Order parameter dynamics of the non-linear sigma model in the large \(N\) limit. (English) Zbl 1516.82051
Summary: 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.
MSC:
| 82C10 | Quantum dynamics and nonequilibrium statistical mechanics (general) |
Keywords:
statistical and nonlinear physicsReferences:
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