Locality of temperature

@article{Kliesch2014LocalityOT,
  title={Locality of temperature},
  author={Martin Kliesch and Christian Gogolin and Michael J. Kastoryano and Arnau Riera and Jens Eisert},
  journal={Physical Review X},
  year={2014},
  volume={4},
  pages={031019}
}
This work is concerned with thermal quantum states of Hamiltonians on spin and fermionic lattice systems with short range interactions. We provide results leading to a local definition of temperature, thereby extending the notion of "intensivity of temperature" to interacting quantum models. More precisely, we derive a perturbation formula for thermal states. The influence of the perturbation is exactly given in terms of a generalized covariance. For this covariance, we prove exponential… 

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