利用量子点实现弱普适性

中文摘要 AI 辅助

具有连续变化临界指数的量子临界理论在实验上仍然难以实现。在此，我们提出利用量子点架构来实现量子Ashkin-Teller模型和XYZ/八顶点模型，分别通过谐振腔介导相互作用和直接库仑相互作用实现。我们聚焦于Ashkin-Teller和八顶点临界线，它们通过一种非局域对偶性相连，该对偶性将局域序参量与拓扑弦算符联系起来。所提出的平台能够对显式控制临界指数的参数进行微观调控，其中基于库仑相互作用的实现能够达到更强的相互作用区间。我们证明，在短链中即可分辨出连续变化的临界行为。对于实验上现实的参数，可达到的相互作用范围预计会使Ashkin-Teller模型的临界指数产生约10%的变化，而对八顶点模型则会产生显著更大的变化。在两种情况下，预测的变化都远高于估计的测量不确定度。

英文摘要

Quantum critical theories with continuously varying critical exponents remain challenging to access experimentally. Here, we propose quantum-dot architectures for realizing the quantum Ashkin-Teller and XYZ/eight-vertex models using resonator-mediated and direct Coulomb interactions, respectively. We focus on the Ashkin-Teller and eight-vertex critical lines, which are connected by a non-local duality relating local order parameters to topological string operators. The resulting platforms provide microscopic control over the parameters explicitly controlling critical exponents, with the Coulomb-based implementation enabling stronger interaction regimes. We demonstrate that continuously varying critical behavior can already be resolved in short chains. For experimentally realistic parameters, the accessible interaction range is expected to produce changes in the critical exponents of order $10\%$ for the Ashkin-Teller model and substantially larger changes for the eight-vertex model. In both cases, the predicted variations lie well above the estimated measurement uncertainties.

发表机构

• QuTech and Kavli Institute of Nanoscience, Delft University of Technology（代尔夫特理工大学量子技术和卡弗里纳米科学研究所）
• Rudolf Peierls Centre for Theoretical Physics, University of Oxford（牛津大学鲁道夫·皮尔斯理论物理中心）

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