We analyze the propagation of correlations after a sudden interaction change in a strongly interacting quantum system in contact with an environment. In particular, we consider an interaction quench in the Bose-Hubbard model, deep within the Mott-insulating phase, under the effect of dephasing. We observe that dissipation effectively speeds up the propagation of single-particle correlations while reducing their coherence. In contrast, for two-point density correlations, the initial ballistic propagation regime gives way to diffusion at intermediate times. Numerical simulations, based on a time-dependent matrix product state algorithm, are supplemented by a quantitatively accurate fermionic quasiparticle approach providing an intuitive description of the initial dynamics in terms of holon and doublon excitations.

中文翻译：

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多体耗散系统中相关的光锥和扩散传播

我们分析了在与环境接触的强相互作用量子系统中相互作用突然改变后的相关性传播。特别地，我们考虑了在Bose-Hubbard模型中，在相移的影响下，在Mott绝缘相深处的相互作用淬灭。我们观察到，耗散有效地加快了单粒子相关性的传播，同时降低了它们的相干性。相反，对于两点密度相关性，初始弹道传播机制让位于中间时间的扩散。在基于时间的矩阵乘积状态算法的基础上，进行数值模拟，并辅之以定量精确的铁离子准粒子方法，从而根据holon和doublon激发直观地描述了初始动力学。