The DOI matches its Crossref record; 37 of the 37 references it cites were found in a registry or an index.
Time-evolving a matrix product state with long-ranged interactions
Open accessAbstract
We introduce a numerical algorithm to simulate the time evolution of a matrix product state under a long-ranged Hamiltonian in moderately entangled systems. In the effectively one-dimensional representation of a system by matrix product states, long-ranged interactions are necessary to simulate not just many physical interactions but also higher-dimensional problems with short-ranged interactions. Since our method overcomes the restriction to short-ranged Hamiltonians of most existing methods, it proves particularly useful for studying the dynamics of both power-law interacting, one-dimensional systems, such as Coulombic and dipolar systems, and quasi-two-dimensional systems, such as strips or cylinders. First, we benchmark the method by verifying a long-standing theoretical prediction for the dynamical correlation functions of the Haldane-Shastry model. Second, we simulate the time evolution of an expanding cloud of particles in the two-dimensional Bose-Hubbard model, a subject of several recent experiments.
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Cited by
Unifying time evolution and optimization with matrix product states
Haegeman, J., Lubich, C., Oseledets, I., Vandereycken, B., & Verstraete, F. (2016) · Physical Review B · doi:10.1103/physrevb.94.165116 · Cited by 804
Probing topological spin liquids on a programmable quantum simulator
Semeghini, G., Levine, H., Keesling, A., Ebadi, S., Wang, T. T., Bluvstein, D., Verresen, R., Pichler, H., Kalinowski, M., Samajdar, R., et al. (2021) · Science · doi:10.1126/science.abi8794 · Cited by 781
Baiardi, A., & Reiher, M. (2020) · The Journal of Chemical Physics · doi:10.1063/1.5129672 · Cited by 306
Variational optimization algorithms for uniform matrix product states
Zauner-Stauber, V., Vanderstraeten, L., Fishman, M. T., Verstraete, F., & Haegeman, J. (2018) · Physical Review B · doi:10.1103/physrevb.97.045145 · Cited by 270
Quantum Many-Body Dynamics in Two Dimensions with Artificial Neural Networks
Schmitt, M., & Heyl, M. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.100503 · Cited by 221
Metadata
- Authors
- Zaletel, M. P., Mong, R. S. K., Karrasch, C., Moore, J. E., & Pollmann, F.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2015-04-07
- Volume
- 91
- Issue
- 16
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2070162907
- Cited by
- 323
- References
- 37
- FWCI
- 10.19
- Type
- journal article
- Language
- en
- Open access
- green
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- Zaletel, M. P., Mong, R. S. K., Karrasch, C., Moore, J. E., & Pollmann, F. (2015). Time-evolving a matrix product state with long-ranged interactions. Physical Review B. https://doi.org/10.1103/physrevb.91.165112
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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