Measuring temporal entropies in experiments
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910055422492672 |
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| author | Bou-Comas, Aleix Marimón, Carlos Ramos Schneider, Jan T. Carignano, Stefano Tagliacozzo, Luca |
| author_facet | Bou-Comas, Aleix Marimón, Carlos Ramos Schneider, Jan T. Carignano, Stefano Tagliacozzo, Luca |
| contents | We propose a novel experimental protocol to measure generalized temporal entropies in many-body quantum systems. Our approach involves using local operators as probes to characterize the out-of-equilibrium dynamics induced by a geometric double quench on a replicated system. Such protocol mimics the path-integral on the corresponding Riemann surface encoding generalized temporal entanglement. We present the results of tensor network simulations of one-dimensional systems which validate the protocol and demonstrate the experimental feasibility of measuring generalized temporal entropies, and we outline the experimental requirements for implementing these quenches using state-of-the-art quantum simulators. Therefore, our results provide a physical interpretation of the meaning of generalized temporal entropies. Furthermore, they reveal that the dynamics induced on two replicas of the Ising model in a transverse field differ qualitatively from the ones of its non-integrable extension, suggesting that generalized temporal entropies can be used as a tool for identifying different dynamical classes in quantum systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_05517 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measuring temporal entropies in experiments Bou-Comas, Aleix Marimón, Carlos Ramos Schneider, Jan T. Carignano, Stefano Tagliacozzo, Luca Quantum Physics Quantum Gases Statistical Mechanics High Energy Physics - Theory We propose a novel experimental protocol to measure generalized temporal entropies in many-body quantum systems. Our approach involves using local operators as probes to characterize the out-of-equilibrium dynamics induced by a geometric double quench on a replicated system. Such protocol mimics the path-integral on the corresponding Riemann surface encoding generalized temporal entanglement. We present the results of tensor network simulations of one-dimensional systems which validate the protocol and demonstrate the experimental feasibility of measuring generalized temporal entropies, and we outline the experimental requirements for implementing these quenches using state-of-the-art quantum simulators. Therefore, our results provide a physical interpretation of the meaning of generalized temporal entropies. Furthermore, they reveal that the dynamics induced on two replicas of the Ising model in a transverse field differ qualitatively from the ones of its non-integrable extension, suggesting that generalized temporal entropies can be used as a tool for identifying different dynamical classes in quantum systems. |
| title | Measuring temporal entropies in experiments |
| topic | Quantum Physics Quantum Gases Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.05517 |