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Cited by 50Quantum many-body systemsAdvanced Condensed Matter PhysicsPhysics of Superconductivity and Magnetism

Scattering particles in quantum spin chains

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Vanderstraeten, Laurens, Verstraete, Frank, Haegeman, Jutho·2015·Physical Review B
DOI 10.1103/physrevb.92.125136
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Abstract

Using a variational ansatz based on matrix product states, the authors present a methodology for determine the elementary excitations and their low energy scattering matrices of general quasi-one-dimensional spin systems. From these scattering matrices, the authors map the system unto an effective integrable model and then employ the thermodynamic Bethe ansatz so as to determine thermodynamic properties of the spin system. As a demonstration of the method, the authors apply it to a Heisenberg spin ladder.

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  • The variational ansatz is a generalization of the single-mode approximation and the Feynman-Bijl ansatz.

    “The variational ansatz that we will introduce is a generalization of the single-mode approximation [36], which appeared earlier in the context of spin chains, and the Feynman-Bijl ansatz [37]”

    From Tangent-space methods for uniform matrix product states (2019) · cites this paper as [37]

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Authors
Vanderstraeten, L., Verstraete, F., & Haegeman, J.
Affiliations
  • Ghent University (BE)
  • University of Vienna (AT)
ORCID
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
2015-09-18
Volume
92
Issue
12
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
DOI
10.1103/physrevb.92.125136
OpenAlex
W2124499918
Cited by
50
References
4
Citations by year
2026: 3 · 2025: 4 · 2024: 3 · 2023: 2 · 2022: 4 · 2021: 5 · 2020: 3 · 2019: 7 · 2018: 8 · 2017: 6 · 2016: 3 · 2015: 2
FWCI
3.22
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review B (publishedVersion)
  • arXiv (Cornell University) (publishedVersion)
  • Ghent University Academic Bibliography (Ghent University) (submittedVersion, other-oa)
  • arXiv (Cornell University)
Funders
  • Austrian Science Fund (FoQuS, ViCoM)
  • Fonds Wetenschappelijk Onderzoek
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
quantum spin chains, quasi-one-dimensional spin systems, elementary excitations, matrix product states, variational ansatz, thermodynamic Bethe ansatz, thermodynamic properties

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