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

by Sebastian Gemsheim, Ipsita Mandal, K. Sengupta, Zhiqiang Wang

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

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