• Corpus ID: 119640518

Phonon Bose-Einstein condensation in a Hubbard-phonon interacting system with infrared divergence

  title={Phonon Bose-Einstein condensation in a Hubbard-phonon interacting system with infrared divergence},
  author={Yoshitsugu Sekine},
  journal={arXiv: Mathematical Physics},
  • Y. Sekine
  • Published 26 August 2013
  • Physics
  • arXiv: Mathematical Physics
We show that a finite Hubbard-phonon interacting system exhibits phonon BEC at sufficiently low temperature. We also have the gauge symmetry breaking for phonons. The key tools are a unitary transformation introduced by Arai and Hirokawa \protect{\cite{AH1}} and the Araki-Woods representation. This system is essentially the same as a free system or the van Hove model. 



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