Probing number squeezing of ultracold atoms across the superfluid-Mott insulator transition
Fabrice Gerbier, Simon Foelling, Artur Widera, Olaf Mandel, Immanuel, Bloch

TL;DR
This paper experimentally investigates how on-site number fluctuations of ultracold atoms evolve across the superfluid-Mott insulator transition, providing direct evidence of number squeezing through suppression of spin-changing collisions.
Contribution
It demonstrates the continuous suppression of spin-changing collisions as a signature of number squeezing and identifies a threshold atom number for Mott plateau formation.
Findings
Suppression of spin-changing collisions indicates number squeezing.
Threshold atom number aligns with Mott plateau formation.
Number fluctuations decrease across the transition.
Abstract
The evolution of on-site number fluctuations of ultracold atoms in optical lattices is experimentally investigated by monitoring the suppression of spin-changing collisions across the superfluid-Mott insulator transition. For low atom numbers, corresponding to an average filling factor close to unity, large on-site number fluctuations are necessary for spin-changing collisions to occur. The continuous suppression of spin-changing collisions is thus a direct evidence for the emergence of number-squeezed states. In the Mott insulator regime, we find that spin-changing collisions are suppressed until a threshold atom number, consistent with the number where a Mott plateau with doubly-occupied sites is expected to form.
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