Rydberg crystallization detection by statistical means

Abstract

We investigate an ensemble of atoms which can be excited into a Rydberg state. Using a disordered quantum Ising model, we perform a numerical simulation of the experimental procedure and calculate the probability distribution function $P(M)$ to create a certain number of Rydberg atoms $M$, as well as their pair correlation function. Using the latter, we identify the critical interaction strength above which the system undergoes a phase transition to a Rydberg crystal. We then show that this phase transition can be detected using $P(M)$ alone.

7 pages, 9 figures

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Cited by in corpus (9)

• Full counting statistics of laser excited Rydberg aggregates in a one-dimensional geometry
• Dynamic formation of Rydberg aggregates at off-resonant excitation
• Exciton dynamics in emergent Rydberg lattices
• A hybrid model for Rydberg gases including exact two-body correlations
• Finite-size effects in strongly interacting Rydberg gases
• Quantum melting of two-component Rydberg crystals
• Elastic properties of a Sc-Zr-Nb-Ta-Rh-Pd high-entropy alloy superconductor
• Signatures in the conductance for phase transitions in excitonic systems
• Detecting an exciton crystal by statistical means