# Remarks on BEC on graphs

@article{Kanda2017RemarksOB, title={Remarks on BEC on graphs}, author={T. Kanda}, journal={arXiv: Mathematical Physics}, year={2017} }

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

A model of Josephson Junctions on Boson Systems - Currents and Entropy Production Rate -

- Physics, Mathematics
- 2018

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 consists… Expand

Non-equilibrium steady states for a Harmonic oscillator interacting with several Boson systems - Currents and Entropy production rate -

- Mathematics
- 2018

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-hopping… Expand

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