Remarks on BEC on graphs

@article{Kanda2017RemarksOB,
  title={Remarks on BEC on graphs},
  author={T. Kanda},
  journal={arXiv: Mathematical Physics},
  year={2017}
}
  • T. Kanda
  • Published 2017
  • Mathematics, Physics
  • arXiv: Mathematical Physics
We consider Bose--Einstein condensation (BEC) on graphs with transient adjacency matrix and obtain a quasi-free state exhibiting BEC is non-factor and decompose into generalized coherent states. We review necessary and sufficient conditions that a generalized coherent state is faithful, factor, and pure and generalized coherent states are quasi-equivalent as well. 
2 Citations
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Non-equilibrium steady states (NESS), in the sense of D. Ruelle, of Boson systems with Bose--Einstein condensation (BEC) are investigated with the aid of the C^*-algebraic method. The model consistsExpand
Non-equilibrium steady states for a Harmonic oscillator interacting with several Boson systems - Currents and Entropy production rate -
Non-equilibrium steady states (NESS) of Boson systems with different phases are investigated with the aid of the C^*-algebraic method. The system consists of sample and several free or pure-hoppingExpand

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