Entanglement in theXYspin chain

DOI10.1088/0305-4470/38/13/011zbMATH Open1112.82013arXivquant-ph/0409027OpenAlexW2020764541MaRDI QIDQ4673087

Author name not available (Why is that?)

Publication date: 29 April 2005

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/quant-ph/0409027

Mathematics Subject Classification ID

No records found.

This page was built for publication: Entanglement in theXYspin chain

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4673087)