@article{13317,
  abstract     = {We prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables in a typical translation invariant system of quantum spins with L-body interactions, where L is the number of spins. This mathematically verifies the observation first made by Santos and Rigol (Phys Rev E 82(3):031130, 2010, https://doi.org/10.1103/PhysRevE.82.031130) that the ETH may hold for systems with additional translational symmetries for a naturally restricted class of observables. We also present numerical support for the same phenomenon for Hamiltonians with local interaction.},
  author       = {Sugimoto, Shoki and Henheik, Sven Joscha and Riabov, Volodymyr and Erdös, László},
  issn         = {1572-9613},
  journal      = {Journal of Statistical Physics},
  number       = {7},
  publisher    = {Springer Nature},
  title        = {{Eigenstate thermalisation hypothesis for translation invariant spin systems}},
  doi          = {10.1007/s10955-023-03132-4},
  volume       = {190},
  year         = {2023},
}