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We present how to control interactions between solitons, either bright or dark, in Bose-Einstein condensates by synchronizing Feshbach resonance and harmonic trap. Our results show that as long as the scattering length is to be modulated in…

Other Condensed Matter · Physics 2008-08-29 Xiao-Fei Zhang , Qin Yang , Jie-Fang Zhang , X. Z. Chen , W. M. Liu

We report a diversity of stable gap solitons in a spin-orbit coupled Bose-Einstein condensate subject to a spatially periodic Zeeman field. It is shown that the solitons, can be classified by the main physical symmetries they obey, i.e.…

Quantum Gases · Physics 2015-06-17 Yaroslav V. Kartashov , Vladimir V. Konotop , Fatkhulla Kh. Abdullaev

The dynamics of an elongated attractive Bose-Einstein condensate in an axisymmetric harmonic trap is studied. It is shown that density fringes caused by self-interference of the condensate order parameter seed modulational instability. The…

Soft Condensed Matter · Physics 2009-11-10 L. D. Carr , J. Brand

We study the motion of bright matter wave solitons in nonlinear potentials, produced by periodic or random spatial variations of the atomic scattering length. We obtain analytical results for the soliton motion, the radiation of matter…

Other Condensed Matter · Physics 2009-11-11 Fatkhulla Kh. Abdullaev , Josselin Garnier

We have created spatial dark solitons in two-component Bose-Einstein condensates in which the soliton exists in one of the condensate components and the soliton nodal plane is filled with the second component. The filled solitons are stable…

Condensed Matter · Physics 2009-10-31 B. P. Anderson , P. C. Haljan , C. A. Regal , D. L. Feder , L. A. Collins , C. W. Clark , E. A. Cornell

Here we revisit the topic of stationary and propagating solitonic excitations in self-repulsive three-dimensional Bose-Einstein condensates by quantitatively comparing theoretical analysis and associated numerical computations with our…

Quantum Gases · Physics 2022-11-23 T. Mithun , A. R. Fritsch , I. B. Spielman , P. G. Kevrekidis

Multi-component Bose-Einstein condensates exhibit an intriguing variety of nonlinear structures. In recent theoretical work, the notion of magnetic solitons has been introduced. Here we generalize this concept to vector dark-antidark…

Quantum Gases · Physics 2016-11-23 I. Danaila , M. A. Khamehchi , V. Gokhroo , P. Engels , P. G. Kevrekidis

We present the simulation results of merging harmonically confined rotating Bose-Einstein condensates in two dimensions. Merging of the condensate is triggered by positioning the rotation axis at the trap minima and moving both condensates…

We study soliton solutions for the Gross--Pitaevskii equation of the spinor Bose--Einstein condensates with hyperfine spin F=2 in one-dimension. Analyses are made in two ways: by assuming single-mode amplitudes and by generalizing Hirota's…

Other Condensed Matter · Physics 2009-11-13 Masaru Uchiyama , Jun'ichi Ieda , Miki Wadati

We consider a system of coupled Gross-Pitaevskii (GP) equations describing a binary quasi-one-dimensional Bose-Einstein condensate (BEC) with intrinsic time-dependent attractive interactions, placed in a time-dependent expulsive parabolic…

Quantum Gases · Physics 2015-09-02 R. Radha , P. S. Vinayagam , J. B. Sudharsan , Wu-Ming Liu , Boris A. Malomed

We consider solitary wave excitations above the ground state of $F=1$ spin-orbit coupled Bose-Einstein condensates (SOBECs). The low energy properties of SOBECs in any of the three branches of the single particle dispersion relation can be…

We present an experimental study of the collective dipole oscillation of a spin-orbit coupled Bose-Einstein condensate in a harmonic trap. Dynamics of the center-of-mass dipole oscillation is studied in a broad parameter region, as a…

We study the static and the dynamic response of coherently coupled two component Bose-Einstein condensates due to a spin-dipole perturbation. The static dipole susceptibility is determined and it is shown to be a key quantity to identify…

Quantum Gases · Physics 2015-09-30 Alberto Sartori , Jamir Marino , Sandro Stringari , Alessio Recati

We show that a Bose-Einstein condensate and a portion of its surrounding thermal cloud can exhibit mutual self-trapping, supported by the attractive particle interactions, and not by the external confinement. This type of dynamics is…

Other Condensed Matter · Physics 2007-05-23 H. Buljan , M. Segev , A. Vardi

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

Solitons are striking manifestations of nonlinearity, encountered in diverse physical systems such as water waves, nonlinear optics, and Bose-Einstein condensates (BECs). In BECs, dark solitons emerge as exact stationary solutions of the…

Quantum Gases · Physics 2026-01-21 Umut Tanyeri , Mehmet Atakan Gürkan , Ahmet Keleş , Mehmet Özgür Oktel

We investigate, analytically and numerically, families of bright solitons in a system of two linearly coupled nonlinear Schrodinger/Gross-Pitaevskii equations, describing two Bose-Einstein condensates trapped in an asymmetric double-well…

Pattern Formation and Solitons · Physics 2015-06-26 Valery S. Shchesnovich , Boris A. Malomed , Roberto A. Kraenkel

Close to the demixing transition, the degree of freedom associated to relative density fluctuations of a two-component Bose-Einstein condensate is described by a non-dissipative Landau-Lifshitz equation. In the quasi one-dimensional weakly…

Quantum Gases · Physics 2023-06-13 Sebastiano Bresolin , Arko Roy , Gabriele Ferrari , Alessio Recati , Nicolas Pavloff

We consider Bose-Einstein condensate (BEC) subject to the action of spin-orbit-coupling (SOC) periodically modulated in the radial direction. In contrast to the commonly known principle that periodic potentials do not create bound states,…

Quantum Gases · Physics 2023-09-15 Chunyan Li , Vladimir V. Konotop , Boris A. Malomed , Yaroslav V. Kartashov

In the framework of coupled 1D Gross-Pitaevskii equations, we explore the dynamics of a binary Bose-Einstein condensate where the intra-component interaction is repulsive, while the inter-component one is attractive. The existence regimes…

Quantum Gases · Physics 2023-01-31 K. K. Ismailov , B. B. Baizakov , F. Kh. Abdullaev , M. Salerno