发表机构
School of Physical Sciences, Indian Association for the Cultivation of Science; CQuERE, TCG Centres of Research and Education in Science and Technology（印度科学文化促进会物理科学学院; TCG科学技术研究与教育中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文用投影算子方法研究二维Bose-Hubbard模型耦合腔中超冷玻色子的平衡相与非平衡淬火/斜坡动力学，发现量子涨落显著改变相边界并影响淬火后振荡行为，与平均场理论对比突出其重要性。
AI 中文摘要
我们采用投影算子技术来研究由二维（2D）Bose-Hubbard模型描述的超冷玻色子与高精细度腔耦合时的平衡相以及非平衡淬火和斜坡动力学，该模型具有竞争的局域短程和腔介导的长程相互作用。我们的分析依赖于对高能虚跳跃过程的系统性消除；这使我们能够捕捉短程量子涨落对模型相图的影响，同时将腔诱导的长程相互作用在平均场理论中处理。我们发现超流（SF）、超固态（SS）、电荷密度波（CDW）和莫特绝缘体（MI）相之间的相边界因这些涨落的存在而显著修改。我们使用这种方法研究从CDW到SS和SF相的淬火/斜坡后的玻色子动力学；我们的分析表明存在由单一频率表征的振荡动力学，这是由于将系统带到临界点附近的淬火所致。相比之下，对于深入SF相内部的淬火，动力学涉及多个频率。与Gutzwiller平均场理论的明确比较显示了量子涨落在塑造这种淬火后动力学中的重要性；这一特征可能如我们所讨论的那样在实验上得到验证。我们还研究了这些玻色子的斜坡动力学，并确定了斜坡速率的上限，超过该速率，当前方法预计会产生准确的结果。
英文摘要
We employ a projection operator technique to study the equilibrium phases and the non-equilibrium quench and ramp dynamics of ultracold bosons described by a two-dimensional (2D) Bose-Hubbard model coupled to a high-finesse cavity with competing local short-range and cavity-mediated long-range interactions. Our analysis relies on a systematic elimination of high-energy virtual hopping processes; this enables us to capture the effects of short-range quantum fluctuations on the phase diagram of the model while treating the cavity-induced long-range interaction within mean-field theory. We find that the phase boundaries between the superfluid (SF), supersolid (SS), charge-density-wave (CDW) and Mott insulating (MI) phases are significantly modified by the presence of these fluctuations. We use this approach to study the dynamics of bosons following a quench/ramp from the CDW to the SS and SF phases; our analysis indicates the presence of oscillatory dynamics characterized by a single frequency due to a quench which takes the system near the critical point. In contrast, for a quench deep inside the SF phase, the dynamics involves multiple frequencies. An explicit comparison with Gutzwiller mean-field theory shows the importance of quantum fluctuations in shaping such post-quench dynamics; this feature may be tested experimentally as we discuss. We also study the ramp dynamics of these bosons and identify a bound on the ramp rate above which the present method is expected to produce accurate results.
Commentsv1; 20 pages, 10 figs
