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This review outlines how tensor network methods enable non-perturbative, numerically exact simulations of open quantum systems, overcoming the exponential scaling limitations of traditional perturbative approaches. By providing a comprehensive framework for handling complex memory kernels without Markovian approximations, these techniques represent a significant advancement in computational quantum physics and simulation capabilities.
Tensor network methods for non-perturbative dynamics of open quantum systems
arXiv:2608.09850v2 Announce Type: replace 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.
Authors: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
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.
arXiv:2608.09850 [quant-ph]
(or arXiv:2608.09850v2 [quant-ph] for this version)
Full text under the publisher's open licence · 143 words
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