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Comptes Rendus
Physique
Amaury Micheli and Scott Robertson
Corrigendum to “Dissipative parametric resonance in a modulated 1D Bose gas”
Published online
Part of Special Issue: Simulating gravitational problems with condensed matter
analog models : a special issue in memory of Renaud Parentani (1962-2020)
Guest editors: Jacqueline Bloch (Université Paris-Saclay, CNRS, Centre de
Nanosciences et de Nanotechnologies, Palaiseau, France),
Iacopo Carusotto (Pitaevskii BEC Center, INO-CNR, Trento, Italy) and Chris
Westbrook (Laboratoire Charles Fabry de l’Institut d’Optique, Palaiseau, France)
https://doi.org/10.5802/crphys.262
This article is licensed under the
Creative Commons Attribution 4.0 International License.
http://creativecommons.org/licenses/by/4.0/
C EN T R E
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https://doi.org/10.5802/crphys.262
Erratum / Erratum
Simulating gravitational problems with condensed matter analog
models : a special issue in memory of Renaud Parentani
(1962-2020) / Simuler des problèmes gravitationnels avec des
modèles analogues en matière condensée : un numéro spécial en
mémoire de Renaud Parentani (1962-2020)
Corrigendum to “Dissipative parametric
resonance in a modulated 1D Bose gas”
Corrigendum à « Résonance paramétrique dissipative
dans un gaz de Bose 1D modulé »
AmauryMicheli ,a and Scott Robertson ,b
a RIKEN Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS), Wako, Saitama 351-0198, Japan
b Institut Pprime, CNRS – Université de Poitiers – ISAE-ENSMA, 11 Bd. Marie et Pierre Curie,
86073 Chasseneuil-du-Poitou, France
E-mails: amaury.micheli@riken.jp, scott-james.robertson@cnrs.fr
Manuscript received 9 September 2025, accepted 10 September 2025.
This note corrects the article “Dissipative parametric resonance in a modulated 1D Bose gas”
published online in Comptes Rendus Physique on 24 April 2025, Volume 25, Special Issue S2, 2024,
https://doi.org/10.5802/crphys.250.
First, in the text immediately following eq. (30), it is stated that: “...in the classical non-
dissipative case, ∆= n − c is exactly conserved.” This is incorrect: in the classical non-dissipative
case, eq. (30) reduces to
(∂t +G) (n − c) = 0, (1)
which implies that ∆(t ) = ∆(0)e−Gt . However, it remains true that the negative source term
−G/2, which encodes the contribution from vacuum fluctuations, is necessary for an initially
positive∆(0) > 0 to become negative. Since∆< 0 is here a necessary and sufficient entanglement
criterion, this justifies interpreting entanglement as a signature of amplification of vacuum
fluctuations.
Second, the sentence immediately following begins: “The positivity of the dissipative source
term means that it tends to degrade the degree of correlation...” With the correction above,
this wording may be unclear. To put it differently, as the dissipative source term contributes
positively to the RHS of eq. (30), it acts counter to the vacuum contribution and thus hinders the
progression towards an entangled state.
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