Quantum simulation of the two-site Hubbard Hamiltonian
We present an experimental quantum simulation of the two-site Hubbard Hamiltonian, using the NMR technique. By varying the ratio between the Coulomb interaction U and the kinetic energy Jh (U/Jh), it was possible to observe changes in the behavior of the system, showing that the simulation carries t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-02-01
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| Series: | Physics Open |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666032620300405 |
| _version_ | 1818387975735607296 |
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| author | Filipe V. Melo Alexandre M. Souza Ivan S. Oliveira Roberto S. Sarthour |
| author_facet | Filipe V. Melo Alexandre M. Souza Ivan S. Oliveira Roberto S. Sarthour |
| author_sort | Filipe V. Melo |
| collection | DOAJ |
| description | We present an experimental quantum simulation of the two-site Hubbard Hamiltonian, using the NMR technique. By varying the ratio between the Coulomb interaction U and the kinetic energy Jh (U/Jh), it was possible to observe changes in the behavior of the system, showing that the simulation carries the physics of the Hubbard model, such as the occurrence of an analog of the crossover from a metallic to a Mott-insulator regime in the limit U ≫Jh. The experimental results were compared with the theoretic predictions, showing good fidelity. The problem is relevant to the areas of Quantum Computation and Solid State Physics, and establishes a possible new approach to treat the model. |
| first_indexed | 2024-12-14T04:18:29Z |
| format | Article |
| id | doaj.art-f5ad8a5f42dc40a687d6e0e22c2b63fc |
| institution | Directory Open Access Journal |
| issn | 2666-0326 |
| language | English |
| last_indexed | 2024-12-14T04:18:29Z |
| publishDate | 2021-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Open |
| spelling | doaj.art-f5ad8a5f42dc40a687d6e0e22c2b63fc2022-12-21T23:17:27ZengElsevierPhysics Open2666-03262021-02-016100053Quantum simulation of the two-site Hubbard HamiltonianFilipe V. Melo0Alexandre M. Souza1Ivan S. Oliveira2Roberto S. Sarthour3Corresponding author.; Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, BrazilCentro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, BrazilCentro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, BrazilCentro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, BrazilWe present an experimental quantum simulation of the two-site Hubbard Hamiltonian, using the NMR technique. By varying the ratio between the Coulomb interaction U and the kinetic energy Jh (U/Jh), it was possible to observe changes in the behavior of the system, showing that the simulation carries the physics of the Hubbard model, such as the occurrence of an analog of the crossover from a metallic to a Mott-insulator regime in the limit U ≫Jh. The experimental results were compared with the theoretic predictions, showing good fidelity. The problem is relevant to the areas of Quantum Computation and Solid State Physics, and establishes a possible new approach to treat the model.http://www.sciencedirect.com/science/article/pii/S2666032620300405Quantum simulationHubbard modelNMR |
| spellingShingle | Filipe V. Melo Alexandre M. Souza Ivan S. Oliveira Roberto S. Sarthour Quantum simulation of the two-site Hubbard Hamiltonian Physics Open Quantum simulation Hubbard model NMR |
| title | Quantum simulation of the two-site Hubbard Hamiltonian |
| title_full | Quantum simulation of the two-site Hubbard Hamiltonian |
| title_fullStr | Quantum simulation of the two-site Hubbard Hamiltonian |
| title_full_unstemmed | Quantum simulation of the two-site Hubbard Hamiltonian |
| title_short | Quantum simulation of the two-site Hubbard Hamiltonian |
| title_sort | quantum simulation of the two site hubbard hamiltonian |
| topic | Quantum simulation Hubbard model NMR |
| url | http://www.sciencedirect.com/science/article/pii/S2666032620300405 |
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