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This research investigates the stability of bound states in spinor Bose-Einstein condensates, revealing that particle exchange dynamics between hyperfine states can disrupt configurations predicted by non-spinor models. By developing an effective classical Lagrangian model validated against numerical simulations, the study provides a robust framework for understanding soliton trajectories and interspecies interactions under magnetic fields. These findings advance theoretical control over quantum gas systems where spin mixing plays a central role in defining collective behavior.
Spin mixing induced dynamics of spinor solitons in $F=1$ Bose Einstein condensates
arXiv:2606.14231v1 Announce Type: cross Abstract: We explore soliton interactions in a homogeneous spinor $F=1$ Bose Einstein Condensate (BEC) in the presence of a magnetic field, focusing on dark bright dark and bright dark bright configurations. We investigate how these interactions depend on the phase differences among bright solitons and their influence during the dynamics. Our findings align with prior non spinor results, i.e., repulsion among in phase bright solitons and attraction among out of phase pairs in self repulsive atomic BECs. The potential bright soliton attraction, added to the short range repulsion of dark dark soliton interactions, can lead to bound states. However, we find that these bound states break in the presence of spinor interactions due to the particle exchange dynamics between the hyperfine states of the components. Additonally, we develop an effective classical model to describe the soliton dynamics, using a Lagrangian approach. The accuracy of the model is tested by comparing it against numerical simulations. Our results suggest that the proposed model captures the essential features of soliton behavior in the presence of spin interactions, and provides congruent soliton trajectories and interspecies particle exchange dynamics in most of the cases.
Abstract:We explore soliton interactions in a homogeneous spinor $F=1$ Bose Einstein Condensate (BEC) in the presence of a magnetic field, focusing on dark bright dark and bright dark bright configurations. We investigate how these interactions depend on the phase differences among bright solitons and their influence during the dynamics. Our findings align with prior non spinor results, i.e., repulsion among in phase bright solitons and attraction among out of phase pairs in self repulsive atomic BECs. The potential bright soliton attraction, added to the short range repulsion of dark dark soliton interactions, can lead to bound states. However, we find that these bound states break in the presence of spinor interactions due to the particle exchange dynamics between the hyperfine states of the components. Additonally, we develop an effective classical model to describe the soliton dynamics, using a Lagrangian approach. The accuracy of the model is tested by comparing it against numerical simulations. Our results suggest that the proposed model captures the essential features of soliton behavior in the presence of spin interactions, and provides congruent soliton trajectories and interspecies particle exchange dynamics in most of the cases.
Quantum Gases (cond-mat.quant-gas); Quantum Physics (quant-ph)
arXiv:2606.14231 [cond-mat.quant-gas]
(or arXiv:2606.14231v1 [cond-mat.quant-gas] for this version)
https://doi.org/10.48550/arXiv.2606.14231 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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