Order parameter dynamics of the non-linear sigma model in the large $N$ limit
Abstract
We study non-equilibrium order parameter dynamics of the non-linear sigma model in the large limit, using Keldysh formalism. We provide a scheme for obtaining stable numerical solutions of the Keldysh saddle point equations, and use them to study the order parameter dynamics of the model either following a ramp, or in the presence of a periodic drive. We find that the transient dynamics of the order parameter in the presence of a periodic drive is controlled by the drive frequency displaying the phenomenon of synchronization. We also study the approach of the order parameter to its steady state value following a ramp and find out the effective temperature of the steady state. We chart out the steady state temperature of the ordered phase as a function of ramp time and amplitude, and discuss the relation of our results to experimentally realizable spin models.
Keywords
Cite
@article{arxiv.1906.05306,
title = {Order parameter dynamics of the non-linear sigma model in the large $N$ limit},
author = {Sebastian Gemsheim and Ipsita Mandal and Krishnendu Sengupta and Zhiqiang Wang},
journal= {arXiv preprint arXiv:1906.05306},
year = {2020}
}
Comments
typos corrected; published version