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We consider a system of two Gross-Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose-Einstein condensate (BEC) composed of two different…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis , B. A. Malomed

We study the dynamics of two interacting Bose-Einstein condensates, by numerically solving two coupled Gross-Pitaevskii equations at zero temperature. We consider the case of a sudden transfer of atoms between two trapped states with…

Condensed Matter · Physics 2009-10-31 M. Modugno , F. Dalfovo , C. Fort , P. Maddaloni , F. Minardi

We investigate dynamic properties of bouncing and penetration in colliding binary and ternary Bose-Einstein condensates comprised of different Zeeman or hyperfine states of 87Rb. Through the application of magnetic field gradient pulses,…

We numerically study the optimal control of an atomic Bose-Einstein condensate in an optical lattice. We present two generalizations of the gradient-based algorithm, GRAPE, in the non-linear case and for a two-dimensional lattice. We show…

Quantum Physics · Physics 2025-02-13 E. Dionis , B. Peaudecerf , S. Guérin , D. Guéry-Odelin , D. Sugny

We study the transport of atoms across a localized Bose-Einstein condensate in a one-dimensional optical lattice. For atoms scattering off the condensate we predict total reflection as well as full transmission for certain parameter values…

Pattern Formation and Solitons · Physics 2007-05-23 Rodrigo A. Vicencio , Joachim Brand , Sergej Flach

We study the dynamics of Bose-Einstein condensates in an optical lattice and harmonic trap. The condensates are set in motion by displacing the trap and initially follow simple semiclassical paths, shaped by the lowest energy band. Above a…

Condensed Matter · Physics 2009-11-07 R. G. Scott , A. M. Martin , T. M. Fromhold , S. Bujkiewicz , F. W. Sheard , M. Leadbeater

We demonstrate that there exist stationary states of Bose-Einstein condensates in an optical lattice that do not satisfy the usual Bloch periodicity condition. Using the discrete model appropriate to the tight-binding limit we determine…

Soft Condensed Matter · Physics 2009-11-10 M. Machholm , A. Nicolin , C. J. Pethick , H. Smith

We use a coherent Bragg diffraction method to impart an external momentum to ultracold bosonic atoms trapped in a one-dimensional optical lattice. This method is based on the application of a single light pulse, with conditions where…

Quantum Gases · Physics 2015-05-27 Xinxing Liu , Xiaoji Zhou , Wei Zhang , Thibault Vogt , Bo Lu , Xuguang Yue , Xuzong Chen

We consider the evolution of a dilute Bose-Einstein condensate in an optical trap formed by a doughnut laser mode. By solving a one dimensional Gross-Pitaevskii equation and looking at the variance and the statistical entropy associated…

Soft Condensed Matter · Physics 2009-10-31 Pierre Villain , Patrik Ohberg , Maciej Lewenstein

We demonstrate theoretically the use of genetic learning algorithms to coherently control the dynamics of a Bose-Einstein condensate. We consider specifically the situation of a condensate in an optical lattice formed by two…

Soft Condensed Matter · Physics 2009-11-07 S. Potting , M. Cramer , P. Meystre

We demonstrate, through numerical simulations, the emission of a coherent continuous matter wave of constant amplitude from a Bose-Einstein Condensate in a shallow optical dipole trap. The process is achieved by spatial control of the…

Quantum Gases · Physics 2015-05-18 A. V. Carpentier , H. Michinel , D. N. Olivieri , D. Novoa

We analyze spatio-temporal structures in the Gross-Pitaevskii equation to study the dynamics of quasi-one-dimensional Bose-Einstein condensates (BECs) with mean-field interactions. A coherent structure ansatz yields a parametrically forced…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , Predrag Cvitanovic

The self-trapping phenomenon of Bose-Einstein condensates (BECs) in optical lattices is studied extensively by numerically solving the Gross-Pitaevskii equation. Our numerical results not only reproduce the phenomenon that was observed in a…

Other Condensed Matter · Physics 2007-05-23 Bingbing Wang , Panming Fu , Jie Liu , Biao Wu

The atom-cavity system is a versatile platform for emulating light-matter systems and realizing dissipation-induced phases, such as limit cycles (LCs) and time crystals. Here, we study the dynamics of a Bose-Einstein condensate (BEC) inside…

Quantum Gases · Physics 2025-11-18 Christopher Gerard R. Sevilla , Jayson G. Cosme

We derive and study the Bloch and Bogoliubov spectrum of a Bose-Einstein condensate (BEC) confined in a one-dimensional optical superlattice (created by interference between a primary optical lattice and a secondary optical lattice of small…

Statistical Mechanics · Physics 2009-11-11 Aranya B Bhattacherjee

We study quantum squeezing and entanglement of gap solitons in a Bose-Einstein condensate loaded into a one-dimensional optical lattice. By employing a linearized quantum theory we find that quantum noise squeezing of gap solitons, produced…

Quantum Physics · Physics 2013-05-29 Ray-Kuang Lee , Elena A. Ostrovskaya , Yuri S. Kivshar , Yinchieh Lai

We report on experiments investigating quantum transport and band interferometry of an atomic Bose-Einstein condensate in an optical lattice with a two-band miniband structure, realized with a Fourier-synthesized optical lattice potential.…

Quantum Gases · Physics 2010-11-23 Sebastian Kling , Tobias Salger , Christopher Grossert , Martin Weitz

We discuss coherent atomic oscillations between two weakly coupled Bose-Einstein condensates that are energetically different. The weak link is notionally provided by a laser barrier in a (possibly asymmetric) multi-well trap or by Raman…

Quantum Gases · Physics 2022-05-25 John D. Andersen , Srikanth Raghavan , V. M. Kenkre

We investigate the properties of Bose-Einstein condensates (BECs) in a two-dimensional quasi-periodic optical lattice (OL) with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation. In a stationary external…

Quantum Gases · Physics 2020-09-07 Zhen-Xia Niu , Yonghang Tai , Junsheng Shi , Wei Zhang

We prepare a Bose-Einstein condensed gas in a three-dimensional optical lattice and study the excitation spectrum of the superfluid phase for different interaction strengths. We probe the response of the system by modulating the depth of…

Superconductivity · Physics 2009-11-10 Christian Schori , Thilo Stöferle , Henning Moritz , Michael Köhl , Tilman Esslinger