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We demonstrate a possibility to generate localized states in effectively one-dimensional Bose-Einstein condensates with a negative scattering length in the form of a dark soliton in the presence of an optical lattice (OL) and/or a parabolic…

Soft Condensed Matter · Physics 2009-11-10 P. G. Kevrekidis , D. J. Frantzeskakis , Boris A. Malomed , A. R. Bishop , I. G. Kevrekidis

Dark soliton states of Bose-Einstein condensates in harmonic traps are studied both analytically and computationally by the direct solution of the Gross-Pitaevskii equation in three dimensions. The ground and self-consistent excited states…

Statistical Mechanics · Physics 2016-08-31 D. L. Feder , M. S. Pindzola , L. A. Collins , B. I. Schneider , C. W. Clark

We demonstrate that matter-wave bright solitons can be stabilized in 2D free space by causing the strength of interactions to oscillate rapidly between repulsive and attractive by using, e.g., Feshbach resonance.

Condensed Matter · Physics 2009-11-07 Hiroki Saito , Masahito Ueda

We study experimentally and theoretically the dynamics of apparent dark soliton stripes in an elongated Bose-Einstein condensate. We show that for the trapping strengths corresponding to our experimental setup, the transverse confinement…

Quantum Gases · Physics 2014-12-03 C. Becker , K. Sengstock , P. Schmelcher , P. G. Kevrekidis , R. Carretero-Gonzalez

By means of variational methods and systematic numerical analysis, we demonstrate the existence of stable solitons in three-dimensional (3D) free space, in the context of binary atomic condensates combining contact self-attraction and…

Quantum Gases · Physics 2015-12-23 Yong-Chang Zhang , Zheng-Wei Zhou , Boris A. Malomed , Han Pu

We provide analytical three-dimensional bright multi-soliton solutions to the (3+1)-dimensional Gross-Pitaevskii (GP) equation with time and space-dependent potential, time-dependent nonlinearity, and gain/loss. The zigzag propagation trace…

Exactly Solvable and Integrable Systems · Physics 2015-05-20 Zhenya Yan , Chao Hang

The partially attractive character of the dipole-dipole interaction leads to phonon instability in dipolar condensates, which is followed by collapse in three-dimensional geometries. We show that the nature of this instability is…

Other Condensed Matter · Physics 2013-05-29 R. Nath , P. Pedri , L. Santos

Quasi-one-dimensional solitons that may occur in an elongated Bose-Einstein condensate become unstable at high particle density. We study two basic modes of instability and the corresponding bifurcations to genuinely three-dimensional…

Condensed Matter · Physics 2007-05-23 S. Komineas , N. Papanicolaou

The evolution of atomic solitary waves in Bose-Einstein condensate (BEC) under adiabatic changes of the atomic scattering length is investigated. The variations of amplitude, width, and velocity of soliton are found for both spatial and…

Condensed Matter · Physics 2009-11-10 F. Kh. Abdullaev , Mario Salerno

We show how novel types of long-lived self-localized matter waves can be constructed with Bose-Einstein condensates. The ingredients leading to such structures are a spatial phase generating a flux of atoms towards the condensate center and…

Pattern Formation and Solitons · Physics 2009-11-11 Adrian Alexandrescu , Victor M. Perez-Garcia

A self consistent theory of a cigar shaped Bose-Einstein condensate (BEC) periodically modulated by a laser beam is presented. We show, both theoretically and numerically, that modulational instability/stability is the mechanism by which…

Soft Condensed Matter · Physics 2009-11-07 V. V. Konotop , M. Salerno

We demonstrate stable, robust, bright dipolar Bose-Einstein condensate (BEC) solitons, moving in a direction perpendicular to the polarization direction, formed due to dipolar interaction for repulsive contact interaction. At medium…

Quantum Gases · Physics 2015-06-23 S. K. Adhikari

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

In this work, we introduce a method for stabilizing spatiotemporal solitons. These solitons correspond to light bullets in multimode optical fiber lasers, energy-scalable waveguide oscillators and amplifiers, localized coherent patterns in…

Optics · Physics 2022-08-12 Vladimir L. Kalashnikov , Stefan Wabnitz

We study a gas of bosonic dipolar atoms in the presence of a transverse harmonic trapping potential by using an improved variational Bethe ansatz, which includes the transverse width of the atomic cloud as a variational parameter. Our…

Quantum Gases · Physics 2023-03-07 Stefania De Palo , Edmond Orignac , Roberta Citro , Luca Salasnich

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

We investigate the dynamics of a Bose condensate, interacting with either repulsive or attractive forces, confined in a fully anisotropic harmonic potential. The (3+1)-dimensional Gross-Pitaevskii equation is integrated numerically to…

Condensed Matter · Physics 2009-10-31 E. Cerboneschi , R. Mannella , E. Arimondo , L. Salasnich

In this work we present a systematic study of the three-dimensional extension of the ring dark soliton examining its existence, stability, and dynamics in isotropic harmonically trapped Bose-Einstein condensates. Detuning the chemical…

Quantum Gases · Physics 2019-12-04 Wenlong Wang , P. G. Kevrekidis , Egor Babaev

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

Nonlinear oscillations of a 3D radial symmetric Bose-Einstein condensate under periodic variation in time of the atomic scattering length have been studied analytically and numerically. The time-dependent variational approach is used for…

Other Condensed Matter · Physics 2009-11-10 Fatkhulla Kh. Abdullaev , Ravil M. Galimzyanov , Marijana Brtka , Roberto A. Kraenkel