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

Sebastian Gemsheim, Ipsita Mandal (), Krishnendu Sengupta and Zhiqiang Wang
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Sebastian Gemsheim: Fakultät Physik, Technische Universität Dresden
Ipsita Mandal: Laboratory of Atomic And Solid State Physics, Cornell University
Krishnendu Sengupta: School of Physical Sciences, Indian Association for the Cultivation of Science
Zhiqiang Wang: McMaster University

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 3, 1-8

Abstract: 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. Graphical abstract

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2020-100445-1

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