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We develop an analytic theory for the ground state patterns and their phase transitions for spin-1 Bose-Einstein condensates on a bounded domain in the presence of a uniform magnetic field. Within the Thomas-Fermi approximation, these…

Analysis of PDEs · Mathematics 2015-10-01 I-Liang Chern , Chiu-Fen Chou , Tien-Tsan Shieh

We investigate the scaling of the energy cascade in a harmonically trapped, turbulent, rotating Bose-Einstein condensate (BEC) in two dimensions. We achieve turbulence by injecting a localized perturbation into the condensate and gradually…

We examine the internal structure of the ground states of a trapped Bose-Einstein condensate in which atoms have three internal hyperfine spins. We determine a set of collective spin states which minimize the interaction energy between…

Soft Condensed Matter · Physics 2009-10-31 C. K. Law , H. Pu , N. P. Bigelow

We consider a two-dimensional self-bound quantum droplet, which consists of a mixture of two Bose-Einstein condensates. We start with the ground state, and then turn to the rotational response of this system, in the presence of an external…

Quantum Gases · Physics 2020-08-26 P. Examilioti , G. M. Kavoulakis

We show that attractive spinor Bose-Einstein condensates under the action of spin-orbit coupling (SOC) and Zeeman splitting form self-sustained stable two- and three-dimensional (2D and 3D) states in free space, even when SOC acts in a…

Quantum Gases · Physics 2020-01-15 Y. V. Kartashov , L. Torner , M. Modugno , E. Ya. Sherman , B. A. Malomed , V. V. Konotop

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

In this work we present numerical study of a trapped Bose-Einstein condensate perturbed by an alternating potential. The relevant physical situation has been recently realized in experiment, where the trapped condensate of $^{87}$Rb, being…

Quantum Gases · Physics 2015-06-24 A. N. Novikov , V. I. Yukalov , V. S. Bagnato

We report families of two-dimensional (2D) composite solitons in spinor dipolar Bose-Einstein condensates, with two localized components linearly mixed by the spin-orbit coupling (SOC), and the intrinsic nonlinearity represented by the…

Pattern Formation and Solitons · Physics 2016-02-24 Xunda Jiang , Zhiwei Fan , Zhaopin Chen , Wei Pang , Yongyao Li , Boris A. Malomed

Recently, the simulation of moir\'e physics using cold atom platforms has gained significant attention. These platforms provide an opportunity to explore novel aspects of moir\'e physics that go beyond the limits of traditional condensed…

Quantum Gases · Physics 2025-04-08 Tian-Tian Li , Ze-Hong Guo , Xiao-Ning Wang , Qizhong Zhu

In the past few decades, the search for supersolid-like phases has attracted great attention in condensed matter and ultracold atom communities. Here we experimentally demonstrate a route for realizing a superfluid stripe-phase in a…

We consider the fate of Bose-Einstein condensation (BEC) with time-reversal symmetry and inversion symmetry in a spin-orbit coupled bilayer system. When these two symmetry operators commute, all the single particle bands are exactly…

Quantum Gases · Physics 2018-01-31 Jia-Ming Cheng , Xiang-Fa Zhou , Zheng-Wei Zhou , Guang-Can Guo , Ming Gong

It was recently found that excited states of semi-vortex and mixed-mode solitons are unstable in spin-orbit-coupled Bose-Einstein condensates (BECs) with contact interactions. We demonstrate a possibility to stabilize such excited states in…

Quantum Gases · Physics 2018-02-07 Chunqing Huang , Yuebo Ye , Shimei Liu , Hexiang He , Wei Pang , B. A. Malomed , Yongyao Li

We study controlled methods of preparing vortex configurations in atomic Bose-Einstein condensates and their use in the studies of fundamental vortex scattering, reconnection processes and superfluid sound emission. We explore techniques of…

Other Condensed Matter · Physics 2009-11-11 J. Ruostekoski , Z. Dutton

The generation of the ground state of a spin vortex in a $^{87}$Rb Bose-Einstein condensate with the assistance of an optical plug has been studied. However, gravity is everywhere, and this potential linear dependence on the spatial…

Quantum Gases · Physics 2025-06-19 Hui Tang , Wenxian Zhang

We report the Bose-Einstein condensate (BEC) in the Bloch bands with off-diagonal periodic potential (ODPP), which simultaneously plays the role of spin-orbit coupling (SOC) and Zeeman field. This model can be realized using two independent…

Quantum Gases · Physics 2019-11-13 Yue-Xin Huang , Wei Feng Zhuang , Xiang-Fa Zhou , Han Pu , Guang-Can Guo , Ming Gong

Vortex nucleation in a Bose-Einstein condensate subject to a stirring potential is studied numerically using the zero-temperature, two-dimensional Gross-Pitaevskii equation. It is found that this theory is able to describe the creation of…

Condensed Matter · Physics 2009-11-07 Emil Lundh , J. -P. Martikainen , Kalle-Antti Suominen

We briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We…

Statistical Mechanics · Physics 2009-11-11 D. A. W. Hutchinson , P. B. Blakie

We investigate a shift in the critical temperature of rotating Bose-Einstein condensates mediated by the melting of the vortex lattice. Numerical simulations reveal that this temperature exhibits contrasting behavior depending on the system…

Quantum Gases · Physics 2024-12-10 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

We present an analytical solution for the vortex lattice in a rapidly rotating trapped Bose-Einstein condensate (BEC) in the lowest Landau level and discuss deviations from the Thomas-Fermi density profile. This solution is exact in the…

Quantum Gases · Physics 2015-05-13 S. I. Matveenko , D. Kovrizhin , S. Ouvry , G. V. Shlyapnikov

We explore topological excitations in a spin-1 Bose-Einstein condensate subjected to an in-plane sinusoidally varying magnetic field and Rashba spin-orbit coupling (SOC). In the absence of SOC, the periodic magnetic field induces…

Quantum Gases · Physics 2024-09-30 Arpana Saboo , Soumyadeep Halder , Subrata Das , Sonjoy Majumder
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