论文标题
在具有有效全局不均匀相互作用的原子原理系统中的Bose-Einstein凝结物
Bose-Einstein condensates in an atom-optomechanical system with effective global non-uniform interaction
论文作者
论文摘要
我们考虑了一种混合原子 - 原子力学系统，该系统由光腔内的机械膜和腔外的原子玻璃体冷凝物组成。冷凝物局限于反射在一个空腔镜中的旅行激光束形成的光学晶格电位。我们得出了空腔介导的有效原子 - 原子相互作用电位，并发现它是不均匀的，位点依赖性的，并且不会随着原子间距离的增加而衰减。我们表明，这种有效交互的存在破坏了系统的Z $ _2 $对称性，并引起了新的量子阶段和相变。当远距离相互作用统治时，冷凝水会破坏翻译对称性，并变成一种新型的自组织晶格状状态，而距离较远的位点的颗粒密度增加。我们介绍了系统的相图，并通过计算各自的激发光谱来研究不同阶段的稳定性。该系统可以用作探索长期相互作用引起的各种自组织现象的平台。
We consider a hybrid atom-optomechanical system consisting of a mechanical membrane inside an optical cavity and an atomic Bose-Einstein condensate outside the cavity. The condensate is confined in an optical lattice potential formed by a traveling laser beam reflected off one cavity mirror. We derive the cavity-mediated effective atom-atom interaction potential, and find that it is non-uniform, site-dependent, and does not decay as the interatomic distance increases. We show that the presence of this effective interaction breaks the Z$_2$ symmetry of the system and gives rise to new quantum phases and phase transitions. When the long-range interaction dominates, the condensate breaks the translation symmetry and turns into a novel self-organized lattice-like state with increasing particle densities for sites farther away from the cavity. We present the phase diagram of the system, and investigate the stabilities of different phases by calculating their respective excitation spectra. The system can serve as a platform to explore various self-organized phenomena induced by the long-range interactions.
