bath

Kaizhao Liu; Jianfeng Lu

doi:10.22331/q-2025-10-28-1896

Error Bounds for Open Quantum Systems with Harmonic Bosonic Bath

¹Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge MA 02139, USA
²Department of Mathematics, Department of Physics, Department of Chemistry, Duke University, Box 90320, Durham NC 27708, USA

Published:	2025-10-28, volume 9, page 1896
Editor:	Mohan Sarovar
Eprint:	arXiv:2408.04009v3
Doi:	https://doi.org/10.22331/q-2025-10-28-1896
Citation:	Quantum 9, 1896 (2025).

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Abstract

We investigate the dependence of physical observable of open quantum systems with Bosonic bath on the bath correlation function. We provide an error estimate of the difference of physical observable induced by the variation of bath correlation function, based on diagrammatic and combinatorial arguments. This gives a mathematically rigorous justification of the result in [6].

► BibTeX data

@article{Liu2025errorboundsopen,
  doi = {10.22331/q-2025-10-28-1896},
  url = {https://doi.org/10.22331/q-2025-10-28-1896},
  title = {Error {B}ounds for {O}pen {Q}uantum {S}ystems with {H}armonic {B}osonic {B}ath},
  author = {Liu, Kaizhao and Lu, Jianfeng},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {9},
  pages = {1896},
  month = oct,
  year = {2025}
}

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Cited by

[1] Geshuo Wang, Yixiao Sun, Siyao Yang, and Zhenning Cai, "Accelerated inchworm method with tensor-train bath influence functional", Computer Physics Communications 325, 110164 (2026).

[2] Meng Xu, Vasilii Vadimov, J. T. Stockburger, and J. Ankerhold, "Colloquium : Simulating non-Markovian dynamics in open quantum systems", Reviews of Modern Physics 98 2, 021002 (2026).

[3] Zhen Huang, Gunhee Park, Garnet Kin-Lic Chan, and Lin Lin, "Coupled Lindblad Pseudomode Theory for Simulating Open Quantum Systems", Physical Review Letters 136 9, 090403 (2026).

[4] Gunhee Park, Zhen Huang, Yuanran Zhu, Chao Yang, Garnet Kin-Lic Chan, and Lin Lin, "Quasi-Lindblad pseudomode theory for open quantum systems", Physical Review B 110 19, 195148 (2024).

[5] Zhen Huang, Yuanran Zhu, Gunhee Park, and Lin Lin, "Unified error bounds for perturbations of non-Markovian open quantum systems in Gaussian environments", arXiv:2411.08741, (2024).

[6] Hongfei Zhan, Ernest W. Z. Pan, and Zhenning Cai, "Reducing Spatial and Temporal Dimensionality in the Multidimensional Caldeira-Leggett Model", arXiv:2509.24525, (2025).

[7] Geshuo Wang, Yixiao Sun, Siyao Yang, and Zhenning Cai, "Accelerated Inchworm Method with Tensor-Train Bath Influence Functional", arXiv:2506.12410, (2025).

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