论文标题

subradiant边缘状态在具有波导介导的跳跃的原子链中

Subradiant edge states in an atom chain with waveguide-mediated hopping

论文作者

McDonnell, Ciaran, Olmos, Beatriz

论文摘要

我们分析了由两个相同的发射器耦合到波导的系统形成的系统的拓扑和动力学特性,该链的引导模式会引起全能的激发跳跃。我们发现,在单个激发极限中,描述系统的连贯动力学的哈密顿量的庞大拓扑特性与一维su-Schrieffer-heeger(SSH)模型相同。但是,由于交换相互作用的远程特征,我们发现散装对应关系的弱化。当我们改变链之间的晶格常数和偏移时,遇到边缘状态的定位长度和质量间隙的变化来说明这一点。最有趣的是,我们在分析上确定了边缘状态出现的参数状态,这些参数状态完全本地定位到链的边界,而不是系统大小。这些边缘状态不仅对链中原子的位置障碍不仅具有鲁棒性,而且在不可避免的耗散过程的情况下,即使是动态稳定的,也可以动态稳定,从而确立了波导QED系统的能力,以实现对称性受保护的拓扑阶段。

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the bulk topological properties of the Hamiltonian that describes the coherent dynamics of the system are identical to the ones of a one-dimensional Su-Schrieffer-Heeger (SSH) model. However, due to the long-range character of the exchange interactions, we find weakening of the bulk-boundary correspondence. This is illustrated by the variation of the localization length and mass gap of the edge states encountered as we vary the lattice constant and offset between the chains. Most interestingly, we analytically identify parameter regimes where edge states arise which are fully localized to the boundaries of the chain, independently of the system size. These edge states are shown to be not only robust against positional disorder of the atoms in the chain, but also subradiant, i.e., dynamically stable even in the presence of inevitable dissipation processes, establishing the capacity of waveguide QED systems for the realization of symmetry protected topological phases.

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