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Title: The MaxEnt extension of a quantum Gibbs family, convex geometry and geodesics

Abstract

We discuss methods to analyze a quantum Gibbs family in the ultra-cold regime where the norm closure of the Gibbs family fails due to discontinuities of the maximum-entropy inference. The current discussion of maximum-entropy inference and irreducible correlation in the area of quantum phase transitions is a major motivation for this research. We extend a representation of the irreducible correlation from finite temperatures to absolute zero.

Authors:
 [1]
  1. Max-Planck-Institute for Mathematics in the Sciences, Inselstraße 22, D-04103 Leipzig (Germany)
Publication Date:
OSTI Identifier:
22390861
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1641; Journal Issue: 1; Conference: MAXENT 2014: Conference on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Clos Luce, Amboise (France), 21-26 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATIONS; ENTROPY; GEODESICS; GEOMETRY; IRREDUCIBLE REPRESENTATIONS; PHASE TRANSFORMATIONS; QUANTUM MECHANICS

Citation Formats

Weis, Stephan. The MaxEnt extension of a quantum Gibbs family, convex geometry and geodesics. United States: N. p., 2015. Web. doi:10.1063/1.4905976.
Weis, Stephan. The MaxEnt extension of a quantum Gibbs family, convex geometry and geodesics. United States. doi:10.1063/1.4905976.
Weis, Stephan. Tue . "The MaxEnt extension of a quantum Gibbs family, convex geometry and geodesics". United States. doi:10.1063/1.4905976.
@article{osti_22390861,
title = {The MaxEnt extension of a quantum Gibbs family, convex geometry and geodesics},
author = {Weis, Stephan},
abstractNote = {We discuss methods to analyze a quantum Gibbs family in the ultra-cold regime where the norm closure of the Gibbs family fails due to discontinuities of the maximum-entropy inference. The current discussion of maximum-entropy inference and irreducible correlation in the area of quantum phase transitions is a major motivation for this research. We extend a representation of the irreducible correlation from finite temperatures to absolute zero.},
doi = {10.1063/1.4905976},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1641,
place = {United States},
year = {Tue Jan 13 00:00:00 EST 2015},
month = {Tue Jan 13 00:00:00 EST 2015}
}