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We study the Bose-Einstein condensation (BEC) for a system of $^7Li$ atoms, which have negative scattering length (attractive interaction), confined in a harmonic potential. Within the Bogoliubov and Popov approximations, we numerically…

Condensed Matter · Physics 2007-05-23 B. Pozzi , L. Salasnich , A. Parola , L. Reatto

Weak dipolar effects in atomic Bose-Einstein condensates (BECs) have recently been predicted to develop spin textures. However, observation of these effects requires magnetic field as low as $\sim 10 \mu$G for spin-1 alkali BECs, so that…

Other Condensed Matter · Physics 2008-02-14 Yuki Kawaguchi , Hiroki Saito , Masahito Ueda

Vortex-lattice structures of antiferromagnetic spinor Bose-Einstein condensates with hyperfine spin F=1 are investigated theoretically based on the Ginzburg-Pitaevskii equations near $T_{c}$. The Abrikosov lattice with clear core regions…

Statistical Mechanics · Physics 2009-11-07 T. Kita , T. Mizushima , K. Machida

A three-component nonlinear Schrodinger-type model which describes spinor Bose-Einstein condensate (BEC) is considered. This model is integrable by the inverse scattering method and using Zakharov-Shabat dressing method we obtain three…

Exactly Solvable and Integrable Systems · Physics 2009-07-30 V. A. Atanasov , V. S. Gerdjikov , G. G. Grahovski , N. A. Kostov

In superfluid $^3$He-B externally pumped quantized spin-wave excitations or magnons spontaneously form a Bose-Einstein condensate in a 3-dimensional trap created with the order-parameter texture and a shallow minimum in the polarizing…

Other Condensed Matter · Physics 2014-03-20 P. J. Heikkinen , S. Autti , V. B. Eltsov , J. J. Hosio , M. Krusius , V. V. Zavjalov

We report on the observation of a collective spin mode in a spinor Bose-Einstein condensate. Initially, all spins point perpendicular to the external magnetic field. The lowest energy mode consists in a sinusoidal oscillation of the local…

Quantum Gases · Physics 2018-07-11 S. Lepoutre , L. Gabardos , K. Kechadi , P. Pedri , O. Gorceix , E. Marechal , L. Vernac , B. Laburthe-Tolra

The fundamental phenomenon of Bose-Einstein Condensation (BEC) has been observed in different systems of real and quasi-particles. The condensation of real particles is achieved through a major reduction in temperature while for…

Bose-Einstein condensation (BEC) is a quantum mechanical phenomenon directly linked to the quantum statistics of bosons. While cold atomic gases provide a new arena for exploring the nature of BEC, a long-term quest to confirm BEC of…

Quantum Gases · Physics 2011-07-11 Kosuke Yoshioka , Eunmi Chae , Makoto Kuwata-Gonokami

Starting from the standard three-dimensional (3D) Gross-Pitaevskii equation (GPE) and using a variational approximation, we derive an effective one-dimensional nonpolynomial Schr\"odinger equation (1D-NPSE) governing the axial dynamics of…

Quantum Gases · Physics 2020-01-08 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso

We investigate the stationary vortex solutions in two-dimensional (2D) Rashba spin-orbit (SO) coupled spin-1 Bose-Einstein condensate (BEC). By introducing the generalized momentum operator, the linear version of the system can be solved…

Quantum Gases · Physics 2023-01-03 Jun-Zhu Li , Huan-Bo Luo , Lu Li

The spatial structure of the spinor Bose-Einstein condensates with the spin degrees of freedom is analyzed based on the generalized Gross-Pitaevskii equation (GP) in the light of the present spin domain experiment on m_F=\pm 1, and 0 of the…

Soft Condensed Matter · Physics 2009-10-31 Tomoya Isoshima , Kazushige Machida , Tetsuo Ohmi

We demonstrate that spinor Bose-Einstein condensates (BEC) can be operated as an analog simulator of the two-dimensional vibron model. This algebraic model for the description of bending and stretching vibrations of molecules, in the case…

Quantum Physics · Physics 2025-05-27 Ayaka Usui , Artur Niezgoda , Manuel Gessner

The spinor dynamics of Bose-Einstein condensates of 87Rb atoms with hyperfine spins 1 and 2 were investigated. A technique of simultaneous Ramsey interferometry was developed for individual control of the vectors of two spins with almost…

Quantum Gases · Physics 2018-02-21 Yujiro Eto , Hitoshi Shibayama , Hiroki Saito , Takuya Hirano

Liquid helium 4 had been the only bosonic superfluid available in experiments for a long time. This situation was changed in 1995, when a new superfluid was born with the realization of the Bose-Einstein condensation in ultracold atomic…

Quantum Gases · Physics 2015-05-05 Qizhong Zhu , Biao Wu

We investigate the spontaneous generation of crystallized topological defects via the combining effects of fast rotation and rapid thermal quench on the spin-1 Bose-Einstein condensates. By solving the stochastic projected Gross-Pitaevskii…

Quantum Gases · Physics 2016-11-25 S. -W. Su , C. -H. Hsueh , I. -K. Liu , T. -L. Horng , Y. -C. Tsai , S. -C. Gou , W. M. Liu

Bose-Einstein condensates (BECs) of positronium (Ps) have been of experimental and theoretical interest due to their potential application as the gain medium of a $\gamma$-ray laser. Ps BECs are intrinsically spinor due to the presence of…

Quantum Gases · Physics 2015-04-14 Yi-Hsieh Wang , Brandon M. Anderson , Charles W. Clark

A spin-1 condensate with antiferromagnetic interactions supports nematic spin vortices in the easy-plane polar phase. These vortices have a $2\pi$ winding of the nematic director, with a core structure that depends on the quadratic Zeeman…

Quantum Gases · Physics 2020-09-02 Andrew P. C. Underwood , D. Baillie , P. Blair Blakie , H. Takeuchi

An easy-plane ferromagnetic insulator in a uniform external magnetic field and in contact with a phonon bath and a normal metal bath is studied theoretically in the presence of dc spin current injection via the spin Hall effect in the…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 So Takei

A hydrodynamic description is used to study the zero-temperature properties of a trapped spinor Bose-Einstein condensate in the presence of a uniform magnetic field. We show that, in the case of antiferromagnetic spin-spin interaction, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. -J. Huang , S. -C. Gou

We develop Bogoliubov theory of spin-1 and spin-2 Bose-Einstein condensates (BECs) in the presence of a quadratic Zeeman effect, and derive the Lee-Huang-Yang (LHY) corrections to the ground-state energy, sound velocity, and quantum…

Quantum Gases · Physics 2014-11-20 Shun Uchino , Michikazu Kobayashi , Masahito Ueda