We describe recent progress towards deriving the Fundamental Laws of
thermodynamics (the 0th, 1st and 2nd Law) from nonequilibrium quantum
statistical mechanics in simple, yet physically relevant models. Along the way,
we clarify some basic thermodynamic notions and discuss various reversible and
irreversible thermodynamic processes from the point of view of quantum
statistical mechanics.Comment: 23 pages. Some references updated. To appear in J. Stat. Phy