  We exemplify the impact of beyond Lee-Huang-Yang (LHY) physics, especially
due to intercomponent correlations, in the ground state and the quench dynamics
of one-dimensional so-called quantum droplets using an ab-initio
nonperturbative approach. It is found that the droplet Gaussian-shaped
configuration arising for intercomponent attractive couplings becomes narrower
for stronger intracomponent repulsion and transits towards a flat-top structure
either for larger particle numbers or weaker intercomponent attraction.
Additionally, a harmonic trap prevents the flat-top formation. At the balance
point where mean-field interactions cancel out, we show that a correlation hole
is present in the few particle limit of these fluids as well as for flat-top
droplets. Introducing mass-imbalance, droplets experience intercomponent mixing
and excitation signatures are identified for larger masses. Monitoring the
droplet expansion (breathing motion) upon considering interaction quenches to
stronger (weaker) attractions we explicate that beyond LHY correlations result
in a reduced velocity (breathing frequency). Strikingly, the droplets feature
two-body anti-correlations (correlations) at the same position (longer
distances). Our findings pave the way for probing correlation-induced phenomena
of droplet dynamics in current ultracold atom experiments.
