Self-similar nonequilibrium dynamics of a many-body system with power-law interactions

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Ricardo GutiérrezI Lesanovsky

Abstract

The 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.

References

Jan 28, 2005·Nature·Chaoming SongHernán A Makse
Apr 14, 2006·Nature·Toshiya KinoshitaDavid S Weiss
Dec 31, 2008·Physical Review Letters·Hendrik WeimerHans Peter Büchler
Jan 9, 2010·Annual Review of Physical Chemistry·David Chandler, Juan P Garrahan
Sep 14, 2013·Science·Jörg Schmiedmayer, Jürgen Berges
Oct 1, 2013·Physical Review Letters·C CarrK J Weatherill
Oct 29, 2013·Physical Review Letters·Zi Cai, Thomas Barthel
Feb 4, 2014·Physical Review Letters·H SchemppM Weidemüller
Jul 26, 2014·Physical Review Letters·N MalossiO Morsch
Apr 4, 2015·Physical Review Letters·Daniel BarredoCharles S Adams
Apr 11, 2015·Science·Tim LangenJörg Schmiedmayer
Jun 6, 2015·Physical Review Letters·A UrvoyR Löw
Aug 8, 2015·Physical Review Letters·Jaron SandersServaas Kokkelmans

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Citations

Sep 11, 2019·Physical Review. E·Ricardo GutiérrezIgor Lesanovsky
Apr 24, 2019·Physical Review Letters·Adrian Baule

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