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Integrable states and exact overlaps for quantum integrable systems



Staff, Students, Academics

Research Centre: Department of Mathematics

Speaker: Eric Vernier (Oxford)


The study of quantum integrable systems out of equilibrium starting from a given initial state ("quantum quench") has been the subject of great interest in the last few years. In particular one can wonder whether one can use integrability to derive exact results in this context. This is a tricky question, as the out-of-equilibrium dynamics genuinely involves a sum over all the system's eigenstates, and the knowledge of the overlaps between these states and the initial state. Such overlaps are also of interest in AdS/CFT, where they represent one point functions. In this talk I will present a classification of "integrable initial states" for which one can compute exact overlaps, as well as the non-equilibrium dynamics of physical observables. This includes product states, but also a rich variety of Matrix Product States, some of which of direct relevance to AdS/CFT problems. Several examples will be presented in the XXZ spin chain, as well as in higher rank chains (SU(3)...).

This is based on collaborations with Lorenzo Piroli and Balázs Pozsgay.

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When and where

3.00pm - 4.00pmTuesday 6th November 2018

C300 Tait Building City, University of London Northampton Square London EC1V 0HB United Kingdom