Entanglement vs. gap for one-dimensional spin systems

Details Entanglement vs. gap for one-dimensional spin systems Entanglement vs. gap for one-dimensional spin systems

2009-01-08

arxiv.org/abs/0901.1108v2

New J. Phys. 12, 025002 (2010).

Physics

Quantum Physics

16 pages. v2 is final published version with slight clarifications

Scientific paper

10.1088/1367-2630/12/2/025002

We study the relationship between entanglement and spectral gap for local Hamiltonians in one dimension. The area law for a one-dimensional system states that for the ground state, the entanglement of any interval is upper-bounded by a constant independent of the size of the interval. However, the possible dependence of the upper bound on the spectral gap Delta is not known, as the best known general upper bound is asymptotically much larger than the largest possible entropy of any model system previously constructed for small Delta. To help resolve this asymptotic behavior, we construct a family of one-dimensional local systems for which some intervals have entanglement entropy which is polynomial in 1/Delta, whereas previously studied systems, such as free fermion systems or systems described by conformal field theory, had the entropy of all intervals bounded by a constant times log(1/Delta).

Affiliated with

Also associated with

No associations

Rating

Entanglement vs. gap for one-dimensional spin systems 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 vs. gap for one-dimensional spin systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement vs. gap for one-dimensional spin systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-63085