Anomalous statistics of laser-cooled atoms in dissipative optical lattices

Abstract

Diffusion occurs in numerous physical systems throughout nature, drawing its generality from the universality of the central limit theorem. Around a century ago it was realized that an extension to this type of dynamics can be obtained in the form of ``anomalous" diffusion where distributions are allowed to have heavy, power-law tails. Due to a unique feature of its momentum-dependant dissipative friction force, laser-cooled atomic ensembles can be used as a test bed for such dynamics. The interplay between laser cooling and anomalous dynamics bears deep, predictive implications for fundamental concepts in both equilibrium and non-equilibrium statistical physics. The high degree of control available in cold-atom experiments allows for tuning of the parameters of the friction force, revealing transitions in the dynamical properties of the system. Rare events, in both the momentum and spatial distributions, are described by non-normalized states using tools adapted from infinite ergodic theory. This leads to new experimental and theoretical results, illuminating the various features of the system.

References in corpus (19)

• Lévy walks
• Quantum simulation and computing with Rydberg-interacting qubits
• Quantum Gases in Optical Boxes
• Non-ergodic Intensity Correlation Functions for Blinking Nano Crystals
• Energy distribution and cooling of a single atom in an optical tweezer
• Interaction-induced impeding of decoherence and anomalous diffusion
• Observing emergent hydrodynamics in a long-range quantum magnet
• Diffusion with resetting in a logarithmic potential
• Creation of a Bose-condensed gas of rubidium 87 by laser cooling
• Pesin-Type Identity for Weak Chaos
• Photon Counting Statistics For Blinking CdSe-ZnS Quantum Dots: A Levy Walk Process
• Loop Dynamics in DNA Denaturation
• Aging power spectrum of membrane protein transport and other subordinated random walks
• Dynamics of DNA-breathing: Weak noise analysis, finite time singularity, and mapping onto the quantum Coulomb problem
• Transitions in the ergodicity of subrecoil-laser-cooled gases
• Mean squared displacement in a generalized Lévy walk model
• Generalized equipartition for nonlinear multiplicative Langevin dynamics: application to laser-cooled atoms
• Degenerate Raman sideband cooling of 40K atoms
• Motional Broadening in Ensembles With Heavy-Tail Frequency Distribution

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• Walking on Archimedean Lattices: Insights from Bloch Band Theory
• Short-time large deviation of constrained random acceleration process
• Anomalous diffusion in quantum system driven by heavy-tailed stochastic processes
• Evaluating Gaussianity of heterogeneous fractional Brownian motion