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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 use analytical arguments and large-scale Monte Carlo calculations to investigate the nature of the phase transitions between distinct complex superfluid phases in a two-component Bose--Einstein condensate when a non-dissipative drag…

Statistical Mechanics · Physics 2008-11-26 E. K. Dahl , E. Babaev , S. Kragset , A. Sudbo

The ground states of Bose-Einstein condensates of spin-2 bosons are classified into three distinct (ferromagnetic, ^^ ^^ antiferromagnetic", and cyclic) phases depending on the s-wave scattering lengths of binary collisions for total-spin…

Statistical Mechanics · Physics 2009-11-07 Masahito Ueda , Masato Koashi

Dipolar Bose-Einstein condensates represent a powerful platform for the exploration of quantum many-body phenomena arising from long-range interactions. A series of recent experiments has demonstrated the formation of supersolid states of…

Quantum Gases · Physics 2021-07-14 Yong-Chang Zhang , Thomas Pohl , Fabian Maucher

We consider a novel system of two-component atomic Bose-Einstein condensate in a double-well potential. Based on the well-known two-mode approximation, we demonstrate that there are obvious avoided level-crossings when both interspecies and…

Other Condensed Matter · Physics 2009-11-11 Weibin Li , Wenxing Yang , Xiaotao Xie , Jiahua Li , Xiaoxue Yang

Quantum vortices in the multi-component Bose-Einstein condensation (BEC) are investigated theoretically. It is found that three kinds of the vortex configurations are possible and their physical properties are discussed in details,…

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

We study a physical system consisting of a Bose-Einstein condensate confined to a ring shaped lattice potential interrupted by three weak links. The system is assumed to be driven by an effective flux piercing the ring lattice. By employing…

We study the area-dependent entropy and two-site entanglement for two state Bose-Einstein condensates in a 2D optical lattice. We consider the case where the array of two component condensates behave like an ensemble of spin-half particles…

Quantum Physics · Physics 2015-06-26 H. T. Ng , K. Burnett

We investigate the vortex patterns appearing in a two-dimensional annular Bose-Einstein condensate rotating in a quadratic plus quartic confining potential. We show that in the limit of small anharmonicity the Gross-Pitaevskii energy can be…

Statistical Mechanics · Physics 2009-11-13 X. Blanc , N. Rougerie

The structure and stability of vortices in hybrid atomic-molecular Bose-Einstein condensates is analyzed in the framework of a two-component Gross-Pitaevskii-type model that describes the stimulated Raman-induced photoassociation process.…

Condensed Matter · Physics 2009-11-07 Tristram J. Alexander , Yuri S. Kivshar , Elena A. Ostrovskaya , Paul S. Julienne

We investigate the 2D weakly interacting Bose-Einstein condensate in a rotating trap by the tools of quantum information theory. The critical exponents of the ground state fidelity susceptibility and the correlation length of the system are…

Quantum Gases · Physics 2009-12-04 Zhao Liu , Hongli Guo , Shu Chen , Heng Fan

We investigate the nonequilibrium dynamics of a two-dimensional rotating Bose gas confined in a symmetric anharmonic trap, employing the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We study states ranging from…

We consider a cylindrically symmetric trap containing a small Bose-Einstein condensate with a singly quantized vortex on the axis of symmetry. A time-dependent variational Lagrangian analysis yields the small-amplitude dynamics of the…

Statistical Mechanics · Physics 2009-10-31 Marion Linn , Alexander L. Fetter

We investigate theoretically the condensate state and collective excitations of a two-component Bose gas in two-dimensional harmonic traps subject to isotropic Rashba spin-orbit coupling. In the weakly interacting regime when the…

Quantum Gases · Physics 2015-03-19 B. Ramachandhran , Bogdan Opanchuk , Xia-Ji Liu , Han Pu , Peter D. Drummond , Hui Hu

After delineating the physical regimes which vortex lattices encounter in rotating Bose-Einstein condensates as the rotation rate, $\Omega$, increases, we derive the normal modes of the vortex lattice in two dimensions at zero temperature.…

Soft Condensed Matter · Physics 2009-11-10 Gordon Baym

Since the first experimental realization of Bose-Einstein condensates in a spin-orbit-coupled Zeeman lattice, a wide range of applications have been found in these systems. Here, we systematically study the ground-state phase diagram of the…

Quantum Gases · Physics 2025-07-01 Huaxin He , Fengtao Pang , Hao Lyu , Yongping Zhang

We investigate the ground-state properties of spin-orbit coupled Bose-Einstein condensates in spin-dependent optical lattices. The competition between the spin-orbit coupling strength and the depth of the optical lattice leads to a rich…

Quantum Gases · Physics 2013-01-11 Wei Han , Suying Zhang , Wu-Ming Liu

The vortex-vortex interaction in two-component Bose-Einstein condensates is shown to present characteristic effects not possible in single-component condensates. In particular, vortices in different components undergo separate, but…

Soft Condensed Matter · Physics 2015-06-24 P. Ohberg , L. Santos

It is commonly known that two-dimensional mean-field models of optical and matter waves with the cubic self-attraction cannot produce stable solitons in free space because of the occurrence of the collapse in the same setting. By means of…

Quantum Gases · Physics 2015-06-19 Hidetsugu Sakaguchi , Ben Li , Boris A. Malomed

We consider a Bose-Einstein condensate confined in a ``Mexican hat'' potential, with a quartic minus quadratic radial dependence. We find conditions under which the ground state is annular in shape, with a hole in the center of the…

Other Condensed Matter · Physics 2009-11-11 M. Cozzini , B. Jackson , S. Stringari