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Recent experimental advancements enabled the creation of various systems exhibiting superfluid behavior, with one notable achievement being the development of dipolar Bose-Einstein condensates (dBECs). When confined along one or more…

Quantum Gases · Physics 2025-07-17 Alberto Villois , Miguel Onorato , Davide Proment

Bose-Einstein condensates of 10$^4$ $^{85}$Rb atoms in a cylindrical trap are studied using a recently proposed modified Gross-Pitaevskii equation. The existence of a Feshbach resonance allows for widely tuning the scattering length of the…

Soft Condensed Matter · Physics 2009-11-07 A. Fabrocini , A. Polls

It is demonstrated that a two-component Bose-Einstein condensate (BEC) with all-repulsive inter-atomic interactions loaded into a radially symmetric harmonic trap supports robust non-coaxial vortices with approximately orthogonal vortex…

Pattern Formation and Solitons · Physics 2015-05-18 R. Driben , V. V. Konotop , T. Meier

A gravitational-wave (GW) detector that utilizes the phononic excitations of a Bose-Einstein condensate (BEC) has recently been proposed [NJP 16, 085003 (2014)]. A subsequent and independent study, [arXiv:1807.07046v1], has suggested an…

Quantum Physics · Physics 2018-11-28 Richard Howl , Dennis Rätzel , Ivette Fuentes

The dynamics of matter waves in the atomic to molecular condensate transition with a time-modulated atomic scattering length is investigated. Both the cases of rapid and slow modulations are studied. In the case of rapid modulations, the…

Quantum Gases · Physics 2021-08-27 F Kh Abdullaev , M Ogren , J S Yuldashev

We consider, by means of the variational approximation (VA) and direct numerical simulations of the Gross-Pitaevskii (GP) equation, the dynamics of 2D and 3D condensates with a scattering length containing constant and harmonically varying…

Condensed Matter · Physics 2009-11-07 F. Kh. Abdullaev , J. G. Caputo , R. A. Kraenkel , B. A. Malomed

A generalised method of using feedback to control Bose-Einstein condensates is introduced. The condensates are modelled by the Gross-Pitaevskii equation, so only semiclassical fluctations can be suppressed, and back-action from the…

Condensed Matter · Physics 2009-11-10 S. A. Haine , A. J. Ferris , J. D. Close , J. J. Hope

We study the existence and properties of rogue wave solutions in different nonlinear wave evolution models that are commonly used in optics and hydrodynamics. In particular, we consider Fokas-Lenells equation, the defocusing vector nolinear…

Exactly Solvable and Integrable Systems · Physics 2015-06-23 Fabio Baronio , Shihua Chen , Philippe Grelu , Stefan Wabnitz , Matteo Conforti

Trapped Bose atoms cooled down to temperatures below the Bose-Einstein condensation temperature are considered. Stationary solutions to the Gross-Pitaevskii equation (GPE) define the topological coherent modes, representing nonground-state…

Soft Condensed Matter · Physics 2009-11-10 V. I. Yukalov , K. -P. Marzlin , E. P. Yukalova

A kinetic approach to the Bose-Einstein condensates (BECs) is proposed, based on the Wigner-Moyal equation (WME). In the quasi-classical limit, the WME reduces to the particle number conservation equation. Two examples of application are:…

Pattern Formation and Solitons · Physics 2009-11-11 J. T. Mendonca , R. Bingham , P. K. Shukla

When a Bose-Einstein condensate (BEC) is driven out of equilibrium, density waves interact non-linearly and trigger turbulent cascades. In a turbulent BEC, energy is transferred towards small scales by a direct cascade, whereas the number…

Quantum Gases · Physics 2023-04-05 Ying Zhu , Boris Semisalov , Giorgio Krstulovic , Sergey Nazarenko

We study theoretically the superfluidity and stability of a Bose-Einstein condensate (BEC) whose interatomic scattering length is periodically modulated with optical Feshbach resonance. Our numerical study finds that the properties of this…

Quantum Gases · Physics 2013-02-08 Shao-Liang Zhang , Zheng-Wei Zhou , Biao Wu

In this paper, based on an integrable model governed by four system parameters, namely, spin-orbit coupling and Rabi coupling which are constants while the other two parameters, namely the harmonic trap and scattering lengths which are time…

Pattern Formation and Solitons · Physics 2025-01-03 P. S. Vinayagam , R. Radha

We suggest a pseudospectral method for solving the three-dimensional time-dependent Gross-Pitaevskii (GP) equation and use it to study the resonance dynamics of a trapped Bose-Einstein condensate induced by a periodic variation in the…

Soft Condensed Matter · Physics 2025-10-20 Paulsamy Muruganandam , Sadhan K Adhikari

We present a simple experiment of creating an effective vector gauge potential for Bose-Einstein condensed $^{87}$Rb in the F=2 hyperfine ground state using two crossed 1064 $nm$ optical dipole trap lasers as the Raman beams. Due to the…

Quantum Gases · Physics 2015-05-28 Zhengkun Fu , Pengjun Wang , Shijie Chai , Lianghui Huang , Jing Zhang

In this paper, we propose an efficient and spectrally accurate numerical method for computing the dynamics of rotating Bose-Einstein condensates (BEC) in two dimensions (2D) and 3D based on the Gross-Pitaevskii equation (GPE) with an…

Other Condensed Matter · Physics 2009-11-11 Weizhu Bao , Hanquan Wang

We study modulational instability of matter-waves in Bose-Einstein condensates (BEC) under strong temporal nonlinearity-management. Both BEC in an optical lattice and homogeneous BEC are considered in the framework of the Gross-Pitaevskii…

Other Condensed Matter · Physics 2008-12-15 F. Kh. Abdullaev , A. A. Abdumalikov , R. M. Galimzyanov

We investigate a non-axisymmetric rotating BEC in a limit of rotation frequency for which the BEC transforms into a quasi-one-dimensional system. We compute the vortex lattice wavefunction by minimizing the Gross-Pitaevskii energy…

Statistical Mechanics · Physics 2009-11-11 P. Sanchez-Lotero , J. J. Palacios

Motivated by recent experiments on Faraday waves in Bose-Einstein condensates we investigate both analytically and numerically the dynamics of cigar-shaped Bose-condensed gases subject to periodic modulation of the strength of the…

Other Condensed Matter · Physics 2010-12-10 Alexandru I. Nicolin , R. Carretero-Gonzalez , P. G. Kevrekidis

We study the long-time decay of rotating turbulence in Bose-Einstein condensates (BECs). We consider the Gross-Pitaevskii equation in a rotating frame of reference, and review different formulations for the Hamiltonian of a rotating BEC. We…

Quantum Gases · Physics 2024-05-17 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni