On factors associated with quantum markov states corresponding to nearest neighbor models on a cayley tree

Francesco Fidaleo, Farruh Mukhamedov

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper we consider nearest neighbour models where the spin takes values in the set Φ = {η1, η2, . .., ηq} and is assigned to the vertices of the Cayley tree Γk. The Hamiltonian is defined by some given λ-function. We find a condition for the function λ to determine the type of the von Neumann algebra generated by the GNS - construction associated with the quantum Markov state corresponding to the unordered phase of the λ-model. Also we give some physical applications of the obtained result.

Original languageEnglish
Title of host publicationQuantum Probability And Infinite Dimensional Analysis
Subtitle of host publicationFrom Foundations To Appllications
PublisherWorld Scientific Publishing Co.
Pages237-251
Number of pages15
ISBN (Electronic)9789812702104
DOIs
Publication statusPublished - Jan 1 2005
Externally publishedYes

Keywords

  • Cayley tree
  • Construction
  • Gibbs measure
  • GNS
  • Quantum markov state
  • Unordered phase
  • Von neumann algebra
  • λ-model

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'On factors associated with quantum markov states corresponding to nearest neighbor models on a cayley tree'. Together they form a unique fingerprint.

Cite this