On quantum microcanonical equilibrium

Abstract

A quantum microcanonical postulate is proposed as a basis for the equilibrium properties of small quantum systems. Expressions for the corresponding density of states are derived, and are used to establish the existence of phase transitions for finite quantum systems. A grand microcanonical ensemble is introduced, which can be used to obtain new rigorous results in quantum statistical mechanics.

6 pages, 3 figures. To appear in DICE 2006 conference proceedings

References in corpus (3)

• Geometric Quantum Mechanics
• A Theorem on the origin of Phase Transitions
• Unattainability of a purely topological criterion for the existence of a phase transition for non-confining potentials

Cited by in corpus (6)

• Non-thermal statistics in isolated quantum spin clusters after a series of perturbations
• Generalized quantum microcanonical ensemble from random matrix product states
• Quantum Information Dimension and Geometric Entropy
• Comment on "Typicality for Generalized Microcanonical Ensemble"
• Entanglement Induced Phase Transitions
• Estimating the Number of States via the Rodeo Algorithm for Quantum Computation