Remarks on BEC on graphs

Abstract

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.

18 pages, Revised version, to appear in Reviews in Mathematical Physics

References in corpus (4)

• Harmonic analysis on inhomogeneous amenable networks and the Bose--Einstein condensation
• Bose Einstein condensation on inhomogeneous amenable graphs
• Geometry of Quasi-Free States of CCR Algebras
• Geometry of Coherent States of CCR Algebras

Cited by in corpus (1)

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