Efficient higher-order matrix product operators for time evolution

We introduce a systematic construction of higher-order matrix product operator (MPO) approximations of the time evolution operator for generic (short and long range) one-dimensional Hamiltonians. We demonstrate the utility of our construction, by showing an order of magnitude speedup in simulation cost compared to conventional first-order MPO time evolution schemes.

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Publication Details

Journal
SciPost Physics
Published
2024-11-15
DOI
https://doi.org/10.21468/scipostphys.17.5.135
Citations
7
Primary Topic
Quantum many-body systems
Type
article
Field-Weighted Citation Impact
2.36

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article

Efficient higher-order matrix product operators for time evolution

Ian P. McCulloch, Jutho Haegeman, Maarten Van Damme, Laurens Vanderstraeten
7 citations
SciPost Physics
Quantum many-body systems
2.36
article

Efficient higher-order matrix product operators for time evolution

Ian P. McCulloch, Jutho Haegeman, Maarten Van Damme, Laurens Vanderstraeten
article en
7 citations

Abstract

We introduce a systematic construction of higher-order matrix product operator (MPO) approximations of the time evolution operator for generic (short and long range) one-dimensional Hamiltonians. We demonstrate the utility of our construction, by showing an order of magnitude speedup in simulation cost compared to conventional first-order MPO time evolution schemes.

SciPost PhysicsVol. 17(5)
Université Libre de Bruxelles (BE), The University of Queensland (AU), National Tsing Hua University (TW), Ghent University Hospital (BE)
Fonds Wetenschappelijk Onderzoek, European Research Council
Openalex Percentile: Top 11%
Quantum many-body systems
2.36
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Efficient higher-order matrix product operators for time evolution — Ian P. McCulloch, Jutho Haegeman, et al. · SciPost Physics (2024) | TGRS Research Map | TGRS