We study the nature of the excitations of an antiferromagnetic (AFM) Heisenberg chain with staggered long range interactions using the time-dependent density matrix renormalization group method and by means of a multi-spinon approximation. The chain undergoes true symmetry breaking and develops long range order, transitioning from a gapless spin liquid to a gapless ordered AFM phase. The spin dynamical structure factor shows that the emergence of N\'eel order can be associated to the formation of bound states of spinons that become coherent magnons. The quasiparticle band leaks out from the two-spinon continuum that is pushed up to higher energies. Our physical picture is also supported by an analysis of the behavior of the excitations in real-time.

中文翻译：

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从反作用强的海森堡链中的受限自旋子到相干磁振子，具有长程相互作用

我们使用时间依赖的密度矩阵重新归一化群方法并借助多斯道朗近似，研究了具有交错的远距离相互作用的反铁磁（AFM）Heisenberg链的激发性质。该链经历了真正的对称性断裂并发展了长程有序，从无间隙的自旋液体转变为无间隙的有序AFM相。自旋动力学结构因子表明，N''el级的出现可能与成为相干磁振子的自旋束缚态的形成有关。准粒子带从两刺的连续体中泄漏出来，并被推向更高的能量。实时分析激励行为也可以支持我们的物理图像。