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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The Wiener-Hopf factorization of algebraic matrix valued functions with the help of the Riemann theta function. Quantum entanglement of the spin chains as a case study.

## The Wiener-Hopf factorization of algebraic matrix valued functions with the help of the Riemann theta function. Quantum entanglement of the spin chains as a case study.Add to your list(s) Download to your calendar using vCal - Alexander Its (Indiana University-Purdue University Indianapolis)
- Wednesday 03 July 2024, 09:30-10:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. WHTW02 - WHT Follow on: the applications, generalisation and implementation of the Wiener-Hopf Method The evaluation of the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin can be reduced to the Wiener-Hopf factorization of certain 2×2 algebraic matrix valued functions. We show how this factorization can be performed using the apparatus of the Riemann-Hilbert method and algebra-geometricintegration borrowed from the theory of integrable systems. We would like to thinkabout these calculations as a basis for a conjecture that the Wiener-Hopf factorization of a general algebraic matrix can be performed in terms of the Riemann theta functions associated with a certain algebraic curve. The talk is based on the speaker works with V. Korepin and B. Q. Jin and on his works with F. Mezzadri and M. Y. Mo. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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