Figure 4
Density profile during adiabatic evolution (N = 9).
The leftmost panel corresponds to a giant vortex like structure, whereas the rightmost one depicts the flat disk shaped profile of the Laughlin state. In the upper row σ = 1 is kept constant while α = 1., 0.5, 0.4, 0.3, 0.2, 0.1, 0. The last part of the ramp down procedure 0 < α ≲ 0.1 is the slowest, due to the large value of Fα in this region (see Fig. 3c). In the lower row we squeeze the laser waist σ = 1., 0.5, 0.25, 0.125, 0.025, 0.00625, 0. at fixed intensity α = 1.: particles spread towards the inner part of the trap in a different way, corresponding in a lower value of Fσ and faster allowed rates of change. For systems within LLL, density profiles after trap release and time-of-flight imaging will simply display rescalings of these pictures.
