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arXiv · 2609.33568

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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F. X. Liu, Z. Song. 2026-09-27. Generalized η-pairing eigenstates in three-component Hubbard models under a transverse field. https://arxiv.org/abs/2609.33568

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