中文

Entanglement in XY Spin Chain

量子物理 2009-11-10 v4 统计力学 可精确求解与可积系统

摘要

We consider the ground state of the XY model on an infinite chain at zero temperature. Following Bennett, Bernstein, Popescu, and Schumacher we use entropy of a sub-system as a measure of entanglement. Vidal, Latorre, Rico and Kitaev conjectured that von Neumann entropy of a large block of neighboring spins approaches a constant as the size of the block increases. We evaluated this limiting entropy as a function of anisotropy and transverse magnetic field. We used the methods based on integrable Fredholm operators and Riemann-Hilbert problem. The entropy is singular at phase transitions.

关键词

引用

@article{arxiv.quant-ph/0409027,
  title  = {Entanglement in XY Spin Chain},
  author = {A. R. Its and B. -Q. Jin and V. E. Korepin},
  journal= {arXiv preprint arXiv:quant-ph/0409027},
  year   = {2009}
}

备注

8 pages and 2 figures