Casimir Sign Reversal from Finite-Range Bogoliubov Fluctuations
Abstract
We study the zero-temperature Casimir effect of a three-dimensional Bose fluid with finite-range corrections to its Bogoliubov spectrum. Beyond the universal acoustic contribution scaling as L−3, the long-distance expansion contains a nonuniversal L−5 correction that can compete with the phononic term. We derive this crossover analytically within a minimal isotropic finite-range model and test the asymptotic result against the full dispersion. A regulator-independent Poisson-resummed calculation confirms that sign reversals of the Casimir energy are possible, while showing that the apparent low-coupling zero inferred by balancing only the L−3 and L−5 terms is not quantitatively controlled. Robust sign changes instead occur in the stable regime close to roton softening, where the Casimir energy acquires an oscillatory finite-momentum contribution. Strongly dipolar atomic gases provide a natural motivation for microscopic interaction lengths in the nanometric regime. We further discuss how the resulting nonlinear force law could be probed through the frequency response of a driven nanomechanical resonator.
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BibTeX
@misc{canfora2026casimir,
title = {{Casimir Sign Reversal from Finite-Range Bogoliubov Fluctuations}},
author = {Fabrizio Canfora and Pablo Pais and Luigi Rosa},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20897},
eprint = {2610.20897},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20897},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Casimir Sign Reversal from Finite-Range Bogoliubov Fluctuations
AU - Fabrizio Canfora
AU - Pablo Pais
AU - Luigi Rosa
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20897
UR - https://arxiv.org/abs/2610.20897
AB - We study the zero-temperature Casimir effect of a three-dimensional Bose fluid with finite-range corrections to its Bogoliubov spectrum. Beyond the universal acoustic contribution scaling as L^−3, the long-distance expansion contains a nonuniversal L^−5 correction that can compete with the phononic term. We derive this crossover analytically within a minimal isotropic finite-range model and test the asymptotic result against the full dispersion. A regulator-independent Poisson-resummed calculation confirms that sign reversals of the Casimir energy are possible, while showing that the apparent low-coupling zero inferred by balancing only the L^−3 and L^−5 terms is not quantitatively controlled. Robust sign changes instead occur in the stable regime close to roton softening, where the Casimir energy acquires an oscillatory finite-momentum contribution. Strongly dipolar atomic gases provide a natural motivation for microscopic interaction lengths in the nanometric regime. We further discuss how the resulting nonlinear force law could be probed through the frequency response of a driven nanomechanical resonator.
ER -