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We discuss a computational mechanism for the generation of a stationary dark soliton, or black soliton, in a trapped Bose-Einstein condensate using the Gross-Pitaevskii (GP) equation for both attractive and repulsive interaction. It is…

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

Collisional dynamics of solitary matter waves of superfluid hard core bosons, consisting of dark and bright non-linear waves as well as supersonic periodic trains, reveals remarkable richness and coherence, with the phase of the condensate…

Quantum Physics · Physics 2011-02-22 William P. Reinhardt , Indubala I. Satija , Bryce Robbins , Charles W. Clark

Here we study properties of a homogeneous dipolar Bose-Einstein condensate in a weak anisotropic random potential with Lorentzian correlation at zero temperature. To this end we solve perturbatively the Gross-Pitaevskii equation to second…

Quantum Gases · Physics 2013-07-17 Branko Nikolic , Antun Balaz , Axel Pelster

We calculate the hydrodynamic solutions for a dilute Bose-Einstein condensate with long-range dipolar interactions in a rotating, elliptical harmonic trap, and analyse their dynamical stability. The static solutions and their regimes of…

Other Condensed Matter · Physics 2015-06-25 R. M. W. van Bijnen , D. H. J. O'Dell , N. G. Parker , A. M. Martin

The excitations of a two-dimensional (2D) Bose-Einstein condensate in the presence of a soliton are studied by solving the Kadomtsev-Petviashvili equation which is valid when the velocity of the soliton approaches the speed of sound. The…

Superconductivity · Physics 2009-11-13 Shunji Tsuchiya , Franco Dalfovo , Lev P. Pitaevskii

Solitons are nonlinear solitary waves which maintain their shape over time and through collisions, occurring in a variety of nonlinear media from plasmas to optics. We present an experimental and theoretical study of hydrodynamic phenomena…

We theoretically analyze quasi-one-dimensional Bose-Einstein condensates under the influence of a harmonic trap and a narrow potential defect that moves through the atomic cloud. Performing simulations on the mean field level, we explore a…

Quantum Gases · Physics 2015-08-06 I. Hans , J. Stockhofe , P. Schmelcher

We find two types of moving dark soliton textures in elongated Bose-Einstein condensates: non-stationary kinks and proper dark solitons. The former have a curved notch region and rapidly decay by emitting phonons and/or proper dark…

Statistical Mechanics · Physics 2009-11-07 A. E. Muryshev , G. V. Shlyapnikov , W. Ertmer , K. Sengstock , M. Lewenstein

We present a family of exact solutions of one-dimensional nonlinear Schr\"odinger equation, which describe the dynamics of a bright soliton in Bose-Einstein condensates with the time-dependent interatomic interaction in an expulsive…

Other Condensed Matter · Physics 2009-11-11 Z. X. Liang , Z. D. Zhang , W. M. Liu

Starting with a Gaussian variational ansatz, we predict anisotropic bright solitons in quasi-2D Bose-Einstein condensates consisting of atoms with dipole moments polarized \emph{perpendicular} to the confinement direction. Unlike isotropic…

Other Condensed Matter · Physics 2009-11-13 I. Tikhonenkov , B. A. Malomed , A. Vardi

The dynamical instability of weakly interacting two-component Bose--Einstein condensates with coaxial quantized vortices is analytically investigated in a two-dimensional isotopic harmonic potential. We examine whether complex eigenvalues…

Quantum Gases · Physics 2016-05-04 M. Hoashi , Y. Nakamura , Y. Yamanaka

We show that the energetic instability of dark solitons is associated with particle-like motion, and present a simple equation of motion, based on the M\"ossbauer effect, for dark solitons propagating in inhomogeneous Thomas-Fermi clouds.…

Condensed Matter · Physics 2007-05-23 Th. Busch , J. R. Anglin

It is a common view that rotational motion in a superfluid can exist only in the presence of quantized vortices. However, in our numerical studies on the merging of two concentric Bose-Einstein condensates with axial symmetry in…

Quantum Gases · Physics 2018-01-24 Toshiaki Kanai , Wei Guo , Makoto Tsubota

Bloch oscillations of Bose-Einstein condensates realize sensitive matter-wave interferometers. We investigate the dynamics and stability of bright-soliton wave packets in one-dimensional tilted optical lattices with a modulated mean-field…

Quantum Gases · Physics 2010-06-03 E. Diaz , C. Gaul , R. P. A. Lima , F. Dominguez-Adame , C. A. Mueller

We consider the propagation of a dark soliton in a quasi 1D Bose-Einstein condensate in presence of a random potential. This configuration involves nonlinear effects and disorder, and we argue that, contrarily to the study of stationary…

Other Condensed Matter · Physics 2009-11-11 N. Bilas , N. Pavloff

We study the dynamics of non-autonomous bright-dark matter-wave solitons in two- and three- component Bose-Einstein condensates. Our setting includes a time-dependent parabolic potential and scattering length, as well as Rabi coupling of…

Pattern Formation and Solitons · Physics 2013-11-27 T. Kanna , R. Babu Mareeswaran , F. Tsitoura , H. E. Nistazakis , D. J. Frantzeskakis

We experimentally investigate the dynamics of spin solitary waves (magnetic solitons) in a harmonically trapped, binary superfluid mixture. We measure the in-situ density of each pseudospin component and their relative local phase via an…

Quantum Gases · Physics 2020-07-17 A. Farolfi , D. Trypogeorgos , C. Mordini , G. Lamporesi , G. Ferrari

By improving the Bose-Einstein condensate model of dark matter through the repulsive three-particle interaction to better reproduce observables such as rotation curves, both different thermodynamic phases and few-particle correlations are…

Astrophysics of Galaxies · Physics 2022-11-22 A. M. Gavrilik , A. V. Nazarenko

Dynamics and stability of solitons in two-dimensional (2D) Bose-Einstein condensates (BEC), with low-dimensional (1D) conservative plus dissipative nonlinear optical lattices are investigated. In the case of focusing media (with attractive…

Other Condensed Matter · Physics 2009-11-13 F. Kh. Abdullaev , A. Gammal , H. L. F. da Luz , Lauro Tomio

Dipolar interactions support the formation of inter-site soliton molecules in a stack of quasi-1D traps. We show that the stability and properties of individual solitons, and soliton molecules in such a geometry crucially depend on the…

Quantum Gases · Physics 2012-07-10 Kazimierz Łakomy , Rejish Nath , Luis Santos
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