Entanglement in XY Spin Chain

Details Entanglement in XY Spin Chain Entanglement in XY Spin Chain

2004-09-03

arxiv.org/abs/quant-ph/0409027v4

Journal Phys. A: Math. Gen. vol 38, pages 2975-2990, 2005

Physics

Quantum Physics

8 pages and 2 figures

Scientific paper

10.1088/0305-4470/38/13/011

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.

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