Exponential onset of scalable entanglement via twist-and-turn dynamics in XY models
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918088853684224 |
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| author | Roscilde, Tommaso Kumari, Meenu Cooper, Alexandre Mezzacapo, Fabio |
| author_facet | Roscilde, Tommaso Kumari, Meenu Cooper, Alexandre Mezzacapo, Fabio |
| contents | The efficient preparation of scalable multipartite entanglement is a central goal in the development of next-generation quantum devices. In this work, we show that the so-called ``twist-and-turn" (TaT) dynamics for interacting spin ensembles, generated by Hamiltonians with U(1)-symmetric interactions and with a transverse field, can offer an important resource to reach this goal. For models with sufficiently high connectivity, TaT dynamics exhibits two key features: 1) it features both scalable squeezing at short times, as well as quantum Fisher information with Heisenberg scaling at later times; and 2) scalable multipartite entanglement (up to Heisenberg scaling) is reached in a time growing only logarithmically with system size, associated with an exponential buildup of quantum correlations. These results can be shown exactly in the XY model with a Rabi field and infinite range interactions, and numerically in the case of spatially decaying XY interactions, such as dipolar interactions in two dimensions, provided that unstable spin-wave modes do not develop for large system sizes and/or strong fields. For dipolar interactions, the entanglement dynamics at intermediate times is completely at odds with thermalization; and it appears to saturate the maximum speed of entanglement buildup allowed by Lieb-Robinson bounds generalized to power-law interacting systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_08206 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponential onset of scalable entanglement via twist-and-turn dynamics in XY models Roscilde, Tommaso Kumari, Meenu Cooper, Alexandre Mezzacapo, Fabio Quantum Physics Quantum Gases Strongly Correlated Electrons The efficient preparation of scalable multipartite entanglement is a central goal in the development of next-generation quantum devices. In this work, we show that the so-called ``twist-and-turn" (TaT) dynamics for interacting spin ensembles, generated by Hamiltonians with U(1)-symmetric interactions and with a transverse field, can offer an important resource to reach this goal. For models with sufficiently high connectivity, TaT dynamics exhibits two key features: 1) it features both scalable squeezing at short times, as well as quantum Fisher information with Heisenberg scaling at later times; and 2) scalable multipartite entanglement (up to Heisenberg scaling) is reached in a time growing only logarithmically with system size, associated with an exponential buildup of quantum correlations. These results can be shown exactly in the XY model with a Rabi field and infinite range interactions, and numerically in the case of spatially decaying XY interactions, such as dipolar interactions in two dimensions, provided that unstable spin-wave modes do not develop for large system sizes and/or strong fields. For dipolar interactions, the entanglement dynamics at intermediate times is completely at odds with thermalization; and it appears to saturate the maximum speed of entanglement buildup allowed by Lieb-Robinson bounds generalized to power-law interacting systems. |
| title | Exponential onset of scalable entanglement via twist-and-turn dynamics in XY models |
| topic | Quantum Physics Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2507.08206 |