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This paper presents a mean-field numerical analysis, using the full three-dimensional time-dependent Gross-Pitaevskii equation (GPE), of an experiment carried out by Orzel et al. [Science 291, 2386 (2001)] intended to show number squeezing…

Other Condensed Matter · Physics 2016-08-31 S. B. McKagan , D. L. Feder , W. P. Reinhardt

We present our experimental investigations on the subject of dynamical nonlinearity-induced instabilities and of nonlinear Landau-Zener tunneling between two energy bands in a Rubidium Bose-Einstein condensate in an accelerated periodic…

Other Condensed Matter · Physics 2007-09-26 M. Jona-Lasinio , O. Morsch , M. Cristiani , E. Arimondo , C. Menotti

A theoretical scheme for an experimental implementation involving bisolitonic matter waves from an attractive Bose-Einstein condensate, is considered within the framework of a non-perturbative approach to the associate Gross-Pitaevskii…

Pattern Formation and Solitons · Physics 2011-02-22 Alain Moise Dikande , Isaiah Ndifon Ngek , Joseph Ebobenow

We report the experimental observation of St\"{u}ckelberg oscillations of matter waves in optical lattices. Extending previous work on Landau-Zener tunneling of Bose-Einstein condensates in optical lattices, we study the effects of the…

Quantum Gases · Physics 2015-05-20 A. Zenesini , D. Ciampini , O. Morsch , E. Arimondo

We present numerical studies of atomic transport in 3D and 1D models for a mode-locked, pulsed atom laser as realized by Anderson and Kasevich [Science 281 (1998) 1686] using an elongated Bose condensate of ${}^{87}$Rb atoms poured into a…

Statistical Mechanics · Physics 2009-10-31 M. L. Chiofalo , M. P. Tosi

We develop a simple yet powerful technique to study Bogoliubov-Cherenkov radiation by producing a pulsed atom laser from a strongly confined Bose-Einstein condensate. Such radiation results when the atom laser pulse falls past a…

We give an overview on current experiments on Bose-Einstein condensation (BEC) in a one-dimensional (1D) optical lattice. We introduce measurements of ground state, tunnelling and dynamical properties as well as investigations of atom…

Condensed Matter · Physics 2015-09-11 S. Burger , F. S. Cataliotti , F. Ferlaino , C. Fort , P. Maddaloni , F. Minardi , M. Inguscio

We numerically study the dynamics of vortex lattice formation in a rotating cigar-shaped Bose-Einstein condensate. The study is a three-dimensional simulation of the Gross-Pitaevskii equation with a phenomenological dissipation term. The…

Other Condensed Matter · Physics 2009-11-11 Kenichi Kasamatsu , Masahiko Machida , Narimasa Sasa , Makoto Tsubota

In this work, we analyze the free expansion of Bose-Einstein condensates containing multicharged vortices. The atomic cloud is initially confined in a three-dimensional asymmetric harmonic trap. We apply both approximate variational…

Quantum Gases · Physics 2017-10-05 Rafael Poliseli Teles , F. E. A. dos Santos , M. A. Caracanhas , V. S. Bagnato

Optical lattices have proven to be powerful systems for quantum simulations of solid state physics effects. Here we report a proof-of-principle experiment simulating effects predicted by relativistic wave equations with ultracold atoms in a…

Quantum Physics · Physics 2013-08-14 Tobias Salger , Sebastian Kling , Christopher Grossert , Martin Weitz

We study the process of squeezing of an ensemble of cold atoms in a pulsed optical lattice. The problem is treated both classically and quantum-mechanically under various thermal conditions. We show that a dramatic compression of the atomic…

Quantum Physics · Physics 2009-11-07 M. Leibscher , I. Sh. Averbukh

We have observed tunneling suppression and photon-assisted tunneling of Bose-Einstein condensates in an optical lattice subjected to a constant force plus a sinusoidal shaking. For a sufficiently large constant force, the ground energy…

Soft Condensed Matter · Physics 2009-11-13 C. Sias , H. Lignier , Y. P. Singh , A. Zenesini , D. Ciampini , O. Morsch , E. Arimondo

Based on the modified Gross-Pitaevskii equation for atoms with intrinsic dipole moments which accounts for the relaxation of a condensate, the dipole-dipole interaction and the interaction of atoms with the electromagnetic field, the…

Quantum Gases · Physics 2020-01-08 Yu. M. Poluektov , A. A. Soroka

The theory of Bose-Einstein condensation in a two-dimensional(2D) harmonic trap is developed from 2D Gross-Pitaevskii equation. The 2D interaction strength is obtained from a 2D collision theory. We show the realization of 2D condensation…

Statistical Mechanics · Physics 2016-08-31 Sang-Hoon Kim , Changyeon Won , Sung Dahm Oh , Wonho Jhe

In this work, we examine a system for coherent transfer of atoms into a Bose-Einstein condensate. We utilize two spatially separate Bose-Einstein condensates in different hyperfine ground states held in the same dc magnetic trap. By means…

Atomic Physics · Physics 2009-06-29 D. Döring , G. R. Dennis , N. P. Robins , M. Jeppesen , C. Figl , J. J. Hope , J. D. Close

By numerical solution and variational approximation of the Gross-Pitaevskii equation, we studied the localization of a noninteracting and weakly-interacting Bose-Einstein condensate in a weakly perturbed optical lattice in one and three…

Quantum Gases · Physics 2015-06-03 Yongshan Cheng , S. K. Adhikari

We show that the phase of a Bose-Einstein condensate wave-function of ultra-cold atoms in an optical lattice potential in two-dimensions can be detected. The time-of-flight images, obtained in a free expansion of initially trapped atoms,…

Quantum Gases · Physics 2014-01-30 Arkadiusz Kosior , Krzysztof Sacha

In this work, we study pancake-shaped Bose-Einstein condensates confined by both a cylindrically symmetric harmonic potential and an optical lattice with equal periodicity in two orthogonal directions. We first identify the spectrum of the…

Pattern Formation and Solitons · Physics 2012-05-30 K. J. H. Law , P. G. Kevrekidis , B. P. Anderson , R. Carretero-Gonzalez , D. J. Frantzeskakis

We investigate the properties of a coherent array containing about 200 Bose-Einstein condensates produced in a far detuned 1D optical lattice. The density profile of the gas, imaged after releasing the trap, provides information about the…

Soft Condensed Matter · Physics 2011-02-23 P. Pedri , L. Pitaevskii , S. Stringari , C. Fort , S. Burger , F. S. Cataliotti , P. Maddaloni , F. Minardi , M. Inguscio

We propose a method to obtain a regular arrangement of two-level atoms in a three-dimensional optical lattice with unit filling, where all the atoms share internal state coherence and metrologically useful quantum correlations. Such a…

Quantum Physics · Physics 2019-04-25 Dariusz Kajtoch , Emilia Witkowska , Alice Sinatra