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

Author

Listed:
  • Sebastian Gemsheim

    (Fakultät Physik, Technische Universität Dresden)

  • Ipsita Mandal

    (Laboratory of Atomic And Solid State Physics, Cornell University
    Faculty of Science and Technology, University of Stavanger)

  • Krishnendu Sengupta

    (School of Physical Sciences, Indian Association for the Cultivation of Science)

  • Zhiqiang Wang

    (McMaster University)

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

Suggested Citation

  • Sebastian Gemsheim & Ipsita Mandal & Krishnendu Sengupta & Zhiqiang Wang, 2020. "Order parameter dynamics of the non-linear sigma model in the large N limit," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(3), pages 1-8, March.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:3:d:10.1140_epjb_e2020-100445-1
    DOI: 10.1140/epjb/e2020-100445-1
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    Keywords

    Statistical and Nonlinear Physics;

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