论文标题

基于纠缠的量子杂质的可观察物

Entanglement based observables for quantum impurities

论文作者

Stocker, Lidia, Sack, Stefan H., Ferguson, Michael S., Zilberberg, Oded

论文摘要

当小型相互作用的杂质改变大型非互动环境的物理学时,量子杂质表现出迷人的多体现象。由于环境的无限大小以及局部相关器无法捕获系统中长期纠缠的堆积,因此这种密切相关的非扰动效应的表征尤其具有挑战性。在这里,我们利用基于纠缠的可观察性 - 杂质的纯度 - 作为建立强相关的见证。我们通过在小盒子限制中精确求解开放的Kondo框模型来展示我们计划的实用性,并因此描述了全电子点腔腔设备。具体而言,我们最终表征了系统中的金属对绝缘体相变,并确定(导电)led-lead kondo singlet是如何通过(绝缘)Indrimity Inpurity Singlet形成而淬火的。此外,我们提出了一种实验可行的层析成像协议,以测量纯度,从而激发了通过其纠缠堆积的观察杂质物理学的观察。

Quantum impurities exhibit fascinating many-body phenomena when the small interacting impurity changes the physics of a large noninteracting environment. The characterisation of such strongly correlated non-perturbative effects is particularly challenging due to the infinite size of the environment, and the inability of local correlators to capture the build-up of long-ranged entanglement in the system. Here, we harness an entanglement-based observable - the purity of the impurity - as a witness for the formation of strong correlations. We showcase the utility of our scheme by exactly solving the open Kondo box model in the small box limit, and thus describe all-electronic dot-cavity devices. Specifically, we conclusively characterise the metal-to-insulator phase transition in the system and identify how the (conducting) dot-lead Kondo singlet is quenched by an (insulating) intra-impurity singlet formation. Furthermore, we propose an experimentally feasible tomography protocol for the measurement of the purity, which motivates the observation of impurity physics through their entanglement build-up.

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