Analysis of entropy of XY Spin Chain

Details Analysis of entropy of XY Spin Chain Analysis of entropy of XY Spin Chain

2006-06-29

arxiv.org/abs/quant-ph/0606240v1

Proceedings of the Third Feynman Workshop, 2006

Physics

Quantum Physics

6 pages, 1 figure

Scientific paper

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. In this limit, the entropy of the block approaches a constant. The limiting entropy is a function of the anisotropy and of the magnetic field. The entropy reaches minima at product states and increases boundlessly at phase transitions.

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