Ellipses of Constant Entropy in the XY Spin Chain

Details Ellipses of Constant Entropy in the XY Spin Chain Ellipses of Constant Entropy in the XY Spin Chain

2006-09-13

arxiv.org/abs/quant-ph/0609098v5

J. Phys. A: Math. Theor. 40 (2007) 8467-8478

Physics

Quantum Physics

Revised Version, 20 pages, 8 figures, 1 table

Scientific paper

10.1088/1751-8113/40/29/019

Entanglement in the ground state of the XY model on the infinite chain can be measured by the von Neumann entropy of a block of neighboring spins. We study a double scaling limit: the size of the block is much larger then 1 but much smaller then the length of the whole chain. The entropy of the block has an asymptotic limit. We study this limiting entropy as a function of the anisotropy and of the magnetic field. We identify its minima at product states and its divergencies at the quantum phase transitions. We find that the curves of constant entropy are ellipses and hyperbolas and that they all meet at one point (essential critical point). Depending on the approach to the essential critical point the entropy can take any value between 0 and infinity. In the vicinity of this point small changes in the parameters cause large change of the entropy.

Affiliated with

Also associated with

No associations

Rating

Ellipses of Constant Entropy in the XY Spin Chain 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 Ellipses of Constant Entropy in the XY Spin Chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ellipses of Constant Entropy in the XY Spin Chain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-554721