玻色-爱因斯坦凝聚体在横向泵浦红移腔中的相图和动态相
Phase Diagram and dynamical phases of self organization of a Bose-Einstein condensate in a transversely pumped red-detuned cavity
AI总结：
研究了玻色-爱因斯坦凝聚体在横向泵浦红移腔中的相图和动态相，揭示了自组织现象中的稳定性、混沌轨迹和时空模式形成机制。
摘要：
我们研究了一个横向泵浦的原子玻色-爱因斯坦凝聚体，其耦合到单模光学腔中，其中有效的原子-原子相互作用由泵浦和腔体光子介导。许多实验和理论工作已经展示了在这种设置中形成超辐射态，其中泵浦和腔体光的干涉导致形成光格子，在其中原子自洽地组织。这种自组织现象已通过近似的Dicke模型（截断到两个动量状态）以及一维和二维的数值Gross-Pitaevskii模拟进行了广泛研究。在这里，我们对系统进行了完整的平均场分析，包括所有相关的原子动量状态和腔体场。我们绘制了稳态相图随泵浦强度和腔体移频的变化，并深入理解了与时空模式出现相关的不稳定性。我们发现并描述了预测双稳态的参数区域，动态形成混沌轨迹的区域，由正常模式激发之间的共振引起的不稳定性区域，以及具有原子动态但腔体场消失的状态。
英文摘要：
We study a transversely pumped atomic Bose-Einstein Condensate coupled to a single-mode optical cavity, where effective atom-atom interactions are mediated by pump and cavity photons. A number of experiments and theoretical works have shown the formation of a superradiant state in this setup, where interference of pump and cavity light leads to an optical lattice in which atoms self-consistently organize. This self-organization has been extensively studied using the approximate Dicke model (truncating to two momentum states), as well as through numerical Gross-Pitaevskii simulations in one and two dimensions. Here, we perform a full mean-field analysis of the system, including all relevant atomic momentum states and the cavity field. We map out the steady-state phase diagram vs pump strength and cavity detuning, and provide an in-depth understanding of the instabilities that are linked to the emergence of spatio-temporal patterns. We find and describe parameter regimes where mean-field predicts bistability, regimes where the dynamics form chaotic trajectories, instabilities caused by resonances between normal mode excitations, and states with atomic dynamics but vanishing cavity field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
