The von Neumann entropy and information rate for integrable quantum Gibbs ensembles 2
Oliver Johnson, Yuri Suhov · Bristol Research (University of Bristol) · 2002
In this and the subsequent paper under the same title a number of exactly sovlable models of quantum statistical mechanics are studied in a context of quantum information theory. The basic model in this paper is a lattice system of ideal (free) particles (bosons or fermions), in the infinite-volume lmit of the grand canonical Gibbs ensemble. We interpet the (limiting) von Neumann entropy rate h as the information rate and use the classical Lempel-Ziv universal coding algorithm to assess the value of h from a single eigenvector W of the Gibbs ensemble density matrix p. We also show how to apply this scheme to the Calogero model.