Entropy and Entanglement in Quantum Ground States

Details Entropy and Entanglement in Quantum Ground States Entropy and Entanglement in Quantum Ground States

2007-01-03

arxiv.org/abs/cond-mat/0701055v1

Phys. Rev. B 76, 035114 (2007).

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, no figures

Scientific paper

10.1103/PhysRevB.76.035114

We consider the relationship between correlations and entanglement in gapped quantum systems, with application to matrix product state representations. We prove that there exist gapped one-dimensional local Hamiltonians such that the entropy is exponentially large in the correlation length, and we present strong evidence supporting a conjecture that there exist such systems with arbitrarily large entropy. However, we then show that, under an assumption on the density of states which is believed to be satisfied by many physical systems such as the fractional quantum Hall effect, that an efficient matrix product state representation of the ground state exists in any dimension. Finally, we comment on the implications for numerical simulation.

Affiliated with

Also associated with

No associations

Rating

Entropy and Entanglement in Quantum Ground States 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 Entanglement in Quantum Ground States, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entropy and Entanglement in Quantum Ground States will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-563633