Extended Data Fig. 2: Probing many-body dynamics and mapping the phase boundary. | Nature

Extended Data Fig. 2: Probing many-body dynamics and mapping the phase boundary.

From: Exploring dynamical phase transitions with cold atoms in an optical  cavity

Extended Data Fig. 2

a, Oscillation period as function of the cavity detuning Δ for 2Ωp/(Ng) = 0.104(4), δ = 0 and atoms starting in \(|\downarrow \,\rangle \). Blue points are experimental values, solid red line represents the mean-field prediction for the same drive and atom number, and the shaded red area represents typical experimental fluctuations on 2Ωp/(Ng). The period is extracted from sinusoidal fits to data as in Fig. 2a, after removing a linear term caused by the single-particle dephasing effects. The mean-field value (red solid line) is Tosc = 2π/() with the effective replacements due to inhomogeneous coupling as discussed in Methods. Measurements are taken in the dispersive limit where \(\varDelta \gg \sqrt{N}g\). b, Critical detuning δc as function of the drive Δ for Δ/(2π) = ±50 MHz (red and blue points, respectively). We also plot the theoretical prediction for the phase boundary (equation (11)) with rescaled parameters, and predictions of the numerical model (solid lines) including uncertainty based on the typical fluctuations in Ω/(χN). Error bars are statistical (1σ).

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