# Order parameter dynamics of the non-linear sigma model in the large $N$ limit

### Submission summary

 As Contributors: Ipsita Mandal Arxiv Link: https://arxiv.org/abs/1906.05306v1 Date submitted: 2019-06-24 Submitted by: Mandal, Ipsita Submitted to: SciPost Physics Domain(s): Theoretical Subject area: Condensed Matter Physics - Theory

### Abstract

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.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 1906.05306v1 on 24 June 2019