Entanglement, combinatorics and finite-size effects in spin-chains

Details Entanglement, combinatorics and finite-size effects in spin-chains Entanglement, combinatorics and finite-size effects in spin-chains

2008-08-20

arxiv.org/abs/0808.2741v2

J. Stat. Mech. (2009) P02063

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures, one mathematica file attached

Scientific paper

10.1088/1742-5468/2009/02/P02063

We carry out a systematic study of the exact block entanglement in XXZ spin-chain at Delta=-1/2. We present, the first analytic expressions for reduced density matrices of n spins in a chain of length L (for n<=6 and arbitrary but odd L) of a truly interacting model. The entanglement entropy, the moments of the reduced density matrix, and its spectrum are then easily derived. We explicitely construct the "entanglement Hamiltonian" as the logarithm of this matrix. Exploiting the degeneracy of the ground-state, we find the scaling behavior of entanglement of the zero-temperature mixed state.

Affiliated with

Also associated with

No associations

Rating

Entanglement, combinatorics and finite-size effects in spin-chains 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, combinatorics and finite-size effects in spin-chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement, combinatorics and finite-size effects in spin-chains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-609515