Pure state quantum statistical mechanics

摘要: The capabilities of a new approach towards the foundations Statistical Mechanics are explored. is genuine quantum in sense that statistical behavior consequence objective uncertainties due to entanglement and uncertainty relations. No additional randomness added by hand no assumptions about priori probabilities made, instead measure concentration results used justify methods Physics. explains applicability microcanonical canonical ensemble tendency equilibrate natural way. This work contains pedagogical review existing literature some results. most important which are: i) A theoretic justification for ensemble. ii) Bounds on subsystem equilibration time. iii) proof generic weak interaction causes decoherence energy eigenbasis. iv) H-Theorem. v) New estimates average effective dimension initial product states from mean vi) time averages observables typically close each other. vii) bound fluctuations purity system coupled bath.