标题： Schrödinger场论中的杂质和s波共振 显示英文标题

标题： Impurities in Schrödinger field theories and s-wave resonance

摘要： 我们研究了非相对论量子场论中的点杂质，重点是尺度不变的不动点。 我们建立了薛定谔场论中共形缺陷的框架及其与谐振陷阱中多体态的对应关系。 我们讨论了由杂质诱导的一体波函数的多临界量子化，并以自由费米气体和单位费米气体为例。 我们的结果可能在实验装置中得到检验。 显示英文摘要

摘要： We study point impurities in non-relativistic quantum field theories, with a focus on scale-invariant fixed points. We establish the framework of conformal defects in Schr\"{o}dinger field theories and their correspondence to many-body states in a harmonic trap. We discuss a multi-critical quantization of the one-body wave function induced by an impurity, with examples of free and unitary Fermi gases. Our results can potentially be tested in experimental setups.