TL;DR
This paper investigates the conditions for Bose-Einstein condensation of free bosons on networks, linking it to random walk properties, and extends the analysis to bosons in periodic potentials on lattices.
Contribution
It provides a criterion for Bose-Einstein condensation on general networks and periodic lattices, incorporating external periodic potentials.
Findings
Bose-Einstein condensation criterion expressed via random walk behavior
Extension of condensation conditions to bosons in periodic potentials
Analysis applicable to infinite graphs and periodic lattices
Abstract
We consider free Bosons hopping on a network(infinite graph). The condition for Bose-Einstein condensation is given in terms of the random walk on a graph. In case of periodic lattices, we also consider Boson moving in an external periodic potential and obatined the criterion for Bose-Einstein condensation.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum Mechanics and Applications · Opinion Dynamics and Social Influence