Quantum structures in Rydberg systems

这个项目的目标是从理论上描述玻色子原子的量子简并气体的多体动力学，它们通过两种相互竞争的机制相互作用：由于与里德伯态的耦合而产生的力（里德伯修饰）和由于光子在高精细腔中多次散射而产生的光力学远程力。这两种力都诱导有序，它们之间的相互作用在很大程度上是未知的，它的系统表征将有助于揭示复杂结构形成背后的量子物理过程。我们的分析将在所有阶段参考现有的实验成果。主要的预期结果是原子和腔固定状态的完整表征，作为两个竞争相互作用的相对强度的函数和相应的特征印在腔发射光中。

The goal of this project is to theoretically characterize the many-body dynamics of a quantum degenerate gas of bosonic atoms, which mutually interact via two competing mechanisms: the forces due to the coupling to a Rydberg state (Rydberg dressing) and the optomechanical long-range forces due to multiple scattering of photons in a high-finesse cavity. Both forces induce ordering, their interplay is to large extent unexplored and its systematic characterization would contribute to shed light onto the quantum physical processes undelying complex structure formation. Our analysis will refer at all stages to existing experimental realizations. The main expected result is the full characterization of the atoms and cavity stationary state as a function of the relative strength of the two competing interactions and the corresponding signatures imprinted in the cavity-emitted light.