Quantum Groups as Hidden Symmetries of Quantum Impurities.

@article{Yakaboylu2018QuantumGA,
  title={Quantum Groups as Hidden Symmetries of Quantum Impurities.},
  author={Enderalp Yakaboylu and Mikhail Shkolnikov and Mikhail Lemeshko},
  journal={Physical review letters},
  year={2018},
  volume={121 25},
  pages={
          255302
        }
}
We present an approach to interacting quantum many-body systems based on the notion of quantum groups, also known as q-deformed Lie algebras. In particular, we show that, if the symmetry of a free quantum particle corresponds to a Lie group G, in the presence of a many-body environment this particle can be described by a deformed group, G_{q}. Crucially, the single deformation parameter, q, contains all the information about the many-particle interactions in the system. We exemplify our… 
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