Rydberg crystallization detection by statistical means

Details Rydberg crystallization detection by statistical means Rydberg crystallization detection by statistical means

2012-03-20

arxiv.org/abs/1203.4341v1

Physics

Condensed Matter

Quantum Gases

7 pages, 9 figures

Scientific paper

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.

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