A regular chain of quantum particles with nearest neighbour interactions in a canonical state with temperature were studied. The conditions under which the states factored into a product of canonical density matrices with respect to groups of n particles each were analyzed. The conditions under which the groups have the same temperature were also analyzed. The analysis was applied to a harmonic chain and it was found that nmin=was constant for temperatures above the Debye temperature and nmin ∞T -3 below.
ASJC Scopus subject areas
- Physics and Astronomy(all)