Maximum Entropy Models for Quantum Systems

We show that for a finite von Neumann algebra, the states that maximise Segal’s entropy with a given energy level are Gibbs states. This is a counterpart of the classical result for the algebra of all bounded linear operators on a Hilbert space and von Neumann entropy.

Bibliographic Details
Main Authors: Andrzej Łuczak, Hanna Podsędkowska, Michał Seweryn
Format: Article
Language:English
Published: MDPI AG 2016-12-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/19/1/1