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Quantum quenches in the sine-Gordon model: a semiclassical approach

Presented by: 
Marton Kormos
Monday 11th January 2016 - 10:00 to 11:00
INI Seminar Room 1
Co-author: Gergely Zarand (Budapest University of Technology and Economics)

I will report results on the time evolution of correlation functions after quantum quenches in the sine-Gordon model computed using a semiclassical approach which is expected to yield accurate results for small and slow quenches producing slow quasiparticles with low density. I will demonstrate this by showing that the method reproduces the results of a recent form factor calculation of the relaxation of expectation values. Extending these results, the expectation values of most vertex operators will be shown not to decay to zero. I will give analytic expressions for the relaxation of dynamic correlation functions to find that they have diffusive behavior for large timelike separation. At the end of my talk I will show preliminary results obtained with an improved "semi-semiclassical" version of the method.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons