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Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group
Open accessAbstract
We investigate the density matrix renormalization group (DMRG) discovered by White and show that in the case where the renormalization eventually converges to a fixed point the DMRG ground state can be simply written as a matrix-product form. This ground state can also be rederived through a simple variational ansatz making no reference to the DMRG construction. We also show how to construct the matrix-product states and how to calculate their properties, including the excitation spectrum. This paper provides details of many results announced earlier.
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The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Solving the quantum many-body problem with artificial neural networks
Carleo, G., & Troyer, M. (2017) · Science · doi:10.1126/science.aag2302 · Cited by 2,215
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
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OpenMolcas: From Source Code to Insight
Fdez. Galván, I., Vacher, M., Alavi, A., Angeli, C., Aquilante, F., Autschbach, J., Bao, J. J., Bokarev, S. I., Bogdanov, N. A., Carlson, R. K., et al. (2019) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.9b00532 · Cited by 1,114
Metadata
- Authors
- Rommer, S., & Östlund, S.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1997-01-15
- Volume
- 55
- Issue
- 4
- Pages
- 2164-2181
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1621265897
- Cited by
- 431
- References
- 24
- FWCI
- 6.02
- Type
- journal article
- Language
- en
- Open access
- green
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