  Classical dissipative adaptation is a hypothetical non-equilibrium
thermodynamic principle of self-organization in driven matter, relating
transition probabilities with the non-equilibrium work performed by an external
drive on dissipative matter. Recently, the dissipative adaptation hypothesis
was extended to a quantum regime, with a theoretical model where only one
single-photon pulse drives each atom of an ensemble. Here, we further
generalize that quantum model by analytically showing that N cascaded
single-photon pulses driving each atom still fulfills a quantum dissipative
adaptation. Interestingly, we find that the level of self-organization achieved
with two pulses can be matched with a single effective pulse only up to a
threshold, above which the presence of more photons provide unparalleled
degrees of self-organization.
