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Paper 1
Manarat: A scalable QICK-based control system for superconducting quantum processors supporting synchronized control of 10 flux-tunable qubits.
Silva A, Orgaz Fuertes A.
- Year
- 2026
- Journal
- Rev Sci Instrum
- DOI
- 10.1063/5.0301360
- arXiv
- -
No abstract.
Open paperPaper 2
Nonstandard Hubbard model and electron pairing
M. Zendra, F. Borgonovi, G. L. Celardo, S. Gurvitz
- Year
- 2023
- Journal
- arXiv preprint
- DOI
- arXiv:2307.16737
- arXiv
- 2307.16737
We present a non-standard Hubbard model applicable to arbitrary single-particle potential profiles and inter-particle interactions. Our approach involves a novel treatment of Wannier functions, free from the ambiguities of conventional methods and applicable to finite systems without periodicity constraints. To ensure the consistent evaluation of Wannier functions, we develop a perturbative approach, utilizing the barrier penetration coefficient as a perturbation parameter. With the newly defined Wannier functions as a basis, we derive the Hubbard Hamiltonian, revealing the emergence of density-induced and pair tunneling terms alongside standard contributions. Our investigation demonstrates that long-range inter-particle interactions can induce a novel mechanism for repulsive particle pairing. This mechanism relies on the effective suppression of single-particle tunneling due to density-induced tunneling. Contrary to expectations based on the standard Hubbard model, an increase in inter-particle interaction does not lead to an insulating state. Instead, our proposed mechanism implies the coherent motion of correlated electron pairs, similar to bound states within a multi-well system, resistant to decay from single-electron tunneling transitions. These findings carry significant implications for various phenomena, including the formation of flat bands, the emergence of superconductivity in twisted bilayer graphene, and the possibility of a novel metal-insulator transition.
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