Reply to Comment on "Quantum Entangled Dark Solitons formed by Ultracold Atoms in Optical Lattices"

TL;DR

This paper responds to a comment on previous work about quantum dark solitons in ultracold atoms, clarifying the regimes studied and connecting findings to fundamental quantum excitations.

Contribution

It clarifies the distinction between near-mean-field and strongly quantum regimes in dark soliton decay and relates the work to Lieb's excitations and quantum soliton definitions.

Findings

Supporting simulations of dark soliton decay

Connection to Lieb's Type-II excitations

Clarification of quantum dark soliton concepts

Abstract

We reply to Jacek Dziarmaga, Piotr Deuar, and Krzysztof Sacha's comment, arXiv:1001.1045, supporting the authors' simulations but differentiating between near-mean-field and strongly quantum regimes. We clarify that we have three lines of evidence on decay of dark solitons and connect our work to Lieb's Type-II excitations and the true meaning of a quantum dark soliton.