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We study the localization of a noninteracting and weakly interacting Bose-Einstein condensate with spin-orbit coupling loaded in a quasiperiodic bichromatic optical lattice potential using the numerical solution and variational…

Quantum Gases · Physics 2015-06-19 Yongshan Cheng , Gaohui Tang , S. K. Adhikari

In this paper, we present a theoretical study of a Bose-Einstein condensate of interacting bosons in a quartic trap in one, two, and three dimensions. Using Thomas-Fermi approximation, suitably complemented by numerical solutions of the…

Other Condensed Matter · Physics 2015-05-13 G. K. Chaudhary , Amit K Chattopadhyay , R. Ramakumar

Single particle states in the atomic trap employing the rotating magnetic field are found using the full time-dependent instantaneous trapping potential. These states are compared with those of the effective time-averaged potential. We show…

We theoretically study the collective excitations of a spin-orbit-coupled spin-1 Bose-Einstein condensate with antiferromagnetic spin-exchange interactions in a cigar-shaped trapping potential at zero and finite temperatures using the…

Quantum Gases · Physics 2022-08-03 Rajat , Arko Roy , Sandeep Gautam

We consider a gas of N(=6, 10, 15) Bose particles with hard-core repulsion, contained in a quasi-2D harmonic trap and subjected to an overall angular velocity $\Omega$ about the z-axis. Exact diagonalization of the $n\times n$ many-body…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. A. H. Ahsan , N. Kumar

We revisit ground states of spinor Bose-Einstein condensates with a Rashba spin-orbit coupling, and find that votices show up as a direct consequence of spontaneous symmetry breaking into a combined gauge, spin, and space rotation symmetry,…

Quantum Gases · Physics 2013-07-17 Zhi-Fang Xu , Shingo Kobayashi , Masahito Ueda

The low lying excitations of coreless vortex states in F = 1 spinor Bose-Einstein condensates (BECs) are theoretically investigated using the Gross-Pitaevskii and Bogoliubov-de Gennes equations. The spectra of the elementary excitations are…

Other Condensed Matter · Physics 2009-03-09 M. Takahashi , V. Pietila , M. Mottonen , T. Mizushima , K. Machida

A rapidly rotating Bose-Einstein condensate in a symmetric two-dimensional harmonic trap can be described with the lowest Landau-level set of single-particle states. The condensate wave function psi(x,y) is a Gaussian exp(-r^2/2),…

Quantum Gases · Physics 2015-05-14 Alexander L. Fetter

We study the ground-state properties of dipolar spin-1/2 Bose-Einstein condensates with quantum fluctuations and Rashba spin-orbit coupling (SOC). The combined effects of dipole-dipole interaction (DDI), SOC, and Lee-Huang-Yang (LHY)…

Quantum Gases · Physics 2024-05-20 Xianghua Su , Wenting Dai , Tianyu Li , Jiyuan Wang , Linghua Wen

We report new results for the Thomas-Fermi groundstate and the quadrupolar modes of density oscillations of a spin- polarized dipolar interacting Bose-Einstein condensate for the case when the external magnetic field is not orientated…

Quantum Gases · Physics 2010-11-25 I. Sapina , T. Dahm , N. Schopohl

We present an exact diagonalization study of the breathing mode collective excitations for a rotating Bose-Einstein condensate of $N=10$ spinless bosons interacting via repulsive finite-range Gaussian potential and harmonically confined in…

Quantum Gases · Physics 2022-07-01 Mohd. Imran , M. A. H. Ahsan

We report results of systematic analysis of confined steadily rotating patterns in the two-component BEC including the spin-orbit coupling (SOC) of the Rashba type, which acts in the interplay with the attractive or repulsive…

Quantum Gases · Physics 2024-11-07 Hidetsugu Sakaguchi , Boris A. Malomed

We study a harmonically-confined Bose-Einstein condensate under rotation. Vortex lattice configurations are investigated through a variational approach. Vortices with more than a unit of angular momentum are not stable. We explicitly show…

Condensed Matter · Physics 2009-11-07 V. Subrahmanyam

By developing the hydrodynamic theory of spinor superfluids we calculate the moment of inertia of a harmonically trapped Bose-Einstein condensate with spin-orbit coupling. We show that the velocity field associated with the rotation of the…

Quantum Gases · Physics 2017-05-17 Sandro Stringari

We examine a Bose-Einstein condensate of atoms that rotates in a quadratic-plus-quartic potential. It is shown that states of different circulation can be metastable. As a result, we demonstrate that the gas can exhibit hysteresis as the…

Other Condensed Matter · Physics 2009-11-10 A. D. Jackson , G. M. Kavoulakis

Two internal hyperfine states of a Bose-Einstein condensate in a dilute magnetically trapped gas of ${}^{87}$Rb atoms are strongly coupled by an external field that drives Rabi oscillations between the internal states. Due to their…

Condensed Matter · Physics 2009-10-31 J. Williams , R. Walser , J. Cooper , E. A. Cornell , M. Holland

Equilibrium vortex formation in rotating binary Bose gases with a rotating frequency higher than the harmonic trapping frequency is investigated theoretically. We consider the system being evaporatively cooled to form condensates and a…

Quantum Gases · Physics 2015-05-30 C. -H. Hsueh , T. -L. Horng , S. -C. Gou , W. C. Wu

We study the fast rotation limit for a Bose-Einstein condensate in a quadratic plus quartic confining potential within the framework of the two dimensional Gross-Pitaevskii energy functional. As the rotation speed tends to infinity with a…

Mathematical Physics · Physics 2009-12-01 Nicolas Rougerie

We consider the ground state of a mixture of two pseudospin-$\1/2$ Bose gases with interspecies spin exchange in a trapping potential. In the mean field approach, the ground state can be described in terms of four wave functions governed by…

Quantum Gases · Physics 2015-06-15 Jinlong Wang , Yu Shi

Realizing fractional quantum Hall (FQH) states in ultracold atomic systems remains a major goal despite numerous experimental advances in the last few decades. Recent progress in trap anisotropy control under rapid rotation has renewed…

Quantum Gases · Physics 2025-08-22 Umut Tanyeri , Ahmed Kallushi , Rıfat Onur Umucalılar , Ahmet Keleş