The effect of random positions for dipole hopping through a Rydberg gas

Abstract

We calculate the effect of two kinds of randomness on the hopping of an excitation through a nearly regular Rydberg gas. We present calculations for how fast the excitation can hop away from its starting position for different dimensional lattices and for different levels of randomness. We also examine the asymptotic in time final position of the excitation to determine whether or not the excitation can be localized. The one dimensional system is an example of Anderson localization where the randomness is in the off-diagonal elements although the long-range nature of the interaction leads to non-exponential decay with distance. The two dimensional square lattice shows a mixture of extended and localized states for large randomness while there is no visible sign of localized states for weak randomness. The three dimensional cubic lattice has few localized states even for strong randomness.

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• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Evidence for coherent collective Rydberg excitation in the strong blockade regime
• Quantum critical behavior in strongly interacting Rydberg gases
• Spatially resolved observation of dipole-dipole interaction between Rydberg atoms
• Spectroscopic observation of resonant electric dipole-dipole interactions between cold Rydberg atoms
• Excitons in Molecular Aggregates with Lévy Disorder: Anomalous Localization and Exchange Broadening of Optical Spectra
• Spectral Line Width Broadening from Pair Fluctuation in a Frozen Rydberg Gas

Cited by in corpus (12)

• Correlated Exciton Transport in Rydberg-Dressed-Atom Spin Chains
• Preparation of hundreds of microscopic atomic ensembles in optical tweezer arrays
• The Spectral Backbone of Excitation Transport in Ultra-Cold Rydberg Gases
• The effect of anisotropy of long-range hopping on localization in three-dimensional lattices
• Rydberg Aggregates
• Algebraic Localization from Power-Law Interactions in Disordered Quantum Wires
• Diffusive to non-ergodic dipolar transport in a dissipative atomic medium
• Time dependence of few-body Förster interactions among ultracold Rydberg atoms
• Topological spin models in Rydberg lattices
• Single-particle localization in a two-dimensional Rydberg spin system
• Lattice models with long-range and number-non-conserving interactions with Zeeman excitations of ultracold magnetic atoms
• Simulations of the angular dependence of the dipole-dipole interaction among Rydberg atoms