A generalized quantum microcanonical ensemble

Abstract

We discuss a generalized quantum microcanonical ensemble. It describes isolated systems that are not necessarily in an eigenstate of the Hamilton operator. Statistical averages are obtained by a combination of a time average and a maximum entropy argument to resolve the lack of knowledge about initial conditions. As a result, statistical averages of linear observables coincide with values obtained in the canonical ensemble. Non-canonical averages can be obtained by taking into account conserved quantities which are non-linear functions of the microstate.

improved version, new title

References in corpus (4)

• Average Entropy of a Subsystem
• Canonical Typicality
• Negative heat capacity of sodium clusters
• Solvable model of quantum microcanonical states

Cited by in corpus (9)

• Ensemble averaged entanglement of two-particle states in Fock space
• Typical state of an isolated quantum system with fixed energy and unrestricted participation of eigenstates
• Quantum Fluctuation Relations for Ensembles of Wave Functions
• Thermodynamics of Quantum Heat Bath
• Emergence of equilibrium thermodynamic properties in quantum pure states. I. Theory
• On the thermodynamics of classical micro-canonical systems
• Entanglement of a microcanonical ensemble
• Signatures of Anderson localization and delocalized random quantum states
• Hybrid quantum-classical systems: statistics, entropy, microcanonical ensemble and its connection to the canonical ensemble