This Reply addresses the Comment by Park, Kim, and Lindberg on our article, “Hermitian stochastic methodology for x-ray superfluorescence” [Phys. Rev. A 109, 063705 (2024)]. The Comment presents criticism, primarily claiming that our derivations involve “a redefinition of physical variables without a clear rationale.” Additionally, it asserts that our methodology closely resembles the stochastic Maxwell-Bloch equations (SMBEs) introduced by Park et al. We disagree with these observations. In this Reply, we further elaborate on the rationale behind our derivations, building on the explanation already provided in the original article. Furthermore, we demonstrate that the “redefinition of physical variables” is an example of stochastic gauge freedom, a well-established concept in methodologies based on positive-$P$ stochastic equations (PPSEs), which underscores the consistency of our derivations with the PPSE formalism. Additionally, we highlight the fundamental differences between our methodology and the SMBEs.

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