Green function for the nonlinear Luttinger Liquid from nonlinear steepest descent

Speaker: 
Tom Price (Cambridge University, UK)
Event Date and Time: 
Tue, 2016-03-08 14:00 - 15:00
Location: 
Henn 318
Intended Audience: 
Graduate
We discuss the time dependent Green function of the nonlinear Luttinger liquid, using the Fractional Quantum Hall edge as an example. The Green function can be written as a Fredholm determinant, whose long time asymptotics we find by solving an associated Riemann--Hilbert problem using the method of nonlinear steepest descent. The results agree exactly with the mobile impurity model, which has a simple interpretation as a factorization of the solution to the asymptotic Riemann--Hilbert problem.
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