AI 中文总结
研究一维驱动耗散玻色-哈伯德模型，采用随机半经典模拟等数值方法及微扰理论，通过研究两点时空关联表征系统，给出高填充率弱相互作用和低填充率强相互作用下的结果，涵盖系统相图重要区域。
AI 中文摘要
我们考虑一个受非相干泵浦以及单体和两体损耗影响的一维驱动耗散玻色-哈伯德模型，并通过研究其两点时空关联来进行分析。采用随机半经典模拟、张量网络方法等数值方法以及凯尔迪什形式体系内的微扰理论，在不同填充率和相互作用强度下对系统进行表征。给出了两个互补区域的结果：一是在高填充率和弱相互作用下，谱函数线宽中可见 Kardar-Parisi-Zhang 标度；二是在低填充率和强相互作用下，分析平均场转变的剩余情况并确定激发性质的变化。我们的研究涵盖了该系统相图的两个重要区域。
英文摘要
We consider a one-dimensional driven-dissipative Bose-Hubbard model subjected to incoherent pump and one- and two-body losses, and analyze it by studying its two-point space-time correlations. By employing a combination of numerical methods, such as stochastic semi-classical simulations and tensor network methods, as well as perturbation theory within the Keldysh formalism, we characterize the system at varying filling and interaction strength. We present results for two complementary regimes: i) at large filling and weak interactions, where we show that Kardar-Parisi-Zhang scaling is visible in the linewidth of the spectral function and ii) at weak filling and strong interactions, where we analyze what remains of the mean field transition and identify a change of nature of the excitations. Our study covers two important regions of the phase diagram of such a system.
Comments13 pages, 21 figures
