The MaxEnt extension of a quantum Gibbs family, convex geometry and geodesics
Abstract
We discuss methods to analyze a quantum Gibbs family in the ultracold regime where the norm closure of the Gibbs family fails due to discontinuities of the maximumentropy inference. The current discussion of maximumentropy 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:
 MaxPlanckInstitute for Mathematics in the Sciences, Inselstraße 22, D04103 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), 2126 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. 2015.
"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 ultracold regime where the norm closure of the Gibbs family fails due to discontinuities of the maximumentropy inference. The current discussion of maximumentropy 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 = 2015,
month = 1
}
DOI: 10.1063/1.4905976
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