Impurities in Schr\"{o}dinger field theories and s-wave resonance
Quantum Gases
2025-09-24 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Nuclear Theory
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.
Keywords
Cite
@article{arxiv.2411.04040,
title = {Impurities in Schr\"{o}dinger field theories and s-wave resonance},
author = {Avia Raviv-Moshe and Siwei Zhong},
journal= {arXiv preprint arXiv:2411.04040},
year = {2025}
}
Comments
14 pages, 6 figures; typo corrected in V2