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We study the early-time dynamics of a degenerate Bose gas after a suddenquench of the interaction strength, starting from a weakly interacting gas. Bymaking use of a time-dependent generalization of the Nozi\`eres-Saint-Jamesvariational formalism, we describe the crossover of the early-time dynamicsfrom shallow to deep interaction quenches. We analyze the coherent oscillationsthat characterize both the density of excited states and the Tan's contact as afunction of the final scattering length. For shallow quenches, the oscillatorybehaviour is negligible and the dynamics is universally governed by the healinglength and the mean-field interaction energy. By increasing the finalscattering length to intermediate values, we reveal a universal regime wherethe period of the coherent atom-molecule oscillations is set by the moleculebinding energy. For the largest scattering lengths we can numerically simulatein the unitary regime, we find a universal scaling behaviour of the typicalgrowth time of the momentum distribution in agreement with recent experimentalobservations [C. Eigen et al., Nature 563, 221 (2018)].

Early-time dynamics of Bose gases quenched into the strongly interacting regime