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Self-similar non-equilibrium dynamics of a many-body system with power-law interactions | | Ricardo Gutiérrez
; Juan P. Garrahan
; Igor Lesanovsky
; | | Date: |
9 Jul 2015 | | 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. Although rather simplistic 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.
Moreover, it displays a crossover to a mean-field regime as a function of the
power-law exponent. 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. | | Source: | arXiv, 1507.2652 | | Services: | Forum | Review | PDF | Favorites | |
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