%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 }