2019/06/30 by Sebastian Gemsheim, Ipsita Mandal, Krishnendu Sengupta +1
Physics and Astronomy · #Control theory (sociology) #Dynamics (music) #Function (biology) #Limit (mathematics) #Limit cycle #Quantum many-body systems #Saddle point #Sigma #Steady state (chemistry) #Theoretical and Computational Physics #Transient (computer programming) #cond-mat.stat-mech #cond-mat.str-el #hep-th #stochastic dynamics and bifurcation
paper · pdf · doi:10.1140/epjb/e2020-100445-1
published as Eur. Phys. J. B (2020) 93: 40 · typos corrected; published version
openalex publication_date 2020/03/01 · arxiv created 2020/03/05 · arxiv updated 2020/03/09 · openalex created_date 2020/03/13 · openalex updated_date 2026/08/05
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