论文标题

在晶格仪理论中稳健的量子多体疤痕

Robust quantum many-body scars in lattice gauge theories

论文作者

Halimeh, Jad C., Barbiero, Luca, Hauke, Philipp, Grusdt, Fabian, Bohrdt, Annabelle

论文摘要

量子多体疤痕是由于存在特殊的非心脏多体征态性特征范围内的特殊多体征收特征性而引起的弱牙齿破裂的范式,其能量相同,并集中在希尔伯特空间的某些地区。尽管已证明疤痕与衡量理论密切相关,但它们在实验相关的模型中的稳定性仍然是一个悬而未决的问题,通常认为它们仅在微调条件下存在。在这项工作中,我们通过基于Krylov的时间进化方法来展示如何在实验错误的情况下通过在$ \ MATHRM {u}(1)$和$ \ Mathbb {z Z} $ vage中使用线性的术语来使量子多体疤痕如何使量子多体疤痕变得可靠。我们的发现是用量子Zeno动力学的概念来解释的。我们的实验可行方法可以很容易地在带有光学镊子的Rydberg原子的现有大规模超低原子量子模拟器和设置中实现。

Quantum many-body scarring is a paradigm of weak ergodicity breaking arising due to the presence of special nonthermal many-body eigenstates that possess low entanglement entropy, are equally spaced in energy, and concentrate in certain parts of the Hilbert space. Though scars have been shown to be intimately connected to gauge theories, their stability in such experimentally relevant models is still an open question, and it is generally considered that they exist only under fine-tuned conditions. In this work, we show through Krylov-based time-evolution methods how quantum many-body scars can be made robust in the presence of experimental errors through utilizing terms linear in the gauge-symmetry generator or a simplified pseudogenerator in $\mathrm{U}(1)$ and $\mathbb{Z}_2$ lattice gauge theories. Our findings are explained by the concept of quantum Zeno dynamics. Our experimentally feasible methods can be readily implemented in existing large-scale ultracold-atom quantum simulators and setups of Rydberg atoms with optical tweezers.

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