The DOI matches its Crossref record; 60 of the 60 references it cites were found in a registry or an index.
Tensor network states and algorithms in the presence of a global U(1) symmetry
Open accessAbstract
Tensor network decompositions offer an efficient description of certain many-body states of a lattice system and are the basis of a wealth of numerical simulation algorithms. In a recent paper [Phys. Rev. A 82, 050301 (2010)] we discussed how to incorporate a global internal symmetry, given by a compact, completely reducible group $\mathcal{G}$, into tensor network decompositions and algorithms. Here we specialize to the case of Abelian groups and, for concreteness, to a U(1) symmetry, associated, e.g., with particle number conservation. We consider tensor networks made of tensors that are invariant (or covariant) under the symmetry, and explain how to decompose and manipulate such tensors in order to exploit their symmetry. In numerical calculations, the use of U(1)-symmetric tensors allows selection of a specific number of particles, ensures the exact preservation of particle number, and significantly reduces computational costs. We illustrate all these points in the context of the multiscale entanglement renormalization Ansatz.
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Cited by
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The ITensor Software Library for Tensor Network Calculations
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Stripe order in the underdoped region of the two-dimensional Hubbard model
Zheng, B.-X., Chung, C.-M., Corboz, P., Ehlers, G., Qin, M.-P., Noack, R. M., Shi, H., White, S. R., Zhang, S., & Chan, G. K.-L. (2017) · Science · doi:10.1126/science.aam7127 · Cited by 606
Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
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Tensor product methods and entanglement optimization for ab initio quantum chemistry
Szalay, S., Pfeffer, M., Murg, V., Barcza, G., Verstraete, F., Schneider, R., & Legeza, Ö. (2015) · International Journal of Quantum Chemistry · doi:10.1002/qua.24898 · Cited by 314
Metadata
- Authors
- Singh, S., Pfeifer, R. N. C., & Vidal, G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2011-03-15
- Volume
- 83
- Issue
- 11
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2135040454
- Cited by
- 287
- References
- 60
- FWCI
- 6.26
- Type
- journal article
- Language
- en
- Open access
- green
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