Fig. 2 | Nature Communications

Fig. 2

From: Non-Abelian adiabatic geometric transformations in a cold strontium gas

Fig. 2

Ballistic expansion. Time evolution of the bare-state populations after the tripod ignition sequence (duration \(t_0 \simeq 8{\kern 1pt}\) µs) is completed and laser beams have reached equal Rabi frequencies \(\Omega = 2\pi \times 250{\kern 1pt}\) kHz. The blue circles, the green squares, and the red stars correspond to the populations \(\bar P_1\), \(\bar P_2\), and \(\bar P_3\) with \(|i\rangle \equiv |m_g = i + 3/2\rangle\) (i = 1, 2, 3), respectively. The error bars correspond to a 95% confidence interval. Solid lines: theoretical predictions given by Eq. (5). The temperature T, the initial and the final populations of each spin state are the fit parameters. The dashed lines, at early times, extrapolate the fits into the time window t0. We get a temperature \(T = 0.5(1){\kern 1pt}\) µK meaning that the atoms do not move significantly during the dark-state preparation sequence since \(\bar vt_0/\lambda \simeq 0.08\)

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