Probing quantum properties of black holes with a Floquet-driven optical lattice simulator
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866915193027559424 |
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| author | Benhemou, Asmae Nixon, Georgia Deger, Aydin Schneider, Ulrich Pachos, Jiannis K. |
| author_facet | Benhemou, Asmae Nixon, Georgia Deger, Aydin Schneider, Ulrich Pachos, Jiannis K. |
| contents | In the curved spacetime of a black hole, quantum physics gives rise to distinctive effects such as Hawking radiation and maximally fast scrambling. Here, we present a scheme for an analogue quantum simulation of (1 + 1) and (2 + 1)-dimensional black holes using ultracold atoms in a locally Floquet-driven optical lattice. We show how the effective dynamics of the driven system can generate position-dependent tunnelling amplitudes that encode the curved geometry of the black hole. Moreover, we provide a simple and robust scheme to determine the Hawking temperature of a (1+1)D simulated black hole based solely on on-site atom population measurements. Combined with the highly tunable onsite atom-atom interactions typical for cold atoms, our simulator provides a powerful and feasible platform to probe the scrambling of quantum information in black holes. We illustrate the ergodicity of our (2+1)D black-hole simulator by showing numerically that its level statistics in the hard-core limit approaches the ergodic regime faster than a globally homogeneous Hamiltonian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14058 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Probing quantum properties of black holes with a Floquet-driven optical lattice simulator Benhemou, Asmae Nixon, Georgia Deger, Aydin Schneider, Ulrich Pachos, Jiannis K. Quantum Gases Quantum Physics In the curved spacetime of a black hole, quantum physics gives rise to distinctive effects such as Hawking radiation and maximally fast scrambling. Here, we present a scheme for an analogue quantum simulation of (1 + 1) and (2 + 1)-dimensional black holes using ultracold atoms in a locally Floquet-driven optical lattice. We show how the effective dynamics of the driven system can generate position-dependent tunnelling amplitudes that encode the curved geometry of the black hole. Moreover, we provide a simple and robust scheme to determine the Hawking temperature of a (1+1)D simulated black hole based solely on on-site atom population measurements. Combined with the highly tunable onsite atom-atom interactions typical for cold atoms, our simulator provides a powerful and feasible platform to probe the scrambling of quantum information in black holes. We illustrate the ergodicity of our (2+1)D black-hole simulator by showing numerically that its level statistics in the hard-core limit approaches the ergodic regime faster than a globally homogeneous Hamiltonian. |
| title | Probing quantum properties of black holes with a Floquet-driven optical lattice simulator |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2312.14058 |