Canonical Typicality of Energy Eigenstates of an Isolated Quantum System

Understand

Currently there are two main approaches to describe how quantum statistical physics emerges from an isolated quantum many-body system in a pure state: Canonical Typicality (CT) and Eigenstate Thermalization Hypothesis (ETH).

• These two approaches has different but overlapping areas of validity, phenomenology and set of physical outcomes.
• In this paper we discuss the relation between CT and ETH and propose a formulation of ETH in terms of the reduced density matrix.
• We provide strong numerical evidences for the proposal.