A hybrid quantum-classical method for electron-phonon systems
Abstract Interactions between electrons and phonons play a crucial role in quantum materials. Yet, there is no universal method that would simultaneously accurately account for strong electron-phonon interactions and electronic correlations. By combining methods of the variational quantum eigensolve...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2023-08-01
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| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-023-01353-3 |
| _version_ | 1797559156234780672 |
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| author | M. Michael Denner Alexander Miessen Haoran Yan Ivano Tavernelli Titus Neupert Eugene Demler Yao Wang |
| author_facet | M. Michael Denner Alexander Miessen Haoran Yan Ivano Tavernelli Titus Neupert Eugene Demler Yao Wang |
| author_sort | M. Michael Denner |
| collection | DOAJ |
| description | Abstract Interactions between electrons and phonons play a crucial role in quantum materials. Yet, there is no universal method that would simultaneously accurately account for strong electron-phonon interactions and electronic correlations. By combining methods of the variational quantum eigensolver and the variational non-Gaussian solver, we develop a hybrid quantum-classical algorithm suitable for this type of correlated systems. This hybrid method tackles systems with arbitrarily strong electron-phonon coupling without increasing the number of required qubits and quantum gates, as compared to purely electronic models. We benchmark our method by applying it to the paradigmatic Hubbard-Holstein model at half filling, and show that it correctly captures the competition between charge density wave and antiferromagnetic phases, quantitatively consistent with exact diagonalization. |
| first_indexed | 2024-03-10T17:41:28Z |
| format | Article |
| id | doaj.art-1f5e4f8085fa40bd886e1aa2a5406804 |
| institution | Directory Open Access Journal |
| issn | 2399-3650 |
| language | English |
| last_indexed | 2024-03-10T17:41:28Z |
| publishDate | 2023-08-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Communications Physics |
| spelling | doaj.art-1f5e4f8085fa40bd886e1aa2a54068042023-11-20T09:39:22ZengNature PortfolioCommunications Physics2399-36502023-08-016111010.1038/s42005-023-01353-3A hybrid quantum-classical method for electron-phonon systemsM. Michael Denner0Alexander Miessen1Haoran Yan2Ivano Tavernelli3Titus Neupert4Eugene Demler5Yao Wang6Department of Physics, University of ZurichIBM Quantum, IBM Research – ZurichDepartment of Physics and Astronomy, Clemson UniversityIBM Quantum, IBM Research – ZurichDepartment of Physics, University of ZurichInstitute for Theoretical Physics, ETH ZürichDepartment of Physics and Astronomy, Clemson UniversityAbstract Interactions between electrons and phonons play a crucial role in quantum materials. Yet, there is no universal method that would simultaneously accurately account for strong electron-phonon interactions and electronic correlations. By combining methods of the variational quantum eigensolver and the variational non-Gaussian solver, we develop a hybrid quantum-classical algorithm suitable for this type of correlated systems. This hybrid method tackles systems with arbitrarily strong electron-phonon coupling without increasing the number of required qubits and quantum gates, as compared to purely electronic models. We benchmark our method by applying it to the paradigmatic Hubbard-Holstein model at half filling, and show that it correctly captures the competition between charge density wave and antiferromagnetic phases, quantitatively consistent with exact diagonalization.https://doi.org/10.1038/s42005-023-01353-3 |
| spellingShingle | M. Michael Denner Alexander Miessen Haoran Yan Ivano Tavernelli Titus Neupert Eugene Demler Yao Wang A hybrid quantum-classical method for electron-phonon systems Communications Physics |
| title | A hybrid quantum-classical method for electron-phonon systems |
| title_full | A hybrid quantum-classical method for electron-phonon systems |
| title_fullStr | A hybrid quantum-classical method for electron-phonon systems |
| title_full_unstemmed | A hybrid quantum-classical method for electron-phonon systems |
| title_short | A hybrid quantum-classical method for electron-phonon systems |
| title_sort | hybrid quantum classical method for electron phonon systems |
| url | https://doi.org/10.1038/s42005-023-01353-3 |
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