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arxiv: quant-ph/0409027 · v4 · submitted 2004-09-03 · 🪐 quant-ph · cond-mat.stat-mech· nlin.SI

Entanglement in XY Spin Chain

classification 🪐 quant-ph cond-mat.stat-mechnlin.SI
keywords entropyblockchainentanglementanisotropyapproachesbennettbernstein
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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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