SciPost Submission Page
Efficient higher-order matrix product operators for time evolution
by Maarten Van Damme, Jutho Haegeman, Ian McCulloch, Laurens Vanderstraeten
Submission summary
Authors (as registered SciPost users): | Laurens Vanderstraeten |
Submission information | |
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Preprint Link: | scipost_202303_00020v2 (pdf) |
Date submitted: | 2024-07-03 09:12 |
Submitted by: | Vanderstraeten, Laurens |
Submitted to: | SciPost Physics |
Ontological classification | |
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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.
Current status:
In refereeing