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Using the quantum collapse and revival phenomenon of a Bose--Einstein condensate in three-dimensional optical lattices, the atom number statistics on each lattice site are experimentally investigated. We observe an interaction driven time…

The motion of a dark soliton is investigated in a one-dimensional dilute Bose-Einstein condensate confined in a harmonic trap and an optical lattice. The harmonic trap induces a dynamical instability of the soliton, culminating in sound…

Condensed Matter · Physics 2009-11-10 N. G. Parker , N. P. Proukakis , C. F. Barenghi , C. S. Adams

Bose-Einstein condensates of sodium atoms have been confined in an optical dipole trap using a single focused infrared laser beam. This eliminates the restrictions of magnetic traps for further studies of atom lasers and Bose-Einstein…

We investigate the time evolution of a Bose-Einstein condensate in a periodic optical potential. Using an effective mass formalism, we study the equation of motion for the envelope function modulating the Bloch states of the lattice…

Soft Condensed Matter · Physics 2009-11-07 H. Pu , L. O. Baksmaty , W. Zhang , N. P. Bigelow , P. Meystre

The center of mass dynamics of cold atoms and the Bose-Einstein condensate in one dimensional optical lattice is considered both in the absence and in the presence of external forcing. We discuss three situations for matter waves: first,…

Quantum Gases · Physics 2017-10-26 Muhammad Ayub

We present a detailed numerical study of a protocol for momentum-selective transport of a Bose-Einstein condensate (BEC) in a one-dimensional optical lattice, achieving narrow momentum distributions through controlled non-adiabatic…

Quantum Gases · Physics 2026-03-02 Raja Chamakhi , Dana Codruta Marinica , Naceur Gaaloul , Eric Charron , Mourad Telmini

We study the dynamics of Bose-Einstein condensates in accelerated two-dimensional optical square lattices by numerically solving the Gross-Pitaevskii equation. We consider the regime with negligible mean-field interactions and examine in…

Quantum Gases · Physics 2010-09-07 Wei-Chih Ting , Dian-Jiun Han , Shin-Tza Wu

Even at zero temperature, there exist phase fluctuations associated with an array of Bose-Einstein condensates confined in a one-dimensional optical lattice. We demonstrate a method to measure the phase fluctuations based on the Fourier…

Quantum Gases · Physics 2015-06-11 Bing Wang , Qiang Zhu , Hailong Zhou , Dezhi Xiong , Hongwei Xiong , Baolong Lu

We study the Bloch oscillations (BOs) of two-component Bose-Einstein condensates (BECs) trapped in spin-dependent optical lattices. Based on the derived equations of motion of the wave packet in the basis of localized wave functions of the…

Quantum Gases · Physics 2011-11-11 Huai-Qiang Gu , Jun-Hong An , Kang Jin

We report the experimental observation of discrete bright matter-wave solitons with attractive interaction in an optical lattice. Using an accordion lattice with adjustable spacing, we prepare a Bose-Einstein condensate of cesium atoms…

The stationary bright solitons that appear in the ground state of the spin-orbit coupled Bose-Einstein condensate (SOC-BEC) exhibit nodes. We consider SOC-BEC in combined linear and nonlinear optical lattices and study their effects on the…

Atomic Physics · Physics 2021-10-14 Golam Ali Sekh , Benoy Talukdar

We propose a novel scheme to generate the spin-orbit coupling for a condensate placed inside an optical cavity by using a standing wave and a traveling wave. It is shown that the interplay of the laser lights and the cavity gives rise to…

Quantum Gases · Physics 2014-04-23 Y. Deng , J. Cheng , H. Jing , S. Yi

We report the realization of a periodic array of Bose-Einstein condensates of 87Rb |F = 1; mF = -1> atoms trapped in a one-dimensional magnetic lattice close (8 micrometres) to the surface of an atom chip. A clear signature for the onset of…

We present theoretical as well as experimental results on resonantly enhanced quantum tunneling of Bose-Einstein condensates in optical lattices both in the linear case of single particle dynamics and in the presence of atom-atom…

Quantum Gases · Physics 2011-04-14 Ennio Arimondo , Sandro Wimberger

The scattering length in a BEC confined in an amplitude - modulated optical lattice can be manipulated by the modulation strength. Two standing laser waves of main and sideband frequencies of an optical lattice induce a Raman transition;…

Atomic Physics · Physics 2007-05-23 G. M. Genkin

The dynamics of Bose-Einstein condensates in the lowest energy band of a one-dimensional optical lattice is generally disturbed by the presence of transversally excited resonant states. We propose an effective one-dimensional theory which…

Other Condensed Matter · Physics 2007-05-23 K. -P. Marzlin , V. I. Yukalov

This review describes quantum systems of bosonic particles moving on a lattice. These models are relevant in statistical physics, and have natural ties with probability theory. The general setting is recalled and the main questions about…

Mathematical Physics · Physics 2007-05-23 D. Ueltschi

We study the properties of coupled linear and nonlinear resonances. The fundamental phenomena and the level crossing scenarios are introduced for a nonlinear two-level system with one decaying state, describing the dynamics of a…

Other Condensed Matter · Physics 2008-08-12 D. Witthaut , E. M. Graefe , S. Wimberger , H. J. Korsch

The dynamical behavior of matter wave solitons of two-component Bose-Einstein condensates (BEC) in combined linear and nonlinear optical lattices (OLs) is investigated. In particular, the dependence of the frequency of the oscillating…

Quantum Gases · Physics 2015-06-04 Golam Ali Sekh , Mario Salerno , Aparna Saha , Benoy Talukdar

We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, presents a set of ground states which is orbitally…

Analysis of PDEs · Mathematics 2015-05-28 Rolci Cipolatti , Juan López Gondar , Carlos Trallero-Giner
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