Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTM-UCP
Subjects math-ph
Date Friday 28 February 2020
Time 11:30
Institute LPTM
Seminar Room 4.13 St Martin II
Speaker's Last Name Kitanine
Speaker's First Name Nikolai
Speaker's Email Address
Speaker's Institution IMB, Université de Bourgogne, Dijon.
Title XXX chain: spinons, bound states and form factors.
Abstract Even though the Heisenberg spin chain is one of the best studied examples of quantum integrable systems the crucial problem of analytic description of equilibrium and out-of equilibrium dynamics remains mostly unsolved for this fundamental model. In particular, there exist very few analytic results for time-dependent correlation functions even for the equilibrium case. The main obstacle is the lack of manageable analytic representations for the relevant form factors and overlaps. In this talk I’ll discuss the new method we developed to compute explicitly the form factors for low-energy excited states of the XXX chain. I will show how to use this technique for simplest excitations and how to take into account bound states corresponding to the complex roots of the Bethe equations.
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