Line Plot from Scientific Research

Bubble density measurements at J = 1 and different hz magnitudes, with hx = 0.002 and t = 2 s. The bubble sizes of n = 1, 2...6 are seen to be dominant around their respective resonances hz = –2 J / n , indicated by the vertical dotted lines. The times shown in b were chosen to allow the number of bubbles to grow and limit the impact of thermal effects. In b, we probably see more than one resonance at a time due to hz ( t ) going through multiple n -bubble resonances ( hz = –2 J / n ) as it goes from a positive value to a specific resonance. This means that if we are probing the 3-bubble resonance, for example, we are also crossing the 4-, 5- and 6-bubble resonances beforehand. If we take into account additional thermalization and bubble interaction effects, there is a high likelihood of observing a few higher resonances ( n = 4, 5 and 6). The error bars across the entire figure come from counting errors on the annealer and are smaller than the size of the symbols.

DOI