Quantum Lattice Models at Intermediate Temperature

@article{Frhlich2001QuantumLM,
  title={Quantum Lattice Models at Intermediate Temperature},
  author={J{\"u}rg Fr{\"o}hlich and Luc Rey-Bellet and Daniel Ueltschi},
  journal={Communications in Mathematical Physics},
  year={2001},
  volume={224},
  pages={33-63}
}
  • Jürg Fröhlich, Luc Rey-Bellet, Daniel Ueltschi
  • Published 2001
  • Mathematics, Physics
  • Communications in Mathematical Physics
  • Abstract: We analyze the free energy and construct the Gibbs-KMS states for a class of quantum lattice systems, at low temperature and when the interactions are almost diagonal, in a suitable basis. The models we study may have continuous symmetries, our results, however, apply to intermediate temperatures where discrete symmetries are broken but continuous symmetries are not. Our results are based on quantum Pirogov–Sinai theory and a combination of high and low temperature expansions. 

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