Quantum weight: A fundamental property of quantum many-body systems
We introduce the concept of quantum weight as a ground-state property of quantum many-body systems that is encoded in the static structure factor and characterizes density fluctuation at long wavelengths. The quantum weight carries a wealth of information about dielectric responses and optical prope...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023158 |
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| _version_ | 1850150708921237504 |
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| author | Yugo Onishi Liang Fu |
| author_facet | Yugo Onishi Liang Fu |
| author_sort | Yugo Onishi |
| collection | DOAJ |
| description | We introduce the concept of quantum weight as a ground-state property of quantum many-body systems that is encoded in the static structure factor and characterizes density fluctuation at long wavelengths. The quantum weight carries a wealth of information about dielectric responses and optical properties of the system and is closely related to its quantum geometry. For systems with short-range interactions or low-dimensional Coulomb systems, we show that the many-body quantum metric (which measures the change of the ground state under twisted boundary conditions) can be determined directly from the quantum weight. Notably, the quantum weight is a property of a single ground state and independent of boundary conditions in the thermodynamic limit. Our finding thus enables direct experimental measurement and numerical calculation of the many-body quantum metric. On the other hand, for three-dimensional Coulomb systems, we show that the quantum weight is distinct from the many-body quantum metric due to dielectric screening in three dimensions. We further use dielectric sum rules to derive upper and lower bounds on the quantum weight of real materials in terms of their electron density, static dielectric constant, and plasmon energy. Our work highlights quantum weight as a fundamental material parameter, which can be experimentally determined by x-ray scattering or electron-loss spectroscopy. |
| format | Article |
| id | doaj-art-e96c8f62fc9b4754af5a83b8f1be9040 |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-e96c8f62fc9b4754af5a83b8f1be90402025-08-20T02:26:28ZengAmerican Physical SocietyPhysical Review Research2643-15642025-05-017202315810.1103/PhysRevResearch.7.023158Quantum weight: A fundamental property of quantum many-body systemsYugo OnishiLiang FuWe introduce the concept of quantum weight as a ground-state property of quantum many-body systems that is encoded in the static structure factor and characterizes density fluctuation at long wavelengths. The quantum weight carries a wealth of information about dielectric responses and optical properties of the system and is closely related to its quantum geometry. For systems with short-range interactions or low-dimensional Coulomb systems, we show that the many-body quantum metric (which measures the change of the ground state under twisted boundary conditions) can be determined directly from the quantum weight. Notably, the quantum weight is a property of a single ground state and independent of boundary conditions in the thermodynamic limit. Our finding thus enables direct experimental measurement and numerical calculation of the many-body quantum metric. On the other hand, for three-dimensional Coulomb systems, we show that the quantum weight is distinct from the many-body quantum metric due to dielectric screening in three dimensions. We further use dielectric sum rules to derive upper and lower bounds on the quantum weight of real materials in terms of their electron density, static dielectric constant, and plasmon energy. Our work highlights quantum weight as a fundamental material parameter, which can be experimentally determined by x-ray scattering or electron-loss spectroscopy.http://doi.org/10.1103/PhysRevResearch.7.023158 |
| spellingShingle | Yugo Onishi Liang Fu Quantum weight: A fundamental property of quantum many-body systems Physical Review Research |
| title | Quantum weight: A fundamental property of quantum many-body systems |
| title_full | Quantum weight: A fundamental property of quantum many-body systems |
| title_fullStr | Quantum weight: A fundamental property of quantum many-body systems |
| title_full_unstemmed | Quantum weight: A fundamental property of quantum many-body systems |
| title_short | Quantum weight: A fundamental property of quantum many-body systems |
| title_sort | quantum weight a fundamental property of quantum many body systems |
| url | http://doi.org/10.1103/PhysRevResearch.7.023158 |
| work_keys_str_mv | AT yugoonishi quantumweightafundamentalpropertyofquantummanybodysystems AT liangfu quantumweightafundamentalpropertyofquantummanybodysystems |