Stefano Evangelisti
Published 2012-10-15, updated 2013-01-19Version 3
We use the semi-classical approach to study the non-equilibrium dynamics of the O(3) non-linear sigma model. For a class of quenches defined in the text, we obtain the order parameter dynamical correlator in the thermodynamic limit. In particular we predict quench-dependent relaxation times and correlation lengths. The approach developed for the O(3) non-linear sigma model can also be applied to the transverse field Ising chain, where the semi-classical results can be directly compared to both the exact and the numerical ones, revealing the limits of the method.
Comments: v1: 26 pages, 10 figures; v2: References added; v3: Comments added, notation clarified
Journal: J. Stat. Mech. (2013) P04003
Order parameter dynamics of the non-linear sigma model in the large $N$ limit
The $J_1$-$J_2$ spin chain and the $O(3)$ non-linear sigma model at $θ= π$
Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
![QR code for arXiv:1210.4028 [cond-mat.stat-mech]](http://oss.arxitics.com/images/favicon.svg)