论文标题

无序的定位和Stark量规保护

Disorder-free localization with Stark gauge protection

论文作者

Lang, Haifeng, Hauke, Philipp, Knolle, Johannes, Grusdt, Fabian, Halimeh, Jad C.

论文摘要

在翻译不变的量规理论中无序的定位提出了量子多体物理学中违反直觉而强大的千古破坏框架。最近已经解决了这种现象的脆弱性,但没有任何方案能够通过所有可访问的进化时间可靠地稳定无序的定位,同时保留无疾病的特性。在这里,我们介绍了\ textIt {stark仪表保护}的概念,该概念需要在量规局部(伪)发电机中进行线性总和,该发电机是由鲜明的潜力加权的。使用精确的对角度化和基于Krylov的方法,我们展示了该方案如何稳定甚至增强$ \ Mathrm {u}(1)$和$ \ Mathbb {z} _2 $ coguge理论的$ \ mathrm {u}(1)$ \ althrm {u}(1)$ \ althrm {u}(1)$中的稳定本地化的本地化,而无需访问所有访问的时间,而无需引入bon bonaa bona bonaa nara stark stark stark stark stark stark stark,我们通过马格努斯(Magnus)的扩展表明,史塔克仪保护下的动力学是由有效的哈密顿量描述的,在该量度上,量规的术语被保护强度和物质站点指数局部抑制,我们认为这是稳定本地化的主要原因。我们的方案在现代的超低原子实验和带有光学镊子的Rydberg-atom设置中很容易可行。

Disorder-free localization in translation-invariant gauge theories presents a counterintuitive yet powerful framework of ergodicity breaking in quantum many-body physics. The fragility of this phenomenon in the presence of gauge-breaking errors has recently been addressed, but no scheme has been able to reliably stabilize disorder-free localization through all accessible evolution times while preserving the disorder-free property. Here, we introduce the concept of \textit{Stark gauge protection}, which entails a linear sum in gauge-symmetry local (pseudo)generators weighted by a Stark potential. Using exact diagonalization and Krylov-based methods, we show how this scheme can stabilize or even enhance disorder-free localization against gauge-breaking errors in $\mathrm{U}(1)$ and $\mathbb{Z}_2$ gauge theories up to all accessible evolution times, without inducing \textit{bona fide} Stark many-body localization. We show through a Magnus expansion that the dynamics under Stark gauge protection is described by an effective Hamiltonian where gauge-breaking terms are suppressed locally by the protection strength and additionally by the matter site index, which we argue is the main reason behind stabilizing the localization up to all accessible times. Our scheme is readily feasible in modern ultracold-atom experiments and Rydberg-atom setups with optical tweezers.

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