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PreprintCC BY 4.0arXiv

Generalized η-pairing eigenstates in three-component Hubbard models under a transverse field

  • F. X. Liu
  • Z. Song
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Abstract

We investigate three-component Hubbard models on a bipartite lattice in the presence of a trans?verse field. Unlike the two-component Hubbard model, where the η-pairing symmetry survives the transverse field, the three-component model possesses neither η-pairing symmetry nor conservation of the particle number of each component. We introduce a generalized η-pairing operator, formed as a hybridization of three types of two-component pairing operators, and employ the restricted spectrum-generating algebra to construct a family of exact eigenstates. These eigenstates exhibit off-diagonal long-range order. Furthermore, we construct an exact tensor-product state whose co?herent periodic dynamics provide an exact realization of quantum many-body scar dynamics while simultaneously exhibiting long-range magnetic order. We also propose three protocols for preparing this state via quench dynamics, and verify their effectiveness through numerical simulations.

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Cite

BibTeXRIS
BibTeX
@misc{liu2026generalized,
  title = {{Generalized η-pairing eigenstates in three-component Hubbard models under a transverse field}},
  author = {F. X. Liu and Z. Song},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.33568},
  eprint = {2609.33568},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.33568},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Generalized η-pairing eigenstates in three-component Hubbard models under a transverse field
AU  - F. X. Liu
AU  - Z. Song
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2609.33568
UR  - https://arxiv.org/abs/2609.33568
AB  - We investigate three-component Hubbard models on a bipartite lattice in the presence of a trans?verse field. Unlike the two-component Hubbard model, where the η-pairing symmetry survives the transverse field, the three-component model possesses neither η-pairing symmetry nor conservation of the particle number of each component. We introduce a generalized η-pairing operator, formed as a hybridization of three types of two-component pairing operators, and employ the restricted spectrum-generating algebra to construct a family of exact eigenstates. These eigenstates exhibit off-diagonal long-range order. Furthermore, we construct an exact tensor-product state whose co?herent periodic dynamics provide an exact realization of quantum many-body scar dynamics while simultaneously exhibiting long-range magnetic order. We also propose three protocols for preparing this state via quench dynamics, and verify their effectiveness through numerical simulations.
ER  -