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This article presents an overview of experimental efforts in recent years related to multidimensional solitons in Bose-Einstein condensates. We discuss the techniques used to generate and observe multidimensional nonlinear waves in…

Other Condensed Matter · Physics 2010-06-01 Joachim Brand , L. D. Carr , B. P. Anderson

We study the statics and dynamics of anisotropic, stable, bright and dark-in-bright dipolar quasi-two-dimensional Bose-Einstein condensate (BEC) solitons on a one-dimensional (1D) optical-lattice (OL) potential. These solitons mobile in a…

Quantum Gases · Physics 2019-08-22 S K Adhikari

We investigate an attractive Bose-Einstein condensate in two coupled one dimensional channels. In this system a stable double channel soliton can be formed. It is symmetric for small interaction parameters and asymmetric for large ones. We…

Quantum Gases · Physics 2013-07-09 Nguyen Viet Hung , Pawel Zin , Eryk Infeld

We study the interaction of dark-bright solitons in two component Bose-Einstein condensates by suitably tailoring the trap potential, atomic scattering length and atom gain or loss. We show that the coupled Gross-Pitaevskii (GP) equation…

Other Condensed Matter · Physics 2009-06-25 S. Rajendran , P. Muruganandam , M. Lakshmanan

We investigate collisions of solitons of the gap type, supported by a lattice potential in repulsive Bose-Einstein condensates, with an effective double-barrier potential that resembles a Fabry-Perot cavity. We identify conditions under…

Other Condensed Matter · Physics 2009-11-13 V. Ahufinger , B. A. Malomed , G. Birkl , R. Corbalan , A. Sanpera

By solving the three-dimensional Gross-Pitaevskii equation we generate two-dimensional axially-symmetric and anisotropic dipolar Bose-Einstein condensate bright solitons, for repulsive atomic interaction, stabilized by only a weak…

Quantum Gases · Physics 2015-06-03 S. K. Adhikari , P. Muruganandam

Properties of localized states on array of BEC confined to a potential, representing superposition of linear and nonlinear optical lattices are investigated. For a shallow lattice case the coupled mode system has been derived. The…

Other Condensed Matter · Physics 2009-11-11 Fatkhulla Abdullaev , Abdulaziz Abdumalikov , Ravil Galimzyanov

We examine the effect of the intra- and interspecies scattering lengths on the dynamics of a two-component Bose-Einstein condensate, particularly focusing on the existence and stability of solitonic excitations. For each type of possible…

Quantum Gases · Physics 2012-03-13 Gábor Csire. Dániel Schumayer , Barnabás Apagyi

We analyze the formation and dynamics of bright unstaggered solitons in the disk-shaped dipolar Bose-Einstein condensate, which features the interplay of contact (collisional) and long-range dipole-dipole (DD) interactions between atoms.…

Pattern Formation and Solitons · Physics 2015-05-14 Goran Gligorić , Aleksandra Maluckov , Milutin Stepić , Ljupčo Hadžievski , Boris A. Malomed

We construct families of incoherent matter-wave solitons in a repulsive degenerate Bose gas trapped in an optical lattice (OL), i.e., gap solitons, and investigate their stability at zero and finite temperature, using the…

Other Condensed Matter · Physics 2009-11-11 I. M. Merhasin , Boris A. Malomed , Y. B. Band

We derive a system of nonpolynomial Schroedinger equations (NPSEs) for one-dimensional wave functions of two components in a binary self-attractive Bose-Einstein condensate loaded in a cigar-shaped trap. The system is obtained by means of…

Other Condensed Matter · Physics 2009-11-11 Luca Salasnich , Boris A. Malomed

We consider the interaction of two-component bright-bright solitons with a narrow potential barrier (splitter) in the framework of a system of two Gross-Pitaevskii (nonlinear-Schr\"{o}dinger) equations modeling a binary Bose-Einstein…

Pattern Formation and Solitons · Physics 2020-05-06 Callum L. Grimshaw , Simon A. Gardiner , Boris A. Malomed

We study two-component solitons and their symmetry-breaking bifurcations (SBBs) in linearly coupled photonic systems with a spatially inhomogeneous strength of the coupling. One system models an inverted virtual photonic crystal, built by…

Optics · Physics 2012-05-10 Yongyao Li , Wei Pang , Shenhe Fu , Boris Malomed

It is commonly known that two-dimensional mean-field models of optical and matter waves with the cubic self-attraction cannot produce stable solitons in free space because of the occurrence of the collapse in the same setting. By means of…

Quantum Gases · Physics 2015-06-19 Hidetsugu Sakaguchi , Ben Li , Boris A. Malomed

The implications of the formation of a Bose condensate on one- and two-particle spectra are studied for ultrarelativistic nucleus-nucleus collisions in the framework of a hydrodynamic description. It is found that single particle spectra…

Nuclear Theory · Physics 2008-11-26 U. Ornik , M. Plümer , B. R. Schlei , D. Strottman , R. M. Weiner

We demonstrate fully demixed (separated) robust and stable bright binary dipolar Bose-Einstein condensate soliton in a quasi-one-dimensional setting formed due to dipolar interactions for repulsive contact interactions. For large repulsive…

Quantum Gases · Physics 2015-06-18 S. K. Adhikari

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

We study modulational instability of two-component Bose-Einstein condensates in an optical lattice, which is modelled as a coupled discrete nonlinear Schr \"{o}dinger equation. The excitation spectrum and the modulational instability…

Quantum Physics · Physics 2016-09-08 Guang-Ri Jin , Chul Koo Kim , Kyun Nahm

We study the magnetic soliton dynamics of spinor Bose-Einstein condensates in an optical lattice which results in an effective Hamiltonian of anisotropic pseudospin chain. A modified Landau-Lifshitz equation is derived and exact magnetic…

Other Condensed Matter · Physics 2009-11-11 Z. D. Li , P. B. He , L. Li , J. Q. Liang , W. M. Liu

We numerically demonstrate two-dimensional (2D) matter-wave solitons in the disk-shaped dipolar Bose-Einstein condensates (BECs) trapped in strongly anisotropic optical lattices (OLs) in a disk's plane. The considered OLs are square…

Pattern Formation and Solitons · Physics 2016-05-25 Huaiyu Chen , Yan Liu , Qiang Zhang , Yuhan Shi , Wei Pang , Yongyao Li