论文标题

在截断的Schwinger模型中突出的量子多体疤痕

Prominent quantum many-body scars in a truncated Schwinger model

论文作者

Desaules, Jean-Yves, Hudomal, Ana, Banerjee, Debasish, Sen, Arnab, Papić, Zlatko, Halimeh, Jad C.

论文摘要

在当前合成量子物质设置中可实现的高度控制和精确度已使首次尝试量量化凝结物理学中的各种有趣现象,包括那些探测热化或其在封闭量子系统中缺失的现象。在最近的一项工作[desaules \ textit {et al。} [arxiv:2203.08830]中,我们表明,量子多体疤痕 - 特殊的低脑特征状态,它们在不整合系统中薄弱地破坏了无限制系统的弱点 - 在spin- $ s $ s $量子链接模型中汇聚到$(1+1+d lattice) - 在spin-$ s $ s Quantim链接模型中产生的量子。 kogut- susskind限制$ s \ to \ infty $。在这项工作中,我们进一步证明了量子多体疤痕存在于Schwinger模型的截断版本中,并且在质量上比其在Spin-$ s $ Quantum链接模型中更为突出。我们通过执行有限的缩放分析来说明这一点,该分析强烈地表明,在截断的schwinger模型中,疤痕持续存在,以限制$ s \ to \ infty $。尽管它不会渐近地融合到史温格模型,但截短的配方与合成量子物质实验有关,还提供了对量子多体疤痕本质的基本见解,它们与晶格理论的联系以及后者的热力学动力学。我们的结论可以很容易地在当前的冷原子设置中进行测试。

The high level of control and precision achievable in current synthetic quantum matter setups has enabled first attempts at quantum-simulating various intriguing phenomena in condensed matter physics, including those probing thermalization or its absence in closed quantum systems. In a recent work [Desaules \textit{et al.} [arXiv:2203.08830], we have shown that quantum many-body scars -- special low-entropy eigenstates that weakly break ergodicity in nonintegrable systems -- arise in spin-$S$ quantum link models that converge to $(1+1)-$D lattice quantum electrodynamics (Schwinger model) in the Kogut--Susskind limit $S\to\infty$. In this work, we further demonstrate that quantum many-body scars exist in a truncated version of the Schwinger model, and are qualitatively more prominent than their counterparts in spin-$S$ quantum link models. We illustrate this by, among other things, performing a finite-$S$ scaling analysis that strongly suggests that scarring persists in the truncated Schwinger model in the limit $S\to\infty$. Although it does not asymptotically converge to the Schwinger model, the truncated formulation is relevant to synthetic quantum matter experiments, and also provides fundamental insight into the nature of quantum many-body scars, their connection to lattice gauge theories, and the thermalization dynamics of the latter. Our conclusions can be readily tested in current cold-atom setups.

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