Ricardo Gutierrez
Self-similar non-equilibrium dynamics of a many-body system with power-law interactions
Gutierrez, Ricardo; Garrahan, Juan P.; Lesanovsky, Igor
Authors
JUAN GARRAHAN JUAN.GARRAHAN@NOTTINGHAM.AC.UK
Professor of Physics
IGOR LESANOVSKY IGOR.LESANOVSKY@NOTTINGHAM.AC.UK
Professor of Physics
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.
Citation
Gutierrez, R., Garrahan, J. P., & Lesanovsky, I. (2015). Self-similar non-equilibrium dynamics of a many-body system with power-law interactions. Physical Review E, 92(6), Article e062144. https://doi.org/10.1103/PhysRevE.92.062144
Journal Article Type | Article |
---|---|
Publication Date | Dec 28, 2015 |
Deposit Date | Jan 7, 2016 |
Publicly Available Date | Mar 29, 2024 |
Journal | Physical Review E |
Print ISSN | 2470-0045 |
Electronic ISSN | 1539-3755 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 92 |
Issue | 6 |
Article Number | e062144 |
DOI | https://doi.org/10.1103/PhysRevE.92.062144 |
Public URL | https://nottingham-repository.worktribe.com/output/768611 |
Publisher URL | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.062144 |
Files
RydbergSelfSimilarityRevisedPreprint.pdf
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0
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