Self-similar non-equilibrium dynamics of a many-body system with power-law interactions
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 depo...
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | https://eprints.nottingham.ac.uk/31203/ |
| _version_ | 1848794150241042432 |
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| author | Gutierrez, Ricardo Garrahan, Juan P. Lesanovsky, Igor |
| author_facet | Gutierrez, Ricardo Garrahan, Juan P. Lesanovsky, Igor |
| author_sort | Gutierrez, Ricardo |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:11:37Z |
| format | Article |
| id | nottingham-31203 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T19:11:37Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-312032017-10-12T20:00:02Z https://eprints.nottingham.ac.uk/31203/ Self-similar non-equilibrium dynamics of a many-body system with power-law interactions Gutierrez, Ricardo Garrahan, Juan P. Lesanovsky, Igor 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. American Physical Society 2015-12-28 Article PeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/31203/1/RydbergSelfSimilarityRevisedPreprint.pdf Gutierrez, Ricardo, Garrahan, Juan P. and Lesanovsky, Igor (2015) Self-similar non-equilibrium dynamics of a many-body system with power-law interactions. Physical Review E, 92 (6). e062144. ISSN 1539-3755 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.062144 doi:10.1103/PhysRevE.92.062144 doi:10.1103/PhysRevE.92.062144 |
| spellingShingle | Gutierrez, Ricardo Garrahan, Juan P. Lesanovsky, Igor Self-similar non-equilibrium dynamics of a many-body system with power-law interactions |
| title | Self-similar non-equilibrium dynamics of a many-body system
with power-law interactions |
| title_full | Self-similar non-equilibrium dynamics of a many-body system
with power-law interactions |
| title_fullStr | Self-similar non-equilibrium dynamics of a many-body system
with power-law interactions |
| title_full_unstemmed | Self-similar non-equilibrium dynamics of a many-body system
with power-law interactions |
| title_short | Self-similar non-equilibrium dynamics of a many-body system
with power-law interactions |
| title_sort | self-similar non-equilibrium dynamics of a many-body system
with power-law interactions |
| url | https://eprints.nottingham.ac.uk/31203/ https://eprints.nottingham.ac.uk/31203/ https://eprints.nottingham.ac.uk/31203/ |