Response to `Comment on Theory of growth of number entropy in disordered systems'

TL;DR

This paper defends previous findings on number entropy in disordered systems against recent comments, clarifying misconceptions and reaffirming the robustness of their results across different initial states.

Contribution

It provides a rebuttal to critiques, reaffirming the validity of their original results and clarifying misunderstandings about initial state dependence.

Findings

Our results are not due to special initial states.

The data in the comment does not refute our findings.

Our conclusions about number entropy are robust across initial states.

Abstract

In a recent preprint by Kiefer-Emmanouilidis, Unanyan, Fleischhauer and Sirker [arxiv:2203.06689] the authors comment on our work which studied the number entropy in strongly disordered systems. The data presented in the comment does not refute what we have stated in our work. In fact several statements about our paper, for example, that the results we presented are due to some special initial states, are incorrect.