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.
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20 October 2021
Reference 46 has been updated from the pre-print version to Reference 46. A. Haldar, P. Haldar, S. Bera, I. Mandal, S. Banerjee, Phys. Rev. Research 2, 013307 (2020). https://doi.org/10.1103/PhysRevResearch.2.013307.
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Gemsheim, S., Mandal, I., Sengupta, K. et al. Order parameter dynamics of the non-linear sigma model in the large N limit. Eur. Phys. J. B 93, 40 (2020). https://doi.org/10.1140/epjb/e2020-100445-1
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DOI: https://doi.org/10.1140/epjb/e2020-100445-1