F. Caruso, and C. Tsallis. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
We present the first physical realization, in a many-body
Hamiltonian system, of the abstract probabilistic structure shown
recently by M. Gell-Mann, Y. Sato and one of us (C.T.), that the
$q$-entropy $S_q$ can conform, for an anomalous value of $q$
(i.e., $q 1)$, to the classical thermodynamical requirement
for the entropy to be extensive. Moreover, we find that the
entropic index $q$ provides a tool to characterize different
universality classes in quantum phase transitions. The present
results suggest a new and powerful approach to measure
entanglement in quantum many-body systems.
%0 Book Section
%1 statphys23_0110
%A Caruso, F.
%A Tsallis, C.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K chains entanglement information mechanics nonextensive nonlocality phase quantum spin statistical statphys23 topic-8 transitions
%T Extensive q-entropy in quantum spin chains
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=110
%X We present the first physical realization, in a many-body
Hamiltonian system, of the abstract probabilistic structure shown
recently by M. Gell-Mann, Y. Sato and one of us (C.T.), that the
$q$-entropy $S_q$ can conform, for an anomalous value of $q$
(i.e., $q 1)$, to the classical thermodynamical requirement
for the entropy to be extensive. Moreover, we find that the
entropic index $q$ provides a tool to characterize different
universality classes in quantum phase transitions. The present
results suggest a new and powerful approach to measure
entanglement in quantum many-body systems.
@incollection{statphys23_0110,
abstract = {We present the first physical realization, in a many-body
Hamiltonian system, of the abstract probabilistic structure shown
recently by M. Gell-Mann, Y. Sato and one of us (C.T.), that the
$q$-entropy $S_q$ can conform, for an anomalous value of $q$
(i.e., $q \neq 1)$, to the classical thermodynamical requirement
for the entropy to be extensive. Moreover, we find that the
entropic index $q$ provides a tool to characterize different
universality classes in quantum phase transitions. The present
results suggest a new and powerful approach to measure
entanglement in quantum many-body systems.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Caruso, F. and Tsallis, C.},
biburl = {https://www.bibsonomy.org/bibtex/2efb5f88f1f92b1f51f59fc8c2f1ca527/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {c4af177f0bf44fbba25048070f28e359},
intrahash = {efb5f88f1f92b1f51f59fc8c2f1ca527},
keywords = {chains entanglement information mechanics nonextensive nonlocality phase quantum spin statistical statphys23 topic-8 transitions},
month = {9-13 July},
timestamp = {2007-06-20T10:16:12.000+0200},
title = {Extensive q-entropy in quantum spin chains},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=110},
year = 2007
}