Dynamical multipartite entanglement in a generalized Tavis-Cummings model with XY spin interaction

Fuente: arXiv
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Autori principali: Su, Yuguo, Sun, Zhijie, Yan, Yiying, Wang, Hengyan, Luo, Junyan, Ying, Tiantian, Liang, Hongbin, Huang, Yi-Xiao
Natura: Preprint
Pubblicazione: 2025
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author Su, Yuguo
Sun, Zhijie
Yan, Yiying
Wang, Hengyan
Luo, Junyan
Ying, Tiantian
Liang, Hongbin
Huang, Yi-Xiao
author_facet Su, Yuguo
Sun, Zhijie
Yan, Yiying
Wang, Hengyan
Luo, Junyan
Ying, Tiantian
Liang, Hongbin
Huang, Yi-Xiao
contents Multipartite entanglement is a long-term pursuit in the resource theory, offering a potential resource for quantum metrology. Here, we present the dynamical multipartite entanglement, which is in terms of the quantum Fisher information, of a generalized Tavis-Cummings (TC) model introducing the XY spin interaction. Since our model cannot be solved exactly, we theoretically derive and numerically examine the effective description of our model. By the Holstein-Primakoff transformation, we show the bridge from the generalized TC model to the central spin model. Furthermore, the reduced density matrix of the central spins is presented, which is the prerequisite for calculating multipartite entanglement. We also discuss the effect of the temperature, the coupling constant, and the magnetic field on the dynamical multipartite entanglement in the central spin model, where the central spin is initially unentangled. Strong coupling and low temperature are necessary conditions for a genuine multipartite entanglement in the XY model, and together with the magnetic field, they govern the modulation of both the entanglement period and amplitude. Our results unveil the deep link between the TC model and the central spin model, allowing for a better comprehension of their dynamical multipartite entanglement.
format Preprint
id arxiv_https___arxiv_org_abs_2505_05841
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamical multipartite entanglement in a generalized Tavis-Cummings model with XY spin interaction
Su, Yuguo
Sun, Zhijie
Yan, Yiying
Wang, Hengyan
Luo, Junyan
Ying, Tiantian
Liang, Hongbin
Huang, Yi-Xiao
Quantum Physics
Multipartite entanglement is a long-term pursuit in the resource theory, offering a potential resource for quantum metrology. Here, we present the dynamical multipartite entanglement, which is in terms of the quantum Fisher information, of a generalized Tavis-Cummings (TC) model introducing the XY spin interaction. Since our model cannot be solved exactly, we theoretically derive and numerically examine the effective description of our model. By the Holstein-Primakoff transformation, we show the bridge from the generalized TC model to the central spin model. Furthermore, the reduced density matrix of the central spins is presented, which is the prerequisite for calculating multipartite entanglement. We also discuss the effect of the temperature, the coupling constant, and the magnetic field on the dynamical multipartite entanglement in the central spin model, where the central spin is initially unentangled. Strong coupling and low temperature are necessary conditions for a genuine multipartite entanglement in the XY model, and together with the magnetic field, they govern the modulation of both the entanglement period and amplitude. Our results unveil the deep link between the TC model and the central spin model, allowing for a better comprehension of their dynamical multipartite entanglement.
title Dynamical multipartite entanglement in a generalized Tavis-Cummings model with XY spin interaction
topic Quantum Physics
url https://arxiv.org/abs/2505.05841