IT from QUBIT or ALL from HALL?
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917734810386432 |
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| author | Khveshchenko, D. V. |
| author_facet | Khveshchenko, D. V. |
| contents | Generalized $1+0$-dimensional Liouvillean dynamics describing deformations of the Sachdev-Ye-Kitaev (SYK) model, as well as the various $1+1$-dimensional dilaton and Horava-Lifshitz gravity theories, can all be mapped onto single-particle quantum mechanics of a non-relativistic charge propagating in a (generally, curved) $2d$ space and subject to a (generally, non-uniform) magnetic field. The latter description provides a standard playground for the phenomenon of Quantum Hall Effect (QHE), thereby elucidating the intrinsically topological nature of pertinent gravity theories and demystifying their (pseudo)holographic connection to a broad class of the SYK-like models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_04399 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | IT from QUBIT or ALL from HALL? Khveshchenko, D. V. High Energy Physics - Theory Strongly Correlated Electrons General Relativity and Quantum Cosmology Generalized $1+0$-dimensional Liouvillean dynamics describing deformations of the Sachdev-Ye-Kitaev (SYK) model, as well as the various $1+1$-dimensional dilaton and Horava-Lifshitz gravity theories, can all be mapped onto single-particle quantum mechanics of a non-relativistic charge propagating in a (generally, curved) $2d$ space and subject to a (generally, non-uniform) magnetic field. The latter description provides a standard playground for the phenomenon of Quantum Hall Effect (QHE), thereby elucidating the intrinsically topological nature of pertinent gravity theories and demystifying their (pseudo)holographic connection to a broad class of the SYK-like models. |
| title | IT from QUBIT or ALL from HALL? |
| topic | High Energy Physics - Theory Strongly Correlated Electrons General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2305.04399 |