Entropy and Exact Matrix Product Representation of the Laughlin Wave Function

Details Entropy and Exact Matrix Product Representation of the Laughlin Wave Function Entropy and Exact Matrix Product Representation of the Laughlin Wave Function

2006-09-05

arxiv.org/abs/cond-mat/0609088v2

Phys.Rev.Lett.98:060402,2007

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.98.060402

An analytical expression for the von Neumann entropy of the Laughlin wave function is obtained for any possible bipartition between the particles described by this wave function, for filling fraction nu=1. Also, for filling fraction nu=1/m, where m is an odd integer, an upper bound on this entropy is exhibited. These results yield a bound on the smallest possible size of the matrices for an exact representation of the Laughlin ansatz in terms of a matrix product state. An analytical matrix product state representation of this state is proposed in terms of representations of the Clifford algebra. For nu=1, this representation is shown to be asymptotically optimal in the limit of a large number of particles.

Affiliated with

Also associated with

No associations

Rating

Entropy and Exact Matrix Product Representation of the Laughlin Wave Function 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 Entropy and Exact Matrix Product Representation of the Laughlin Wave Function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entropy and Exact Matrix Product Representation of the Laughlin Wave Function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-554413