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arXiv · 1411.0015

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

Stephan Weis
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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.

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Stephan Weis. 2014-10-31. The MaxEnt extension of a quantum Gibbs family, convex geometry and geodesics. https://doi.org/10.1063/1.4905976

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