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Entanglement in XY Spin Chain | | A. R. Its
; B.-Q. Jin
; V. E. Korepin
; | | Date: |
4 Sep 2004 | | Journal: | Journal Phys. A: Math. Gen. vol 38, pages 2975-2990, 2005 | | Subject: | Quantum Physics; Statistical Mechanics; Exactly Solvable and Integrable Systems | quant-ph cond-mat.stat-mech nlin.SI | | Abstract: | 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. | | Source: | arXiv, quant-ph/0409027 | | Services: | Forum | Review | PDF | Favorites | |
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