Analysis of conformal defects in Schrödinger field theories, indicating implications for many-body states.
A bstract 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 Schrödinger 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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Raviv-Moshe et al. (2025) studied this question.
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