Genuine multipartite correlations in a boundary time crystal

Genuine multipartite correlations in a boundary time crystal
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边界时间晶体中真正的多部分相关性

DOI:
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发表时间:
2021
期刊:
影响因子:
3.7
通讯作者:
E. I. Duzzioni
E. I. Duzzioni
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A.C. Lourenço;Luis Fernando dos Prazeres;T. O. Maciel;F. Iemini;E. I. Duzzioni

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在这项工作中,我们研究了边界时间晶体(BTC)中真正的多体关联(GMC)。边界时间晶体是物质与环境接触的非平衡量子相,其中多体系统的宏观部分打破了时间平移对称性。我们分析了(一)GMC的子系统之间的结构(订单),以及(二)他们建立一个最初不相关的状态的动态。我们发现,在热力学极限下(也只有在这样的极限下),所有阶的多体相关性在BTC阶段都随着时间无限增长,进一步显示出围绕其平均增长的持续振荡行为。相关性的顺序显示其k -分区之间的幂律衰减的层次结构。此外,在长时间限制的GMC的广泛与系统的大小,对比subextensive标度在非时间晶体(铁磁)相的模型。我们还讨论了这些关联的经典和量子性质的基础上的多体纠缠证人,特别是量子Fisher信息(QFI)的分析。GMC和QFI都能够捕捉和区分模型的不同阶段。我们的工作突出了这些特殊的物质非平衡相的真正的多体性质。我们在GMC的动力学中发现了一个谷(I k),所以在下一个时间t = 7。在26中发现Ik的峰值。这种交替行为一直保持到t = 14。48,这使我们能够看到矩阵接近准对角NESS。
In this work we study genuine multipartite correlations (GMC’s) in a boundary time crystal (BTC). Boundary time crystals are nonequilibrium quantum phases of matter in contact to an environment, for which a macroscopic fraction of the many-body system breaks the time-translation symmetry. We analyze both (i) the structure (orders) of GMC’s among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state. We find that, in the thermodynamic limit (and only in such a limit), multipartite correlations of all orders grow indefinitely in time in the BTC phase, further displaying a persistent oscillatory behavior around their mean growth. The orders of the correlations show a power-law decaying hierarchy among its k -partitions. Moreover, in the long-time limit the GMC’s are shown extensive with the system size, contrasting to the subextensive scaling in the non time-crystal (ferromagnetic) phase of the model. We also discuss the classical and quantum nature of these correlations with basis on multipartite entanglement witnesses, specifically, the analysis of the Quantum Fisher Information (QFI). Both GMC and QFI are able to capture and distinguish the different phases of the model. Our work highlights the genuine many-body properties of these peculiar non-equilibrium phases of matter. 34 we find a valley in the dynamics of GMC’s ( I k ), so that in the next time t = 7 . 26 a peak in I k is found. This alternating behavior is maintained until t = 14 . 48, which enable us to see the matrix approaching to the quasi-diagonal NESS.
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