$η$-pairing states in the Hubbard model with non-uniform Hubbard interaction
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915451985985536 |
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| author | He, D. K. Song, Z. |
| author_facet | He, D. K. Song, Z. |
| contents | The existence of $η$-pairing eigenstates in the fermionic Hubbard model is fundamentally rooted in the $η$-pairing symmetry, which may hold for systems with non-uniform Hubbard interaction $U$. In this work, we present a generalized Hubbard model containing a variety of pseudo-spin terms that break the SO$_{4}$ symmetry but retain the $η$-pairing symmetry. This allows us to construct a variety of correlated systems possessing $η$% -pairing eigenstates.\ We exemplify our findings by considering a modified Hubbard model associated with alternative magnetic fields and on-site repulsion. We find that the same quasi-$η$-pairing eigenstate exhibits two distinct dynamic behaviors in the two models. Numerical results of the time evolution driven by several typical Hamiltonians accord with the analytic predictions and provide a way of the control of an $η$-pairing wavepacket with the aid of a time-dependent Hamiltonian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19786 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $η$-pairing states in the Hubbard model with non-uniform Hubbard interaction He, D. K. Song, Z. Strongly Correlated Electrons Quantum Physics The existence of $η$-pairing eigenstates in the fermionic Hubbard model is fundamentally rooted in the $η$-pairing symmetry, which may hold for systems with non-uniform Hubbard interaction $U$. In this work, we present a generalized Hubbard model containing a variety of pseudo-spin terms that break the SO$_{4}$ symmetry but retain the $η$-pairing symmetry. This allows us to construct a variety of correlated systems possessing $η$% -pairing eigenstates.\ We exemplify our findings by considering a modified Hubbard model associated with alternative magnetic fields and on-site repulsion. We find that the same quasi-$η$-pairing eigenstate exhibits two distinct dynamic behaviors in the two models. Numerical results of the time evolution driven by several typical Hamiltonians accord with the analytic predictions and provide a way of the control of an $η$-pairing wavepacket with the aid of a time-dependent Hamiltonian. |
| title | $η$-pairing states in the Hubbard model with non-uniform Hubbard interaction |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2504.19786 |