Entanglement in extended Hubbard models and quantum phase transitions

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

14 pages, 8 figures, 2 tables

Scientific paper

10.1103/PhysRevB.75.165106

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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Entanglement in extended Hubbard models and quantum phase transitions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Entanglement in extended Hubbard models and quantum phase transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement in extended Hubbard models and quantum phase transitions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-163709

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.