Quantum Many-Body Scarring in a Non-Abelian Lattice Gauge Theory

Giuseppe Calajò, Giovanni Cataldi, Marco Rigobello, Darvin Wanisch, Pietro Silvi, Simone Montangero, Jad C. Halimeh
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Abstract

Quantum many-body scarring (QMBS) is an intriguing mechanism of ergodicity breaking that has recently spurred significant attention. Particularly prominent in Abelian lattice gauge theories (LGTs), an open question is whether QMBS nontrivially arises in non-Abelian LGTs. Here, we present evidence of robust QMBS in a non-Abelian SU(2) LGT with dynamical matter. Starting in product states that require little experimental overhead, we show that prominent QMBS arises for certain quenches, facilitated through meson and baryon-antibaryon excitations, highlighting its non-Abelian nature. The uncovered scarred dynamics manifests as long-lived coherent oscillations in experimentally accessible local observables as well as prominent revivals in the state fidelity. Our findings bring QMBS to the realm of non-Abelian LGTs, highlighting the intimate connection between scarring and gauge symmetry, and are amenable for observation in a recently proposed trapped-ion qudit quantum computer.
非阿贝尔晶格规理论中的量子多体伤痕
量子多体瘢痕(QMBS)是一种令人感兴趣的厄运破缺机制,最近引起了广泛关注。量子多体伤痕在阿贝尔晶格规理论(LGTs)中尤为突出,一个悬而未决的问题是量子多体伤痕是否会在非阿贝尔 LGTs 中产生。在这里,我们提出了非阿贝尔SU(2) LGT中动态物质的QMBS的证据。从几乎不需要实验开销的产物态开始,我们证明在某些淬火中会出现突出的 QMBS,并通过介子和重子-反重子激发得到促进,从而突出了它的非阿贝尔性质。所发现的伤痕动力学表现为无法通过实验获得的长期相干振荡和状态保真度的显著恢复。我们的发现将 QMBS 带到了非阿贝尔 LGT 的领域,突出了瘢痕与规对称性之间的密切联系,并适合在最近提出的困离子量子计算机中进行观测。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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