in Figure 3c, despite the fast decrease of entanglement depth resulting from the increased noise and the destructive effects of decoherence, there are still considerable entanglement depth in the warm atomic ensemble after storing for the time of microseconds level.

It is also accessible to manipulate the size of large-scale entanglement state in the macroscopic ensemble by changing our experimental parameters. There are several elements that will influence the entanglement depth, such as the beam waist, the detuning, and the energy of addressing light. For the far off-resonance DLCZ protocol, we have chosen a “sweet point" for the detuning, which has been experimentally demonstrated to have the lowest unconditional noise [@Dou_npj; @Dou_FORD]. As for the beam waist, it is not appropriate to utilize too large beam waist to provide enough addressing energy. Note that there is no problem for using larger beam waist given that strong addressing light is equipped, whose advantage is that there will be more atoms involved in the creation of entanglement state. In our experiment, we choose a beam waist of $100 \mu m$ for providing a sufficient excitation rate. What dominantly influences the $p_1$ probability in our experiment is the energy of the addressing light 