Renormalization group flows and quantum phase transitions: fidelity versus entanglement

Details Renormalization group flows and quantum phase transitions: fidelity versus entanglement Renormalization group flows and quantum phase transitions: fidelity versus entanglement

2007-04-23

arxiv.org/abs/0704.2945v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, no figures

Scientific paper

We compare the roles of fidelity and entanglement in characterizing renormalization group flows and quantum phase transitions. It turns out that the scaling parameter extracted from fidelity for different ground states succeeds to capture nontrivial information including stable and unstable fixed points, whereas the von Neumann entropy as a bipartite entanglement measure (or equivalently, majorization relations satisfied by the spectra of the reduced density matrix along renormalization group flows) often fails, as far as the intrinsic irreversibility-information loss along renormalization group flows-is concerned. We also clarify an intimate connection between the von Neumman entropy, majorization relations, and fidelity. The relevance to Zamolodchikov's c theorem is indicated.

Affiliated with

Also associated with

No associations

Rating

Renormalization group flows and quantum phase transitions: fidelity versus entanglement 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 Renormalization group flows and quantum phase transitions: fidelity versus entanglement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization group flows and quantum phase transitions: fidelity versus entanglement will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194713