Infinite density for cold atoms in shallow optical lattices
arXiv:1310.3425 · doi:10.1209/0295-5075/109/23001
Abstract
Infinite densities can describe the long-time properties of systems when ergodicity is broken and the equilibrium Boltzmann-Gibbs distribution fails. We here perform semiclassical Monte Carlo simulations of cold atoms in dissipative optical lattices with realistic parameters. We show that the momentum infinite density, as well as its scale invariance, should be observable in shallow potentials. We further evaluate the momentum autocorrelation function in the stationary and aging regime.
7 pages, 6 figures
References in corpus (6)
- Non-normalizable densities in strong anomalous diffusion: beyond the central limit theorem
- Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations
- Pesin-Type Identity for Weak Chaos
- Loop Dynamics in DNA Denaturation
- Analysis of power-law exponents by maximum-likelihood maps
- Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions
Cited by in corpus (15)
- The Single Big Jump Principle in Physical Modelling
- Anomalous statistics of laser-cooled atoms in dissipative optical lattices
- Moses, Noah and Joseph Effects in Coupled Lévy Processes
- Infinite ergodic theory meets Boltzmann statistics
- Large-deviations for spatial diffusion of cold atoms
- Transitions in the ergodicity of subrecoil-laser-cooled gases
- Infinite invariant density in a semi-Markov process with continuous state variables
- Observing Power-Law Dynamics of Position-Velocity Correlation in Anomalous Diffusion
- Heavy-tailed phase-space distributions beyond Boltzmann-Gibbs and equipartition: Statistics of confined cold atoms
- Gas of sub-recoiled laser cooled atoms described by infinite ergodic theory
- Infinite ergodic theory for three heterogeneous stochastic models with application to subrecoil laser cooling
- Fluctuations around equilibrium laws in ergodic continuous-time random walks
- Infinite Ergodicity that Preserves the Lebesgue Measure
- Bimodal momentum distribution of laser-cooled atoms in optical lattices
- Deviations from generalized Equipartition in Confined, Laser Cooled Atoms