Spin effects in the particle current of Bose-Einstein condensates in synthetic gauge fields
Abstract
Spin reveals the rotational features of a system independently of its state of motion. Hence, it is not a relativistic quantity, despite giving rise to effects that emerge naturally from relativistic equations only. Within a non-relativistic framework these effects are not inherently captured, and have to be added by resorting to symmetry principles or to the asymptotic limit of the corresponding relativistic framework. We report on one of these effects: the divergenceless spin term in the particle current density of spinor Bose-Einstein condensates. It could be observed in the setup of a synthetic Hall system made with non-relativistic pseudospin-1/2 bosonic particles. By tuning the interaction strength, the system can show how the spin term in the particle current is needed for the local matching of classical drift velocity in the ground state of the non-interacting system, whereas for increasing interparticle interactions the spin-to-orbital current ratio decreases. In either case, since the overall particle velocity changes with the spin term contribution, so does its circulation in a loop, which in turn has physical consequences for its relationship with the Aharonov-Bohm phase shift.
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BibTeX
@misc{martin2026spin,
title = {{Spin effects in the particle current of Bose-Einstein condensates in synthetic gauge fields}},
author = {Hugo Bencomo Martín and Antonio Muñoz Mateo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.17248},
eprint = {2606.17248},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.17248},
}
RIS
TY - UNPB
TI - Spin effects in the particle current of Bose-Einstein condensates in synthetic gauge fields
AU - Hugo Bencomo Martín
AU - Antonio Muñoz Mateo
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2606.17248
UR - https://arxiv.org/abs/2606.17248
AB - Spin reveals the rotational features of a system independently of its state of motion. Hence, it is not a relativistic quantity, despite giving rise to effects that emerge naturally from relativistic equations only. Within a non-relativistic framework these effects are not inherently captured, and have to be added by resorting to symmetry principles or to the asymptotic limit of the corresponding relativistic framework. We report on one of these effects: the divergenceless spin term in the particle current density of spinor Bose-Einstein condensates. It could be observed in the setup of a synthetic Hall system made with non-relativistic pseudospin-1/2 bosonic particles. By tuning the interaction strength, the system can show how the spin term in the particle current is needed for the local matching of classical drift velocity in the ground state of the non-interacting system, whereas for increasing interparticle interactions the spin-to-orbital current ratio decreases. In either case, since the overall particle velocity changes with the spin term contribution, so does its circulation in a loop, which in turn has physical consequences for its relationship with the Aharonov-Bohm phase shift.
ER -