@article{5794,
  abstract     = {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, Gq. Crucially, the single deformation parameter, q, contains all the information about the many-particle interactions in the system. We exemplify our approach by considering a quantum rotor interacting with a bath of bosons, and demonstrate that extracting the value of q from closed-form solutions in the perturbative regime allows one to predict the behavior of the system for arbitrary values of the impurity-bath coupling strength, in good agreement with nonperturbative calculations. Furthermore, the value of the deformation parameter allows one to predict at which coupling strengths rotor-bath interactions result in a formation of a stable quasiparticle. The approach based on quantum groups does not only allow for a drastic simplification of impurity problems, but also provides valuable insights into hidden symmetries of interacting many-particle systems.},
  author       = {Yakaboylu, Enderalp and Shkolnikov, Mikhail and Lemeshko, Mikhail},
  issn         = {00319007},
  journal      = {Physical Review Letters},
  number       = {25},
  publisher    = {American Physical Society},
  title        = {{Quantum groups as hidden symmetries of quantum impurities}},
  doi          = {10.1103/PhysRevLett.121.255302},
  volume       = {121},
  year         = {2018},
}