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Bose-Einstein condensation on hyperbolic spaces

Published 3 Feb 2022 in math-ph, cond-mat.quant-gas, and math.MP | (2202.01538v2)

Abstract: A well-known conjecture in mathematical physics asserts that the interacting Bose gas exhibits Bose-Einstein condensation (BEC) in the thermodynamic limit. We consider the Bose gas on certain hyperbolic spaces. In this setting, one obtains a short proof of BEC in the infinite-volume limit from the existence of a volume-independent spectral gap of the Laplacian.

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