Lieb-Robinson bounds in the continuum via localized frames
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911964657090560 |
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| author | Bachmann, Sven De Nittis, Giuseppe |
| author_facet | Bachmann, Sven De Nittis, Giuseppe |
| contents | We study the dynamics of interacting fermions in the continuum. Our approach uses the concept of lattice-localized frames, which we introduce here. We first prove a Lieb-Robinson bound that is valid for a general class of local interactions, which implies the existence of the dynamics at the level of the CAR algebra. We then turn to the physical situation relevant to the (fractional) quantum Hall effect, namely the quasi-free second quantized Landau Hamiltonian to which electron-electron interactions can be added. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lieb-Robinson bounds in the continuum via localized frames Bachmann, Sven De Nittis, Giuseppe Mathematical Physics Quantum Physics We study the dynamics of interacting fermions in the continuum. Our approach uses the concept of lattice-localized frames, which we introduce here. We first prove a Lieb-Robinson bound that is valid for a general class of local interactions, which implies the existence of the dynamics at the level of the CAR algebra. We then turn to the physical situation relevant to the (fractional) quantum Hall effect, namely the quasi-free second quantized Landau Hamiltonian to which electron-electron interactions can be added. |
| title | Lieb-Robinson bounds in the continuum via localized frames |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2406.15670 |