Transdimensional quantum droplets in an optically trapped Bose mixture
Abstract
We study quantum droplets in a symmetric two-component Bose mixture with interspecies p-wave interactions and a two-dimensional transverse optical lattice. The lattice drives a crossover from an anisotropic three-dimensional gas to weakly coupled one-dimensional tubes. We calculate the ground-state energy and quantum depletion at the Gaussian level and derive their limiting forms. At y=g12/g=−0.95, where the bare mean field is repulsive and no free-space droplet exists, the calculated bulk equation of state supports a self-bound minimum across the crossover: a negative lattice contribution at order n2 supplies the attraction in the three-dimensional regime, and attractive fluctuations do so in the quasi-one-dimensional regime, with the intermediate, transdimensional range described quantitatively by neither limit. The interspecies p-wave interaction modifies only the spin branch. In the parameter range studied, increasing its strength lowers the equilibrium density across the crossover, consistently with a weakening of the induced binding.
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BibTeX
@misc{ye2026transdimensional,
title = {{Transdimensional quantum droplets in an optically trapped Bose mixture}},
author = {Xiaoran Ye and Yi Zhang and Ziheng Zhou and Zhaoxin Liang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11047},
eprint = {2609.11047},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11047},
}
RIS
TY - UNPB
TI - Transdimensional quantum droplets in an optically trapped Bose mixture
AU - Xiaoran Ye
AU - Yi Zhang
AU - Ziheng Zhou
AU - Zhaoxin Liang
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.11047
UR - https://arxiv.org/abs/2609.11047
AB - We study quantum droplets in a symmetric two-component Bose mixture with interspecies p-wave interactions and a two-dimensional transverse optical lattice. The lattice drives a crossover from an anisotropic three-dimensional gas to weakly coupled one-dimensional tubes. We calculate the ground-state energy and quantum depletion at the Gaussian level and derive their limiting forms. At y=g_12/g=−0.95, where the bare mean field is repulsive and no free-space droplet exists, the calculated bulk equation of state supports a self-bound minimum across the crossover: a negative lattice contribution at order n^2 supplies the attraction in the three-dimensional regime, and attractive fluctuations do so in the quasi-one-dimensional regime, with the intermediate, transdimensional range described quantitatively by neither limit. The interspecies p-wave interaction modifies only the spin branch. In the parameter range studied, increasing its strength lowers the equilibrium density across the crossover, consistently with a weakening of the induced binding.
ER -