Thermodynamic limit of density matrix renormalization.
Open accessAbstract
The density matrix renormalization group discovered by White is investigated. In the case where renormalization eventually converges to a fixed point we show that quantum states in the thermodynamic limit with periodic boundary conditions can be simply represented by a ``matrix product ground state'' with a natural description of Bloch states of elementary excitations. We then observe that these states can be rederived through a simple variational ansatz making no reference to a renormalization construction. The method is tested on the spin-1 Heisenberg model.
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The parameterized quantum circuit features a one-dimensional connectivity pattern, making it suitable for representation using a Matrix Product State (MPS).
“The parameterized quantum circuit in our study features a one-dimensional connectivity pattern, making it suitable for representation using a Matrix Product State (MPS) [56], [57], [58].”
From Towards secondary structure prediction of longer mRNA sequences using a quantum-centric optimization scheme (2025) · cites this paper as [57]
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Research works printed but not linked: 9
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“The parameterized quantum circuit in our study features a one-dimensional connectivity pattern, making it suitable for representation using a Matrix Product State (MPS) [56], [57], [58].”
- Authors
- Östlund, S., & Rommer, S.
- Affiliations
- Chalmers University of Technology (SE)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1995-11-06
- Volume
- 75
- Issue
- 19
- Pages
- 3537-3540
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W3023240136
- Cited by
- 1,077
- References
- 0
- Citations by year
- 2026: 38 · 2025: 52 · 2024: 65 · 2023: 41 · 2022: 53 · 2021: 55 · 2020: 44 · 2019: 70 · 2018: 60 · 2017: 60 · 2016: 45 · 2015: 59 · 2014: 55 · 2013: 35 · 2012: 44
- FWCI
- 7.08
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Keywords
- density matrix renormalization group, thermodynamic limit, periodic boundary conditions, Bloch states, elementary excitations, variational ansatz, spin-1 Heisenberg model, quantum many-body states
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