Reply to "Comment on `Quantum linear Boltzmann equation with finite intercollision time' ''

Hornberger and Vacchini [Phys. Rev. A82, 036101 (2010); arxiv:0907.3018] claim that the specific collisional momentum decoherence, pointed out in my recent work [Phys. Rev. A80, 064104 (2009); arXiv:0905.3908], is already described by their theory. However, I have performed a calculation whereby I disprove the authors' claim and refute their conclusion that my recent work had no advantage over theirs.