Eigenstate localization in a many-body quantum system
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912040779513856 |
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| author | Yin, Chao Nandkishore, Rahul Lucas, Andrew |
| author_facet | Yin, Chao Nandkishore, Rahul Lucas, Andrew |
| contents | We prove the existence of extensive many-body Hamiltonians with few-body interactions and a many-body mobility edge: all eigenstates below a nonzero energy density are localized in an exponentially small fraction of "energetically allowed configurations" within Hilbert space. Our construction is based on quantum perturbations to a classical low-density parity check code. In principle, it is possible to detect this eigenstate localization by measuring few-body correlation functions in efficiently preparable mixed states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12279 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Eigenstate localization in a many-body quantum system Yin, Chao Nandkishore, Rahul Lucas, Andrew Statistical Mechanics Mathematical Physics Quantum Physics We prove the existence of extensive many-body Hamiltonians with few-body interactions and a many-body mobility edge: all eigenstates below a nonzero energy density are localized in an exponentially small fraction of "energetically allowed configurations" within Hilbert space. Our construction is based on quantum perturbations to a classical low-density parity check code. In principle, it is possible to detect this eigenstate localization by measuring few-body correlation functions in efficiently preparable mixed states. |
| title | Eigenstate localization in a many-body quantum system |
| topic | Statistical Mechanics Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2405.12279 |