Transverse momentum transport and collective-mode localization in dipolar tube arrays
Abstract
We study transverse transport of longitudinal momentum in an array of one-dimensional Bose gases coupled by dipolar interactions without particle tunneling. Within zero-temperature Bogoliubov theory, we characterize this transport using the inter-tube momentum correlator and its squared magnitude, termed amplitude and intensity. In a uniform array, pairs of Bogoliubov quasiparticles propagate ballistically across the tubes, while their dephasing produces a t−3 decay of the long-wavelength amplitude. Tube-to-tube density imbalance acts as quenched disorder and localizes the transverse collective modes. At fixed longitudinal momentum, this arrests the growth of the intensity profile, whose time-averaged spatial decay measures the localization length. Equal-time correlations are much less sensitive to disorder and primarily reflect the interaction range: in the uniform array they decay with tube separation as r−7 for dipolar coupling, compared with exponential decay for nearest-neighbor coupling. Finally, sufficiently strong inter-tube repulsion destabilizes the longitudinally uniform state toward density modulations staggered between neighboring tubes, at a threshold independent of density imbalance.
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BibTeX
@misc{polvara2026transverse,
title = {{Transverse momentum transport and collective-mode localization in dipolar tube arrays}},
author = {Camilla Polvara and Nishchhal Verma and Sarang Gopalakrishnan and Vadim Oganesyan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38801},
eprint = {2610.38801},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38801},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Transverse momentum transport and collective-mode localization in dipolar tube arrays
AU - Camilla Polvara
AU - Nishchhal Verma
AU - Sarang Gopalakrishnan
AU - Vadim Oganesyan
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38801
UR - https://arxiv.org/abs/2610.38801
AB - We study transverse transport of longitudinal momentum in an array of one-dimensional Bose gases coupled by dipolar interactions without particle tunneling. Within zero-temperature Bogoliubov theory, we characterize this transport using the inter-tube momentum correlator and its squared magnitude, termed amplitude and intensity. In a uniform array, pairs of Bogoliubov quasiparticles propagate ballistically across the tubes, while their dephasing produces a t^−3 decay of the long-wavelength amplitude. Tube-to-tube density imbalance acts as quenched disorder and localizes the transverse collective modes. At fixed longitudinal momentum, this arrests the growth of the intensity profile, whose time-averaged spatial decay measures the localization length. Equal-time correlations are much less sensitive to disorder and primarily reflect the interaction range: in the uniform array they decay with tube separation as r^−7 for dipolar coupling, compared with exponential decay for nearest-neighbor coupling. Finally, sufficiently strong inter-tube repulsion destabilizes the longitudinally uniform state toward density modulations staggered between neighboring tubes, at a threshold independent of density imbalance.
ER -