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极难接近的各向异性自旋链的精密计量学

Critical metrology of minimally accessible anisotropic spin chains.

作者信息

Adani Marco, Cavazzoni Simone, Teklu Berihu, Bordone Paolo, Paris Matteo G A

机构信息

Center for Cyber-Physical Systems (C2PS), Khalifa University, Abu Dhabi, 127788, United Arab Emirates.

Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, 41125, Modena, Italy.

出版信息

Sci Rep. 2024 Aug 27;14(1):19933. doi: 10.1038/s41598-024-70307-8.

DOI:10.1038/s41598-024-70307-8
PMID:39198591
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11358295/
Abstract

We address quantum metrology in critical spin chains with anisotropy and Dzyaloshinskii-Moriya (DM) interaction, and show how local and quasi-local measurements may be exploited to characterize global properties of the systems. In particular, we evaluate the classical (magnetization) and quantum Fisher information of the relevant parameters for the density matrix of a single spin and that of a pair of spins ranging from nearest to sixth-nearest neighbors, to the limiting case of very distant spins. Our results allow us to elucidate the role of the different parameters and to individuate the optimal working regimes for the precise characterization of the system, also clarifying the effects of correlations on the estimation precision.

摘要

我们研究了具有各向异性和Dzyaloshinskii-Moriya（DM）相互作用的临界自旋链中的量子计量学，并展示了如何利用局部和准局部测量来表征系统的全局性质。特别是，我们评估了单个自旋以及一对自旋（从最近邻到第六近邻，直至非常远的自旋的极限情况）的密度矩阵相关参数的经典（磁化）和量子Fisher信息。我们的结果使我们能够阐明不同参数的作用，并确定用于精确表征系统的最佳工作区域，同时也阐明了相关性对估计精度的影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0339/11358295/db72149e37ec/41598_2024_70307_Fig10_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0339/11358295/db72149e37ec/41598_2024_70307_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0339/11358295/d40393b3d669/41598_2024_70307_Fig1_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0339/11358295/180b57b89f69/41598_2024_70307_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0339/11358295/b7c296f39d96/41598_2024_70307_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0339/11358295/74e7f753d409/41598_2024_70307_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0339/11358295/a8b7b148b8b1/41598_2024_70307_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0339/11358295/8b37197c41f5/41598_2024_70307_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0339/11358295/db72149e37ec/41598_2024_70307_Fig10_HTML.jpg

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本文引用的文献

1
Resilience of quantum spin fluctuations against Dzyaloshinskii-Moriya interaction.量子自旋涨落对Dzyaloshinskii-Moriya相互作用的弹性
Sci Rep. 2024 May 1;14(1):10034. doi: 10.1038/s41598-024-60502-y.
2
Entanglement transmission due to the Dzyaloshinskii-Moriya interaction.由于 Dzyaloshinskii-Moriya 相互作用导致的纠缠传输。
Sci Rep. 2023 Feb 20;13(1):2932. doi: 10.1038/s41598-023-29995-x.
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Sequential Measurements for Quantum-Enhanced Magnetometry in Spin Chain Probes.自旋链探测器中量子增强磁力测量的顺序测量
Phys Rev Lett. 2022 Sep 16;129(12):120503. doi: 10.1103/PhysRevLett.129.120503.
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Integrable quantum many-body sensors for AC field sensing.用于交流场传感的可积量子多体传感器。
Sci Rep. 2022 Aug 30;12(1):14760. doi: 10.1038/s41598-022-17381-y.
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Driving Enhanced Quantum Sensing in Partially Accessible Many-Body Systems.在部分可及的多体系统中驱动增强量子传感
Phys Rev Lett. 2021 Aug 20;127(8):080504. doi: 10.1103/PhysRevLett.127.080504.
6
Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction.具有调制的Dzyaloshinskii-Moriya相互作用的自旋1/2 XXZ链的磁相图。
Phys Rev E. 2021 Jul;104(1-1):014134. doi: 10.1103/PhysRevE.104.014134.
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Dynamic Framework for Criticality-Enhanced Quantum Sensing.用于临界增强量子传感的动态框架
Phys Rev Lett. 2021 Jan 8;126(1):010502. doi: 10.1103/PhysRevLett.126.010502.
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First-principles Dzyaloshinskii-Moriya interaction in a non-collinear framework.非共线框架下的第一性原理Dzyaloshinskii-Moriya相互作用
Sci Rep. 2020 Nov 23;10(1):20339. doi: 10.1038/s41598-020-77219-3.
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Dzyaloshinskii-Moriya-like interaction in ferroelectrics and antiferroelectrics.铁电体和反铁电体中的类Dzyaloshinskii-Moriya相互作用。
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