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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.22064 |
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| _version_ | 1866912669837033472 |
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| author | Molinero, Eduardo B. Amorim, Bruno Ivanov, Misha Brown, Graham G. Cistaro, Giovanni Lopes, João M. Viana Parente Jiménez-Galán, Álvaro San-Jose, Pablo Silva, Rui E. F. |
| author_facet | Molinero, Eduardo B. Amorim, Bruno Ivanov, Misha Brown, Graham G. Cistaro, Giovanni Lopes, João M. Viana Parente Jiménez-Galán, Álvaro San-Jose, Pablo Silva, Rui E. F. |
| contents | We develop the semiconductor Wannier equations (SWEs), a real-time, real-space formulation of ultrafast light-matter dynamics in crystals, by deriving the equations of motion for the electronic reduced density matrix in a localized Wannier basis. Working in real space removes the structure-gauge ambiguities that hinder reciprocal-space semiconductor Bloch equations. Electron--electron interactions are included at the time-dependent Hartree plus static screened-exchange (TD-HSEX) level. Decoherence is modeled with three complementary channels: pure dephasing, population relaxation, and distance-dependent real-space dephasing; providing physically grounded damping for strong-field phenomena such as high-harmonic generation. Conceptually, the SWEs bridge real-space semiclassical intuition with many-body solid-state optics, offering a numerically robust and gauge-clean alternative to reciprocal-space approaches for nonlinear optical response and attosecond spectroscopy in solids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22064 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semiconductor Wannier equations: a real-time, real-space approach to the nonlinear optical response in crystals (ATATA) Molinero, Eduardo B. Amorim, Bruno Ivanov, Misha Brown, Graham G. Cistaro, Giovanni Lopes, João M. Viana Parente Jiménez-Galán, Álvaro San-Jose, Pablo Silva, Rui E. F. Optics We develop the semiconductor Wannier equations (SWEs), a real-time, real-space formulation of ultrafast light-matter dynamics in crystals, by deriving the equations of motion for the electronic reduced density matrix in a localized Wannier basis. Working in real space removes the structure-gauge ambiguities that hinder reciprocal-space semiconductor Bloch equations. Electron--electron interactions are included at the time-dependent Hartree plus static screened-exchange (TD-HSEX) level. Decoherence is modeled with three complementary channels: pure dephasing, population relaxation, and distance-dependent real-space dephasing; providing physically grounded damping for strong-field phenomena such as high-harmonic generation. Conceptually, the SWEs bridge real-space semiclassical intuition with many-body solid-state optics, offering a numerically robust and gauge-clean alternative to reciprocal-space approaches for nonlinear optical response and attosecond spectroscopy in solids. |
| title | Semiconductor Wannier equations: a real-time, real-space approach to the nonlinear optical response in crystals (ATATA) |
| topic | Optics |
| url | https://arxiv.org/abs/2510.22064 |