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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.03751 |
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| _version_ | 1866913496511283200 |
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| author | Wysocki, Piotr Chwedeńczuk, Jan |
| author_facet | Wysocki, Piotr Chwedeńczuk, Jan |
| contents | The Lieb-Robinson bound (LRB) states that the range and strength of interactions between the constituents of a complex many-body system impose upper limits to how fast the signal can propagate. It manifests in a light cone-like growth of correlation function connecting two distant subsystems. Here we employ the techniques of quantum information to demonstrate that the LRB can be determined from local measurements performed on a single qubit that is connected to a many-body system. This formulation provides an operational recipe for estimating the LRB in complex systems, replacing the measurement of the correlation function with simple single-particle manipulations. We demonstrate the potency of this approach by deriving the upper limit to the speed of signal propagation in the XY spin chain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03751 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Limits to velocity of signal propagation in many-body systems: a quantum-information perspective Wysocki, Piotr Chwedeńczuk, Jan Quantum Physics The Lieb-Robinson bound (LRB) states that the range and strength of interactions between the constituents of a complex many-body system impose upper limits to how fast the signal can propagate. It manifests in a light cone-like growth of correlation function connecting two distant subsystems. Here we employ the techniques of quantum information to demonstrate that the LRB can be determined from local measurements performed on a single qubit that is connected to a many-body system. This formulation provides an operational recipe for estimating the LRB in complex systems, replacing the measurement of the correlation function with simple single-particle manipulations. We demonstrate the potency of this approach by deriving the upper limit to the speed of signal propagation in the XY spin chain. |
| title | Limits to velocity of signal propagation in many-body systems: a quantum-information perspective |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.03751 |