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arXiv · 2608.09850

Tensor network methods for non-perturbative dynamics of open quantum systems

Thibaut Lacroix·Adam Burgess·Nicola Lorenzoni·Julian Wiercinski·Kian Damezin·James Lim·Dario Tamascelli·Alex W. Chin·Moritz Cygorek·Brendon W. Lovett·Jonathan Keeling·Susana F. Huelga·Martin B. Plenio·Erik M. Gauger
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Abstract

The description of open quantum system dynamics beyond the perturbative treatment (usually associated with Markovian master equations) is a computationally challenging task due to the unfavorable exponential scaling of memory kernels. Developed over recent decades in the context of quantum information and condensed matter, tensor networks provide both a new formalism and a toolbox for overcoming previous computational bottlenecks. This framework enables the formulation of non-perturbative, numerically exact methods for describing the dynamics of open quantum systems to controllable numerical accuracy. In this review, we present these methods and discuss their commonalities and differences to paint a comprehensive view of the field.

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Thibaut Lacroix, Adam Burgess, Nicola Lorenzoni, Julian Wiercinski, Kian Damezin, James Lim, Dario Tamascelli, Alex W. Chin, Moritz Cygorek, Brendon W. Lovett, Jonathan Keeling, Susana F. Huelga, Martin B. Plenio, Erik M. Gauger. 2026-08-10. Tensor network methods for non-perturbative dynamics of open quantum systems. https://arxiv.org/abs/2608.09850

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