%0 Book Section %1 statphys23_0219 %A Montorsi, A. %A Anfossi, A. %A Giorda, P. %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 correlated correlations entanglement extended fermions hubbard models multipartite phase quantum statphys23 strongly topic-8 transitions %T Entanglement and Quantum Phase Transitions in Extended Hubbard Models %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=219 %X The role of two-point and multipartite entanglement at Quantum Phase Transitions (QPTs) is investigated in fermionic systems, in which case the typical number of degrees of freedom involved at each site is larger than a qu-bit. We consider a bond-charge extended Hubbard model exactly solvable in one dimension which displays various QPTs. A comparative use of quantum mutual information and single-site Von Neumann entropy allows to distinguish at each transition the nature (if bipartite or multipartite) of the quantum correlations involved 1. Their relative role is quantified through the Correlation Ratio, namely the ratio of quantum mutual information and single site entanglement. Moreover, the presence of an infinite range negativity is seen to signal a bipartite induced QPT. Whereas a finite value of infinite range quantum mutual information is able to capture the presence of off-diagonal long-range order induced by multipartite quantum correlations 2. References\\ 1) A. Anfossi, P. Giorda, A. Montorsi, and F. Traversa, Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions, Phys. Rev. Lett. 95, 056402 (2005)\\ 2) A. Anfossi, P. Giorda, and A. Montorsi, Entanglement in extended Hubbard models and Quantum Phase Transitions, Phys. Rev. B75 (2007)

@incollection{statphys23_0219, abstract = {The role of two-point and multipartite entanglement at Quantum Phase Transitions (QPTs) is investigated in fermionic systems, in which case the typical number of degrees of freedom involved at each site is larger than a qu-bit. We consider a bond-charge extended Hubbard model exactly solvable in one dimension which displays various QPTs. A comparative use of quantum mutual information and single-site Von Neumann entropy allows to distinguish at each transition the nature (if bipartite or multipartite) of the quantum correlations involved [1]. Their relative role is quantified through the Correlation Ratio, namely the ratio of quantum mutual information and single site entanglement. Moreover, the presence of an infinite range negativity is seen to signal a bipartite induced QPT. Whereas a finite value of infinite range quantum mutual information is able to capture the presence of off-diagonal long-range order induced by multipartite quantum correlations [2]. References\\ 1) A. Anfossi, P. Giorda, A. Montorsi, and F. Traversa, Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions, Phys. Rev. Lett. 95, 056402 (2005)\\ 2) A. Anfossi, P. Giorda, and A. Montorsi, Entanglement in extended Hubbard models and Quantum Phase Transitions, Phys. Rev. B75 (2007)}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Montorsi, A. and Anfossi, A. and Giorda, P.}, biburl = {https://www.bibsonomy.org/bibtex/2bb1540adbe3f4d752db1500fd79239cd/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {08ce0a655dd7ba4b89c09f8b950b00b1}, intrahash = {bb1540adbe3f4d752db1500fd79239cd}, keywords = {correlated correlations entanglement extended fermions hubbard models multipartite phase quantum statphys23 strongly topic-8 transitions}, month = {9-13 July}, timestamp = {2007-06-20T10:16:14.000+0200}, title = {Entanglement and Quantum Phase Transitions in Extended Hubbard Models}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=219}, year = 2007 }