Spatial Patterns of Rydberg Excitations from Logarithmic Pair Interactions

Abstract

The collective excitations in ensembles of dissipative, laser driven ultracold atoms exhibit crystal-like patterns, a many-body effect of the Rydberg blockade mechanism. These crystalline structure are revealed in experiment from a post-selection of configurations with fixed numbers of excitations. Here, we show that these sub-ensemble can be well represented by ensembles of effective particles that interact via logarithmic pair potentials. This allows one to study the emergent patterns with a small number of effective particles to determine the phases of Rydberg crystals and to systematically study contributions from $N$-body terms.

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• 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
• Quantum Spin Ice and dimer models with Rydberg atoms
• Driven-dissipative dynamics of a strongly interacting Rydberg gas
• Entropic enhancement of spatial correlations in a laser-driven Rydberg gas

Cited by in corpus (4)

• Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
• Rydberg superatoms: An artificial quantum system for quantum information processing and quantum optics
• Quantum melting of two-component Rydberg crystals
• Non-equilibrium fluctuations and metastability arising from non-additive interactions in dissipative multi-component Rydberg gases