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Cited by 32Quantum many-body systemsAdvanced Condensed Matter PhysicsPhysics of Superconductivity and Magnetism

SMatrix from Matrix Product States

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Vanderstraeten, Laurens, Haegeman, Jutho, Osborne, Tobias J., Verstraete, Frank·2014·Physical Review Letters
DOI 10.1103/physrevlett.112.257202
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Abstract

We use the matrix product state formalism to construct stationary scattering states of elementary excitations in generic one-dimensional quantum lattice systems. Our method is applied to the spin-1 Heisenberg antiferromagnet, for which we calculate the full magnon-magnon S matrix for arbitrary momenta and spin, the two-particle contribution to the spectral function, and higher order corrections to the magnetization curve. As our method provides an accurate microscopic representation of the interaction between elementary excitations, we envisage the description of low-energy dynamics of one-dimensional spin chains in terms of these particlelike excitations.

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  • The ansatz has been successfully applied to spin chains, spin ladders, spin chains with long-range interactions, field theories, and local gauge theories.

    “In recent years, the ansatz has been succesfully applied to spin chains [13,42,43], spin ladders [44], spin chains with long-range interactions [45], field theories [46], and local gauge theories [29].”

    From Tangent-space methods for uniform matrix product states (2019) · cites this paper as [43]

  • For MPS with larger unit cells, one can find canonical forms, develop ground-state optimization algorithms, and implement a quasiparticle excitation ansatz, as for uniform MPS.

    “Just as for uniform MPS, we can find canonical forms, develop ground-state optimization algorithms, and implement a quasiparticle excitation ansatz.For all details, we point the reader to Refs.[16,43].”

    From Tangent-space methods for uniform matrix product states (2019) · cites this paper as [43]

  • Symmetries in the MPS tensor can be used to label the quasiparticle ansatz with specific quantum numbers.

    “Moreover, symmetries in the MPS tensor can also be used to label the quasiparticle ansatz with specific quantum numbers.For all details, we point the reader to Ref. [43].”

    From Tangent-space methods for uniform matrix product states (2019) · cites this paper as [43]

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Authors
Vanderstraeten, L., Haegeman, J., Osborne, T. J., & Verstraete, F.
Affiliations
  • Ghent University (BE)
  • Leibniz University Hannover (DE)
  • University of Vienna (AT)
ORCID
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2014-06-25
Volume
112
Issue
25
Pages
257202-257202
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.112.257202
OpenAlex
W2085704467
Cited by
32
References
1
Citations by year
2026: 1 · 2025: 2 · 2024: 3 · 2023: 1 · 2022: 1 · 2021: 2 · 2020: 1 · 2019: 5 · 2018: 2 · 2017: 5 · 2016: 2 · 2015: 6 · 2014: 1
FWCI
2.32
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Ghent University Academic Bibliography (Ghent University) (submittedVersion, other-oa)
  • Institutional Repository of Leibniz Universität Hannover (Leibniz Universität Hannover) (submittedVersion, cc-by-nc-nd)
  • arXiv (Cornell University)
  • Leibniz Universität Hannover
Funders
  • Fonds Wetenschappelijk Onderzoek
  • Vlaamse regering
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
scattering matrix, matrix product states, elementary excitations, spin-1 Heisenberg antiferromagnet, magnon-magnon scattering, spectral function, low-energy dynamics, spin chains

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