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A Bose-Einstein Condensate (BEC) made of alkali-metal atoms at ultra-low temperatures is well described by the three-dimensional cubic nonlinear Schr\"odinger equation, the so-called Gross-Pitaevskii equation (GPE). Here we consider an…

Pattern Formation and Solitons · Physics 2007-05-23 Luca Salasnich

The creation of a Hamiltonian in the quantum regime which has non-trivial topological features is a central goal of the cold-atom community, enabling widespread exploration of novel phases of quantum matter. A general scheme to synthesize…

Quantum Gases · Physics 2022-04-12 Han Fu , Andreas Glatz , F. Setiawan , Kai-Xuan Yao , Zhendong Zhang , Cheng Chin , K. Levin

The possibility of generating stable anisotropic solitons in dipolar Bose-Einstein condensates (BECs) leads to a different scenario not possible in a nondipolar BEC with contact interaction. We study the statics and dynamics of anisotropic…

Quantum Gases · Physics 2022-02-04 Luis E. Young-S. , S. K. Adhikari

It is found that localized solitons in the strongly coupled cigar shaped Bose-Einstein condensate form two distinct classes. The one without a background is an asymptotically vanishing, localized soliton, having a wave-number, which has a…

Other Condensed Matter · Physics 2011-01-20 Utpal Roy , B. Shah , Kumar Abhinav , P. K. Panigrahi

We investigate the ground state (GS) of a collisionless Bose-Einstein condensate (BEC) trapped in a soft one-dimensional optical lattice (OL), which is formed by two counterpropagating optical beams perturbed by the BEC density profile…

Quantum Gases · Physics 2015-06-16 Guangjiong Dong , Jiang Zhu , Weiping Zhang , Boris A. Malomed

With the discovery of various matter wave solitons in spin-orbit-coupled Bose-Einstein condensates (BECs), exploring their properties has become increasingly significant. We mainly study stationary and moving bright solitons in…

Quantum Gases · Physics 2024-09-04 JunTao He , Ji Lin

We show that bright solitons exist in quasi-one dimensional heteronuclear multicomponent Bose-Einstein condensates with repulsive self-interaction and attractive inter-species interaction. They are remarkably robust to perturbations of…

Other Condensed Matter · Physics 2009-11-11 Victor M. Perez-Garcia , Juan Belmonte

Established techniques for deterministically creating dark solitons in repulsively interacting atomic Bose-Einstein condensates (BECs) can only access a narrow range of soliton velocities. Because velocity affects the stability of…

Quantum Gases · Physics 2020-05-28 A. R. Fritsch , Mingwu Lu , G. H. Reid , A. M. Piñeiro , I. B. Spielman

We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic…

Quantum Physics · Physics 2007-05-23 M. Trippenbach , M. Matuszewski , B. A. Malomed

We demonstrate the existence of supersonic bell soliton in the Bardeen-Cooper-Schrieffer-Bose-Einstein condensate (BCS-BEC) crossover regime. Starting from the extended Thomas-Fermi density functional theory of superfluid order parameter, a…

Quantum Gases · Physics 2013-05-13 Ayan Khan , Prasanta K Panigrahi

We demonstrate the formation of bright solitons in coupled defocusing nonlinear Schroedinger (NLS) equation supported by attractive coupling. As an application we use a time-dependent dynamical mean-field model to study the formation of…

Other Condensed Matter · Physics 2009-11-11 Sadhan K. Adhikari

The processes of merging and splitting dilute-gas Bose-Einstein condensates are studied in the nonadiabatic, high-density regime. Rich dynamics are found. Depending on the experimental parameters, uniform soliton trains containing more than…

Other Condensed Matter · Physics 2009-11-13 J. J. Chang , P. Engels , M. A. Hoefer

We present two families of analytical solutions of the one-dimensional nonlinear Schr\"{o}dinger equation which describe the dynamics of bright and dark solitons in Bose-Einstein condensates (BECs) with the time-dependent interatomic…

Other Condensed Matter · Physics 2009-11-13 Biao Li , Xiao-Fei Zhang , Yu-Qi Li , Yong Chen , W. M. Liu

This review paper presents an overview of the theoretical and experimental progress on the study of matter-wave dark solitons in atomic Bose-Einstein condensates. Upon introducing the general framework, we discuss the statics and dynamics…

Quantum Gases · Physics 2015-05-18 D. J. Frantzeskakis

We review and characterize the quantum coherence measures that are most useful for quantum gases, including Bose-Einstein condensates (BEC) and ultra-cold fermions, and outline how to calculate these in the typically dynamical environment…

Other Condensed Matter · Physics 2007-10-16 P. D. Drummond , T. Vaughan , J. F. Corney , G. Leuchs , P. Deuar

Generation, interaction and detection of dark solitons in Bose-Einstein condensates is considered. In particular, we focus on the dynamics resulting from phase imprinting and density engineering. The generation of soliton pairs as well as…

Soft Condensed Matter · Physics 2009-11-07 S. Burger , L. D. Carr , P. Ohberg , K. Sengstock , A. Sanpera

We report on Bose-Einstein condensation (BEC) in a gas of strontium atoms, using laser cooling as the only cooling mechanism. The condensate is formed within a sample that is continuously Doppler cooled to below 1\muK on a narrow-linewidth…

Quantum Gases · Physics 2013-09-24 Simon Stellmer , Benjamin Pasquiou , Rudolf Grimm , Florian Schreck

The onset of pattern formation in a spatially homogeneous system subjected to external driving is an important topic in various scientific fields. A celebrated classical example is the Faraday instability, where a vertically oscillated…

Due to their coherence properties, dilute atomic gas Bose-Einstein condensates seem a versatile platform for controlled creation of mesoscopically entangled states with a large number of particles and also allow controlled studies of their…

Quantum Gases · Physics 2020-12-30 Abhijit Pendse , Shruti Shirol , Shivakant Tiwari , Sebastian Wüster

Using a semi-classical model to describe the interaction between coherent electromagnetic radiation and a Bose-Einstein condensate in the limit of zero temperature, including the back action of the atoms on the radiation, we have analyzed…

Pattern Formation and Solitons · Physics 2013-05-29 Arkady Kim , Federica Cattani , Dan Anderson , Mietek Lisak