Title: Universal properties of probability distributions for Rydberg atoms arrays.
Abstract: The size of the Hilbert space of quantum lattice models grows exponentially with their spatial size. A large majority of the states have very low probabilities. Their large number may compensate their low probability if they can contribute coherently to some observables.
We address the question of the contributions of low probability states to the entanglement entropy and mutual information of bipartite ladders of Rydberg atoms by calculating their cumulative probability distribution. We discuss their asymptotic behavior and their approximate data collapse for systems of increasing size. We discuss the implications for practical sampling
using numerical methods and analog calculations with the QuEra Aquila device. This work is done in collaboration with J. Corona, A. Kaufman, Z. Ozzello, B. Senseman and M. Asaduzzaman.
Zoom link to live session: https://uiowa.zoom.us/j/99570315915
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