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Spatial Patterns in Rydberg Excitations from Logarithmic Pair Interactions.

Wolfgang Lechner¹, Peter Zoller¹

¹Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, 6020 Innsbruck, Austria and Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria.

Physical Review Letters

|October 3, 2015

Summary

This summary is machine-generated.

Collective excitations in ultracold atoms form crystal patterns due to Rydberg blockade. Researchers found these patterns can be modeled using effective particles, simplifying the study of Rydberg crystal phases.

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Area of Science:

Quantum optics
Atomic physics
Condensed matter physics

Background:

Dissipative, laser-driven ultracold atoms exhibit collective excitations.
Rydberg blockade is a key many-body mechanism influencing these excitations.
Experimental postselection reveals crystal-like patterns in excitation configurations.

Purpose of the Study:

To represent subensembles of collective excitations using effective particles.
To simplify the study of emergent patterns in Rydberg crystals.
To determine phases of Rydberg crystals and analyze N-body contributions.

Main Methods:

Modeling subensembles with effective particles interacting via logarithmic potentials.
Utilizing a reduced number of effective particles for pattern analysis.
Systematic study of N-body interaction terms.

Main Results:

Subensembles of collective excitations are effectively represented by interacting particles.
Logarithmic pair potentials accurately describe interactions in these effective ensembles.
The model allows for efficient determination of Rydberg crystal phases.

Conclusions:

The effective particle model provides a powerful tool for understanding Rydberg crystal formation.
This approach simplifies complex many-body systems in ultracold atomic ensembles.
It facilitates systematic investigation into the phases and interactions within Rydberg crystals.