RT Journal Article
T1 Self-similar nonequilibrium dynamics of a many-body system with power-law interactions
A1 Gutiérrez Díez, Ricardo
A1 Garrahan, Juan P.
A1 Lesanovsky, Igor
AB 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.
PB American Physical Society
SN 1539-3755
YR 2015
FD 2015-12-28
LK https://hdl.handle.net/10016/31826
UL https://hdl.handle.net/10016/31826
LA eng
NO The research leading to these results has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013) and ERC Grant Agreement No. 335266 (ESCQUMA), the EU-FET grant HAIRS, 612862 and from the University of Nottingham. Further funding was received through the H2020-FETPROACT-2014 Grant No. 640378 (RYSQ). We also acknowledge financial support from EPSRC Grant No. EP/J009776/1. Our work has benefited from the computational resources and assistance provided by the University of Nottingham High Performance Computing service.
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RD 1 sept. 2024