(see legends), obtained by averaging over (a), (e) $N_{shots}=1$, (b), (f) $N_{shots}=50$, and (c), (g) $N_{shots}=500$. (d), (h) The corresponding $\rho^{(1)}_{\sigma}(t)$ is evaluated within the MB approach. In all cases the system consists of $N_A=3$ and $N_B=1$ fermions confined in a double-well potential and the dynamics is induced by quenching the interspecies interaction from $g_{AB}=0.1$ to $g_{AB}=4.0$.[]{data-label="abb:shots3-1"}](Fig4.eps){width="49.00000%"}

Single-Shot Images {#shots_par_imb}
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In order to offer further possible experimental evidences of the correlated quantum quench dynamics of the FF mixture we simulate in-situ single-shot absorption measurements [@sakmann2016single; @mistakidis2017correlation; @lode2017fragmented]. These measurements essentially probe the spatial configuration of the atoms and they are based on the MB probability distribution which is available within ML-MCTDHX [@ML-MCTDHX]. To simulate the corresponding experimental procedure we perform a convolution of the spatial particle configuration with a point spread function being determined by the corresponding experimental resolution. For more details regarding the numerical implementation of this procedure in binary systems we refer the interested reader to Appendix \[single\_shots\_details\], while more elaborated discussions are provided in Refs. [@mistakidis2017correlation; @erdmann2018correlated]. The point spread function used here possesses a Gaussian shape with width $w_{PSF}=1 \ll l\approx 3.2$, where $l=\sqrt{1/\omega}$ denotes the corresponding harmonic oscillator length. We note that in few-body 