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Continuous Matrix Product States for Quantum Fields
Open accessAbstract
We define matrix product states in the continuum limit, without any reference to an underlying lattice parameter. This allows us to extend the density matrix renormalization group and variational matrix product state formalism to quantum field theories and continuum models in 1 spatial dimension. We illustrate our procedure with the Lieb-Liniger model.
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Cites
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Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
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Cited by
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
Orús, R. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.06.013 · Cited by 2,255
Microwave photonics with superconducting quantum circuits
Gu, X., Kockum, A. F., Miranowicz, A., Liu, Y.-X., & Nori, F. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.10.002 · Cited by 1,307
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
Self-citationThe density matrix renormalization group for ab initio quantum chemistry
Wouters, S., & Van Neck, D. (2014) · The European Physical Journal D · doi:10.1140/epjd/e2014-50500-1 · Cited by 285
Metadata
- Authors
- Verstraete, F., & Cirac, J. I.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-05-14
- Volume
- 104
- Issue
- 19
- Pages
- 190405-190405
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2030299272
- Cited by
- 271
- References
- 2
- FWCI
- 5.52
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
