{"title":"Corotation of two quantized vortices coupled with collective modes in self-gravitating Bose-Einstein condensates","authors":"Kenta Asakawa, Makoto Tsubota","doi":"arxiv-2409.07860","DOIUrl":null,"url":null,"abstract":"We numerically examine the corotation of two parallel quantized vortices in a\nself-gravitating Bose-Einstein condensate (BEC) employing the\nGross-Pitaevskii-Poisson equations. The long-range gravitationally attractive\ninteraction allows the BEC to self-confine without the need for external\npotentials, while the density-dependence of the gravitational potential induces\nintriguing behaviors in the quantized vortices. The aim of this study is to\nprovide a clue for understanding the corotation of two quantized vortices under\nthe influence of gravitational interactions. The corotation of two quantized\nvortices is coupled with collective modes of the BEC, which markedly differs\nfrom the behavior observed in typical BECs confined by an external potential.\nThe rotational period increases linearly with the initial position from the\ncenter of the BEC. This deviation from the quadratic increase observed in a\nuniform BEC suggests that the gravitational interaction exerts a drag effect on\nthe rotating quantized vortices. The two closely positioned quantized vortices\nrotate along elliptical orbits with radial fluctuations. However, when the\nquantized vortices are initially positioned beyond a critical radius comparable\nto their core sizes, their trajectory transitions into an outward spiral,\nimplying the onset of effective dissipation. Our findings demonstrate that the\nradial fluctuations of the quantized vortex resonate with the quadrupole mode\nof the BEC, giving rise to a dissipation mechanism.","PeriodicalId":501211,"journal":{"name":"arXiv - PHYS - Other Condensed Matter","volume":"32 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Other Condensed Matter","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07860","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We numerically examine the corotation of two parallel quantized vortices in a
self-gravitating Bose-Einstein condensate (BEC) employing the
Gross-Pitaevskii-Poisson equations. The long-range gravitationally attractive
interaction allows the BEC to self-confine without the need for external
potentials, while the density-dependence of the gravitational potential induces
intriguing behaviors in the quantized vortices. The aim of this study is to
provide a clue for understanding the corotation of two quantized vortices under
the influence of gravitational interactions. The corotation of two quantized
vortices is coupled with collective modes of the BEC, which markedly differs
from the behavior observed in typical BECs confined by an external potential.
The rotational period increases linearly with the initial position from the
center of the BEC. This deviation from the quadratic increase observed in a
uniform BEC suggests that the gravitational interaction exerts a drag effect on
the rotating quantized vortices. The two closely positioned quantized vortices
rotate along elliptical orbits with radial fluctuations. However, when the
quantized vortices are initially positioned beyond a critical radius comparable
to their core sizes, their trajectory transitions into an outward spiral,
implying the onset of effective dissipation. Our findings demonstrate that the
radial fluctuations of the quantized vortex resonate with the quadrupole mode
of the BEC, giving rise to a dissipation mechanism.