Entanglement under the renormalization-group transformations on quantum states and in quantum phase transitions

Details Entanglement under the renormalization-group transformations on quantum states and in quantum phase transitions Entanglement under the renormalization-group transformations on quantum states and in quantum phase transitions

2008-10-14

arxiv.org/abs/0810.2564v3

Phys. Rev. A 81, 062313 (2010)

Physics

Quantum Physics

21 pages, 7 figures, published version

Scientific paper

10.1103/PhysRevA.81.062313

We consider quantum states under the renormalization-group (RG) transformations introduced by Verstraete et al. [Phys. Rev. Lett. 94, 140601 (2005)] and propose a quantification of entanglement under such RG (via the geometric measure of entanglement). We examine the resulting entanglement under RG for the ground states of "matrix-product-state" (MPS) Hamiltonians constructed by Wolf et al. [Phys. Rev. Lett. 97, 110403 (2006)] that possess quantum phase transitions. We find that near critical points, the ground-state entanglement exhibits singular behavior. The singular behavior within finite steps of RG obeys a scaling hypothesis and reveals the correlation length exponent. However, under the infinite steps of RG transformation, the singular behavior is rendered different and is universal only when there is an underlying conformal-field-theory description of the critical point.

Affiliated with

Also associated with

No associations

Rating

Entanglement under the renormalization-group transformations on quantum states and in 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 under the renormalization-group transformations on quantum states and in quantum phase transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement under the renormalization-group transformations on quantum states and in quantum phase transitions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-302424