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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

We numerically generate, and then study the basic properties of dark soliton-like excitations in a dipolar gas confined in a quasi one dimensional trap. These excitations, although very similar to dark solitons in a gas with contact…

Quantum Gases · Physics 2015-11-16 Krzysztof Pawlowski , Kazimierz Rzazewski

We demonstrate robust, stable, mobile excited states of quasi-two-dimensional (quasi-2D) dipolar Bose-Einstein condensate (BEC) solitons for repulsive contact interaction with a harmonic trap along the $x$ direction perpendicular to the…

Quantum Gases · Physics 2015-06-22 S. K. Adhikari

The effect of dipolar orientation with respect to the soliton plane on the physics of two-dimensional bright solitons in dipolar Bose-Einstein condensates is discussed. Previous studies on such a soliton involved dipoles either…

We study trapped 2D atomic Bose-Einstein condensates with spin-independent interactions in the presence of an isotropic spin-orbit coupling, showing that a rich physics results from the non-trivial interplay between spin-orbit coupling,…

Quantum Gases · Physics 2015-05-30 Subhasis Sinha , Rejish Nath , Luis Santos

Stable vortex solitons (VSs) are objects of great interest for fundamental studies and various applications, including particle trapping, microscopy, data encoding, and matter-wave gyroscopes. However, three-dimensional (3D) VSs with high…

Quantum Gases · Physics 2024-08-26 Yanchao Zhang , Chao Hang , Boris A. Malomed , Guoxiang Huang

Basic models which give rise to one- and two-dimensional (1D and 2D) solitons, such as the Gross-Pitaevskii (GP) equations for Bose-Einstein condensates (BECs), feature the Galilean invariance, which makes it possible to generate families…

Pattern Formation and Solitons · Physics 2022-10-26 Boris A. Malomed

We analyze the dynamical stability of gap solitons formed in a quasi one-dimensional Bose-Einstein condensate in an optical lattice. Using two different numerical methods we show that, under realistic assumptions for experimental…

Soft Condensed Matter · Physics 2009-11-07 Karen Marie Hilligsoe , Markus K. Oberthaler , Karl-Peter Marzlin

We present a comprehensive analysis of the form and interaction of dipolar bright solitons across the full parameter space afforded by dipolar Bose-Einstein condensates, revealing the rich behaviour introduced by the non-local nonlinearity.…

Quantum Gases · Physics 2017-02-13 M. J. Edmonds , T. Bland , R. Doran , N. G. Parker

Solitons are studied in a model of a fiber Bragg grating (BG) whose local reflectivity is subjected to periodic modulation. The superlattice opens an infinite number of new bandgaps in the model's spectrum. Averaging and numerical…

Pattern Formation and Solitons · Physics 2009-11-11 K. Yagasaki , I. M. Merhasin , B. A. Malomed , T. Wagenknecht , A. R. Champneys

We study the spontaneous symmetry breaking of dipolar Bose--Einstein condensates trapped in stacks of two-well systems, which may be effectively built as one-dimensional trapping lattices sliced by a repelling laser sheet. If the potential…

Pattern Formation and Solitons · Physics 2017-08-04 Yongyao Li , Zhiwei Fan , Zhihuan Luo , Yan Liu , Hexiang He , Jiantao Lü , Jianing Xie , Chunqing Huang , Haishu Tan

The effect of dipolar orientation with respect to the condensate plane on the mean-field dynamics of dipolar Bose-Einstein condensates in a pancake-shaped confinement is discussed. The stability of a quasi-two-dimensional condensate, with…

Quantum Gases · Physics 2016-10-13 Chinmayee Mishra , Rejish Nath

We present spatially localized nonrotating and rotating (azimuthon) multisolitons in the two-dimensional (2D) ("pancake-shaped configuration") Bose-Einstein condensate (BEC) with attractive interaction. By means of a linear stability…

Pattern Formation and Solitons · Physics 2009-11-13 Volodymyr M. Lashkin

The recent creation of Townes solitons (TSs) in binary Bose-Einstein condensates and experimental demonstration of spontaneous symmetry breaking (SSB) in solitons propagating in dual-core optical fibers draw renewed interest to the TS and…

Pattern Formation and Solitons · Physics 2023-08-16 Shatrughna Kumar , Pengfei Li , Boris A. Malomed

Solitons, or non-destructible local disturbances, are important features of many one-dimensional (1D) nonlinear wave phenomena, from water waves in narrow canals to light pulses in optical fibers. In ultra-cold gases, they have long been…

Quantum Gases · Physics 2015-03-20 T. Karpiuk , P. Deuar , P. Bienias , E. Witkowska , K. Pawlowski , M. Gajda , K. Rzazewski , M. Brewczyk

We are pointing out relevant anisotropic effects, related to spatial separation, miscibility and mass-symmetry, due to dipole-dipole interactions in rotating binary dipolar Bose-Einstein condensates, by considering symmetric…

Quantum Gases · Physics 2019-04-10 Ramavarmaraja Kishor Kumar , Lauro Tomio , Arnaldo Gammal

Within the framework of the mean-field-hydrodynamic model of a degenerate Fermi gas (DFG), we study, by means of numerical methods and variational approximation (VA), the formation of fundamental gap solitons (FGSs) in a DFG (or in a BCS…

Other Condensed Matter · Physics 2009-11-13 S. K. Adhikari , B. A. Malomed

We develop stability analysis for matter-wave solitons in a two-dimensional (2D) Bose-Einstein condensate loaded in an optical lattice (OL), to which periodic time modulation is applied, in different forms. The stability is studied by dint…

Quantum Gases · Physics 2017-12-08 Nir Dror , Boris A. Malomed

While different ways to realize spin-orbit coupling in Bose-Einstein condensates exist, not all are currently experimentally implementable. Here we present a detailed study of gap solitons in a Bose- Einstein condensate with experimentally…

Quantum Gases · Physics 2015-05-20 Yongping Zhang , Yong Xu , Thomas Busch

We consider one-dimensional solitons in a binary Bose-Einstein condensate with linear coupling between the components, trapped in an optical-lattice potential. The inter-species and intra-species interactions may be both repulsive or…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Boris A. Malomed