We classify all possible fractional charge vortices of charge less than unity in spin-1 and spin-2 polar and cyclic Bose-Einstein condensates (BECs) with zero magnetization. Statics and dynamics of these vortices in quasi-two-dimensional spinor BECs are studied employing an accurate numerical solution and a Lagrange variational approximation. The results for density and collective-mode oscillation are illustrated using the fractional-charge BEC vortex of $^{23}\mathrm{Na}$ and $^{87}\mathrm{Rb}$ atoms with realistic interaction and trapping potential parameters.We classify all possible fractional charge vortices of charge less than unity in spin-1 and spin-2 polar and cyclic Bose-Einstein condensates (BECs) with zero magnetization. Statics and dynamics of these vortices in quasi-two-dimensional spinor BECs are studied employing an accurate numerical solution and a Lagrange variational approximation. The results for density and collective-mode oscillation are illustrated using the fractional-charge BEC vortex of $^{23}\mathrm{Na}$ and $^{87}\mathrm{Rb}$ atoms with realistic interaction and trapping potential parameters.

arXiv:1601.01541Physical Review AJan 29, 201611 citations

Non-Abelian and 1/3 Fractional Vortices in Spin-2 Bose-Einstein condensates

Azure Hansen, Justin T. Schultz, N. P. Bigelow

Bulletin of the American Physical SocietyJun 11, 20150 citations

Spinor Bose Condensate with Spin: Vortex States and Light Polarization Effect

Hiroshi Kuratsuji

立命舘大学理工学研究所紀要Jan 1, 20030 citations

Vortices in the Ground State of Spinor Bose-Einstein Condensates

Almas F. Sadreev

NATO science for peace and security series. B, Physics and biophysicsJan 1, 20090 citations

Stable fractional vortices in the cyclic states of Bose-Einstein condensates

J. A. M. Huhtamäki, Tapio Simula, M. Kobayashi +1 more

We propose methods to create fractional vortices in the cyclic state of an $F=2$ spinor Bose-Einstein condensate by manipulating its internal spin structure using pulsed microwave and laser fields. The stability of such vortices is studied as a function of the rotation frequency of the confining harmonic trap both in pancake- and cigar-shaped condensates. We find a range of parameters for which the so-called $\frac{1}{3}$ vortex state is energetically favorable. Such fractional vortices could be created in condensates of $^{87}\text{R}\text{b}$ atoms using current experimental techniques facilitating probing of topological defects with non-Abelian statistics.We propose methods to create fractional vortices in the cyclic state of an $F=2$ spinor Bose-Einstein condensate by manipulating its internal spin structure using pulsed microwave and laser fields. The stability of such vortices is studied as a function of the rotation frequency of the confining harmonic trap both in pancake- and cigar-shaped condensates. We find a range of parameters for which the so-called $\frac{1}{3}$ vortex state is energetically favorable. Such fractional vortices could be created in condensates of $^{87}\text{R}\text{b}$ atoms using current experimental techniques facilitating probing of topological defects with non-Abelian statistics.

arXiv:0910.2775Physical Review ANov 4, 200935 citations

^{23}\mathrm{Na}

and

^{87}\mathrm{Rb}

atoms with realistic interaction and trapping potential parameters.

We propose methods to create fractional vortices in the cyclic state of an

F=2

spinor Bose-Einstein condensate by manipulating its internal spin structure using pulsed microwave and laser fields. The stability of such vortices is studied as a function of the rotation frequency of the confining harmonic trap both in pancake- and cigar-shaped condensates. We find a range of parameters for which the so-called

\frac{1}{3}

vortex state is energetically favorable. Such fractional vortices could be created in condensates of

^{87}\text{R}\text{b}

atoms using current experimental techniques facilitating probing of topological defects with non-Abelian statistics.