SciPost Submission Page
Order parameter dynamics of the non-linear sigma model in the large $N$ limit
by Sebastian Gemsheim, Ipsita Mandal, K. Sengupta, Zhiqiang Wang
|As Contributors:||Ipsita Mandal|
|Submitted by:||Mandal, Ipsita|
|Submitted to:||SciPost Physics|
|Subject area:||Condensed Matter Physics - Theory|
We study non-equilibrium order parameter dynamics of the non-linear sigma model in the large $N$ limit, using Keldysh formalism. We provide a scheme for obtaining stable numerical solution of the Keldysh saddle point equations and use them to study 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.