Entanglement in Extended Hubbard models and Quantum Phase Transitions

Item Type: Article
MIUR type: Article > Journal article
Title: Entanglement in Extended Hubbard models and Quantum Phase Transitions
Authors string: Anfossi A; Giorda P; Montorsi A.
University authors:
Journal or Publication Title: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS
Referee type: Not specified type
Publisher: APS
Volume: 75
Page Range: 165106-
Number of Pages: 14
ISSN: 1098-0121
Abstract: The role of two-point and multipartite entanglement at quantum phase transitions (QPTs) in correlated electron systems is investigated. We consider a bond-charge extended Hubbard model exactly solvable in one dimension which displays various QPTs—with two (qubit) as well as more (qudit) on-site degrees of freedom involved. The analysis is carried out by means of appropriate measures of bipartite/multipartite quantum correlations. It is found that all transitions ascribed to two-point correlations are characterized by an entanglement range which diverges at the transition points. The exponent coincides with that of the correlation length at the transitions. We introduce the correlation ratio, namely, the ratio of quantum mutual information and single-site entanglement. We show that at T=0, it captures the relative role of two-point and multipartite quantum correlations at transition points, generalizing to qudit systems the entanglement ratio. Moreover, a finite value of quantum mutual information between infinitely distant sites is seen to quantify the presence of off-diagonal long-range order induced by multipartite entanglement
Date: 2007
Status: Published
Language of publication: English
Uncontrolled Keywords: multipartite entanglement, quantum phase transitions
Departments (original): DIFIS - Physics
Departments: DISAT - Department of Applied Science and Technology
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    Subjects: Area 02 - Scienze fisiche > FISICA TEORICA, MODELLI E METODI MATEMATICI
    Date Deposited: 17 Apr 2007 14:04
    Last Modified: 07 Feb 2014 01:19
    Id Number (DOI): 10.1103/PhysRevB.75.165106
    Permalink: http://porto.polito.it/id/eprint/1546857
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