2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127728We analyze the spin relaxation time $1/T_1$ for a system made of weakly coupled one dimensional ladders.This system allows to probe the dimensional crossover between a Luttinger liquid and a Bose-Einstein condensateof magnons. We obtain the temperature dependence of $1/T_1$ in the various dimensional regimes, and discuss the experimental consequences.4 pages, RevTeX 4, 3 EPS figuresStrongly Correlated ElectronsOther Condensed Mattertext