Exact results for quench dynamics and defect production in a two-dimensional model

Details Exact results for quench dynamics and defect production in a two-dimensional model Exact results for quench dynamics and defect production in a two-dimensional model

2007-10-09

arxiv.org/abs/0710.1712v2

Phys. Rev. Lett. 100, 077204 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages including 4 figures; generalized the discussion of the defect density scaling to the case of arbitrary critical expone

Scientific paper

10.1103/PhysRevLett.100.077204

We show that for a d-dimensional model in which a quench with a rate \tau^{-1} takes the system across a d-m dimensional critical surface, the defect density scales as n \sim 1/\tau^{m\nu/(z\nu +1)}, where \nu and z are the correlation length and dynamical critical exponents characterizing the critical surface. We explicitly demonstrate that the Kitaev model provides an example of such a scaling with d=2 and m=\nu=z=1. We also provide the first example of an exact calculation of some multispin correlation functions for a two-dimensional model which can be used to determine the correlation between the defects. We suggest possible experiments to test our theory.

Affiliated with

Also associated with

No associations

Rating

Exact results for quench dynamics and defect production in a two-dimensional model 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 Exact results for quench dynamics and defect production in a two-dimensional model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact results for quench dynamics and defect production in a two-dimensional model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116626