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Finite-temperature mutual information in a simple phase transition

Autor(en)

Johannes Wilms, Julien Vidal, Frank Verstraete, Sebastien Dusuel

Abstrakt

We study the finite-temperature behavior of the Lipkin–Meshkov–Glick

model with a focus on correlation properties as measured by the mutual

information. The latter, which quantifies the amount of both classical

and quantum correlations, is computed exactly in the two limiting cases

of vanishing magnetic field and vanishing temperature. For all other

situations, numerical results provide evidence of a finite mutual

information at all temperatures except at criticality. There, it

diverges as the logarithm of the system size, with a prefactor that can

take only two values, depending on whether the critical temperature

vanishes or not. Our work provides a simple example in which the mutual

information appears as a powerful tool to detect finite-temperature

phase transitions, contrary to entanglement measures such as the

concurrence.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Centre National De La Recherche Scientifique (CNRS), Lycée Saint-Louis

Journal

Journal of Statistical Mechanics: Theory and Experiment

Band

2012

Anzahl der Seiten

DOI

https://doi.org/10.1088/1742-5468/2012/01/P01023

Publikationsdatum

01-2012

Peer-reviewed

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

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