Gutiérrez Díez, RicardoGarrahan, Juan P.Lesanovsky, Igor2021-02-012021-02-012015-12-28Ricardo Gutiérrez, Juan P. Garrahan, and Igor Lesanovsky. "Self-similar nonequilibrium dynamics of a many-body system with power-law interactions". Phys. Rev. E, Vol. 92, Iss. 6, dec. 20151539-3755https://hdl.handle.net/10016/31826The influence of power-law interactions on the dynamics of many-body systems far from equilibrium is much less explored than their effect on static and thermodynamic properties. To gain insight into this problem we introduce and analyze here an out-of-equilibrium deposition process in which the deposition rate of a given particle depends as a power law on the distance to previously deposited particles. This model draws its relevance from recent experimental progress in the domain of cold atomic gases, which are studied in a setting where atoms that are excited to high-lying Rydberg states interact through power-law potentials that translate into power-law excitation rates. The out-of-equilibrium dynamics of this system turns out to be surprisingly rich. It features a self-similar evolution which leads to a characteristic power-law time dependence of observables such as the particle concentration, and results in a scale invariance of the structure factor. Our findings show that in dissipative Rydberg gases out of equilibrium the characteristic distance among excitations—often referred to as the blockade radius—is not a static but rather a dynamic quantity.eng©2015 American Physical Societyresearch articleMatemáticashttps://doi.org/10.1103/PhysRevE.92.062144open access10621448Physical Review E - Statistical, Nonlinear, and Soft Matter Physics92AR/0000025282