Spacetime-Localized Response in Quantum Critical Spin Systems: Insights from Holography
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866909224949252096 |
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| author | Bamba, Motoaki Hashimoto, Koji Murata, Keiju Takeda, Daichi Yamamoto, Daisuke |
| author_facet | Bamba, Motoaki Hashimoto, Koji Murata, Keiju Takeda, Daichi Yamamoto, Daisuke |
| contents | According to the AdS/CFT correspondence, certain quantum many-body systems in $d$-dimensions are equivalent to gravitational theories in $(d+1)$-dimensional asymptotically AdS spacetimes. When a massless particle is sent from the AdS boundary to the bulk curved spacetime, it reaches another point of the boundary after a time lag. In the dual quantum system, it should appear as if quasiparticles have been transferred between two separated points. We theoretically demonstrate that this phenomenon, which we call "spacetime-localized response," is actually observed in the dynamics of the one-dimensional transverse-field Ising model near the quantum critical point. This result suggests that, if we can realize a holographic spin system in a laboratory, the experimental probing of the emergent extra-dimension is possible by applying a designed stimulus to a quantum many-body system, which is holographically equivalent to sending a massless particle through the higher-dimensional curved bulk geometry. We also discuss possible experimental realizations using Rydberg atoms in an optical tweezers array. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_13299 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Spacetime-Localized Response in Quantum Critical Spin Systems: Insights from Holography Bamba, Motoaki Hashimoto, Koji Murata, Keiju Takeda, Daichi Yamamoto, Daisuke High Energy Physics - Theory Quantum Gases Strongly Correlated Electrons General Relativity and Quantum Cosmology According to the AdS/CFT correspondence, certain quantum many-body systems in $d$-dimensions are equivalent to gravitational theories in $(d+1)$-dimensional asymptotically AdS spacetimes. When a massless particle is sent from the AdS boundary to the bulk curved spacetime, it reaches another point of the boundary after a time lag. In the dual quantum system, it should appear as if quasiparticles have been transferred between two separated points. We theoretically demonstrate that this phenomenon, which we call "spacetime-localized response," is actually observed in the dynamics of the one-dimensional transverse-field Ising model near the quantum critical point. This result suggests that, if we can realize a holographic spin system in a laboratory, the experimental probing of the emergent extra-dimension is possible by applying a designed stimulus to a quantum many-body system, which is holographically equivalent to sending a massless particle through the higher-dimensional curved bulk geometry. We also discuss possible experimental realizations using Rydberg atoms in an optical tweezers array. |
| title | Spacetime-Localized Response in Quantum Critical Spin Systems: Insights from Holography |
| topic | High Energy Physics - Theory Quantum Gases Strongly Correlated Electrons General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2310.13299 |