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Efficient higher-order matrix product operators for time evolution
by Maarten Van Damme, Jutho Haegeman, Ian McCulloch, Laurens Vanderstraeten
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Submission summary
| Authors (as registered SciPost users): | Laurens Vanderstraeten |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202303_00020v2 (pdf) |
| Date accepted: | Oct. 7, 2024 |
| Date submitted: | July 3, 2024, 9:12 a.m. |
| Submitted by: | Laurens Vanderstraeten |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Computational |
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.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
List of changes
1- We have added an explicit reference to a review paper on time evolution schemes for MPS, in order to make the comparison of our MPO scheme with other schemes more obvious. 2- We have expanded the caption of Fig. 1. 3- We have changed Sec. 5 to make the discussion clearer.
Published as SciPost Phys. 17, 135 (2024)