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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.02002 |
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| _version_ | 1866912528503668736 |
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| author | Lai, MingRui Xuan, Fengyuan Quek, Su Ying |
| author_facet | Lai, MingRui Xuan, Fengyuan Quek, Su Ying |
| contents | The concept of quantum geometry for single-particle states has revolutionized our interpretation of several emergent properties in condensed matter. However, a description of the quantum geometry for interacting particles and an understanding of its implications are lacking. Here, we show that inherent in the non-linear optical response is a quantum geometry of the correlated electron-hole state (exciton) that arises from the interplay between geometry and interactions - distinct from the quantum geometric properties of the individual electron or hole states. We demonstrate using first principles calculations that this quantum many-body geometry significantly enhances the non-linear optical response in systems with strong excitonic effects. In the case of shift currents, the quantum many-body geometric term arises in the many-body shift vector and can be interpreted as a many-body analogue of the Berry phase. This work lays the foundation to study the quantum geometry of correlated states in experimentally observable settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02002 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Geometric Advantage of the Correlated Exciton State in Non-linear Optics Lai, MingRui Xuan, Fengyuan Quek, Su Ying Materials Science The concept of quantum geometry for single-particle states has revolutionized our interpretation of several emergent properties in condensed matter. However, a description of the quantum geometry for interacting particles and an understanding of its implications are lacking. Here, we show that inherent in the non-linear optical response is a quantum geometry of the correlated electron-hole state (exciton) that arises from the interplay between geometry and interactions - distinct from the quantum geometric properties of the individual electron or hole states. We demonstrate using first principles calculations that this quantum many-body geometry significantly enhances the non-linear optical response in systems with strong excitonic effects. In the case of shift currents, the quantum many-body geometric term arises in the many-body shift vector and can be interpreted as a many-body analogue of the Berry phase. This work lays the foundation to study the quantum geometry of correlated states in experimentally observable settings. |
| title | Quantum Geometric Advantage of the Correlated Exciton State in Non-linear Optics |
| topic | Materials Science |
| url | https://arxiv.org/abs/2402.02002 |