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arXiv · 2411.04040

Impurities in Schr\"{o}dinger field theories and s-wave resonance

Avia Raviv-Moshe·Siwei Zhong
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Abstract

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.

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Avia Raviv-Moshe, Siwei Zhong. 2024-11-06. Impurities in Schr\"{o}dinger field theories and s-wave resonance. https://arxiv.org/abs/2411.04040

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