We develop a framework to systematically investigate the influence of many-particle interference on the dynamics of generic $-$ possibly interacting $-$ bosonic systems. We consider mixtures of bosons which belong to several distinguishable species, allowing us to tune the level of many-particle interference, and identify the corresponding signatures in the time-dependent expectation values of observables. Interference contributions to these expectation values can be classified based on the number of interfering particles. Interactions are shown to generate a series of additional, higher-order interference contributions. Finally, based on a decomposition of the Hilbert space of partially distinguishable bosons into irreducible representations of the unitary group, we determine some spectral characteristics of (in)distinguishability.

中文翻译：

---

玻色动力学中的多体干涉

我们开发了一个框架来系统地研究多粒子干涉对通用 $-$ 可能相互作用的 $-$ 玻色子系统的动力学的影响。我们考虑属于几个可区分物种的玻色子的混合物，使我们能够调整多粒子干扰的水平，并在可观测值的时间相关期望值中识别相应的特征。可以根据干扰粒子的数量对这些期望值的干扰贡献进行分类。交互作用会产生一系列额外的、更高阶的干扰贡献。最后，基于将部分可区分玻色子的希尔伯特空间分解为酉群的不可约表示，我们确定了（不）可区分性的一些光谱特征。