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By means of the variational approximation (VA) and systematic simulations, we study dynamics and stability boundaries for solitons in a two-dimensional (2D) self-attracting Bose-Einstein condensate (BEC), trapped in an optical lattice (OL)…

Other Condensed Matter · Physics 2009-11-13 Gennadiy Burlak , Boris A. Malomed

This study investigates the formation and dynamics of solitons in Bose-Einstein condensates (BECs) within dark traps generated by two crossed Laguerre-Gaussian (LG) beams with varying azimuthal indices $\ell$. As the index $\ell$ increases,…

Quantum Gases · Physics 2024-12-11 Erwan Célanie , Laurent Delisle , Amine Jaouadi

We study the formation of solitons in a uniform quasi-one-dimensional (quasi-1D) spin-orbit (SO) coupled self-repulsive pseudo spin-half and spin-one dipolar Bose-Einstein condensates (BEC), using the mean-field Gross-Pitaevskii equation.…

Quantum Gases · Physics 2026-03-20 S. K. Adhikari

The dynamics of a bright matter wave soliton in a quasi 1D Bose-Einstein condensate with periodically rapidly varying trap is considered. The governing equation is derived based on averaging over fast modulations of the Gross-Pitaevskii…

Soft Condensed Matter · Physics 2009-11-07 F. Kh. Abdullaev , R. Galimzyanov

We investigate dipolar Bose-Einstein condensates in a complex external double-well potential that features a combined parity and time-reversal symmetry. On the basis of the Gross-Pitaevskii equation we study the effects of the long-ranged…

We present a theoretical analysis of three-dimensional (3D) matter-wave solitons and their stability properties in coupled atomic and molecular Bose-Einstein condensates (BEC). The soliton solutions to the mean-field equations are obtained…

Other Condensed Matter · Physics 2009-11-10 T. G. Vaughan , K. V. Kheruntsyan , P. D. Drummond

We study the formation of bright solitons in a Bose-Einstein condensate of $^7$Li atoms induced by a sudden change in the sign of the scattering length from positive to negative, as reported in a recent experiment (Nature {\bf 417}, 150…

Statistical Mechanics · Physics 2009-11-10 L. Salasnich , A. Parola , L. Reatto

New efficient and accurate numerical methods are proposed to compute ground states and dynamics of dipolar Bose-Einstein condensates (BECs) described by a three-dimensional (3D) Gross-Pitaevskii equation (GPE) with a dipolar interaction…

Quantum Gases · Physics 2021-10-26 Weizhua Bao , Yongyong Cai , Hanquan Wang

We investigate the existence and stability of three-dimensional (3D) solitons supported by cylindrical Bessel lattices (BLs) in self-focusing media. If the lattice strength exceeds a threshold value, we show numerically, and using the…

Pattern Formation and Solitons · Physics 2009-11-11 D. Mihalache , D. Mazilu , F. Lederer , B. A. Malomed , Y. V. Kartashov , L. -C. Crasovan , L. Torner

The stability and collapse of fundamental unstaggered bright solitons in the discrete Schrodinger equation with the nonpolynomial on-site nonlinearity, which models a nearly one-dimensional Bose-Einstein condensate trapped in a deep optical…

Pattern Formation and Solitons · Physics 2015-05-13 G. Gligoric , A. Maluckov , Lj. Hadzievski , B. A. Malomed

We theoretically explore the possibility of stabilizing the trapless polariton Bose-Einstein condensates (pBECs). Exploiting the variational method, we solve the associated nonlinear, complex Gross-Pitaevskii (cGP) equation and derive the…

Quantum Gases · Physics 2022-07-22 S. Sabari , R. Kishor Kumar , R. Radha , P. Muruganandam

We investigate the exact bright and dark solitary wave solutions of an effective one dimensional (1D) Bose-Einstein condensate (BEC) by assuming that the interaction energy is much less than the kinetic energy in the transverse direction.…

Pattern Formation and Solitons · Physics 2010-01-31 S. Rajendran , P. Muruganandam , M. Lakshmanan

We analyze the physics of bright solitons in two-dimensional dipolar Bose-Einstein condensates. These solitons are not possible in short-range interacting gases. In particular, we discuss the necessary conditions for the existence of stable…

Other Condensed Matter · Physics 2009-11-11 P. Pedri , L. Santos

A harmonically trapped Bose-Einstein condensate (BEC) leads to topologically trivial compact states. Because of the long-range nonlocal dipole-dipole interaction, a strongly dipolar BEC revealed many novel phenomena. Here we show that in a…

Quantum Gases · Physics 2025-07-28 S. K. Adhikari

In this paper, we propose a robust and efficient numerical method to compute the dynamics of the rotating two-component dipolar Bose-Einstein condensates (BEC). Using the rotating Lagrangian coordinates transform \cite{BMTZ2013}, we…

Computational Physics · Physics 2017-09-13 Qinglin Tang , Yong Zhang , Norbert Mauser

We numerically study the many-body physics of molecular Bose-Einstein condensates with strong dipole-dipole interactions. We observe the formation of self-bound droplets, and explore phase diagrams that feature a variety of exotic…

Quantum Gases · Physics 2022-06-07 Matthias Schmidt , Lucas Lassablière , Goulven Quéméner , Tim Langen

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

We experimentally show that dipolar interaction can stabilize otherwise unstable many-body systems like an attractive Bose gas. In a one dimensional lattice the repulsive dipolar on-site interaction balances negative scattering lengths up…

Quantum Gases · Physics 2012-02-03 S. Müller , J. Billy , E. A. L. Henn , H. Kadau , A. Griesmaier , M. Jona-Lasinio , L. Santos , T. Pfau

We study dipolar Bose-Einstein condensates for a realistic set of parameters close to actual experimental setups with dysprosium. Our analysis is based on the extended Gross-Pitaevskii equation, which we solve numerically exact on a…

Quantum Gases · Physics 2015-12-09 Damir Zajec , Günter Wunner

We demonstrate stable and metastable vortex-bright solitons in a three-dimensional spin-orbit-coupled three-component hyperfine spin-1 Bose-Einstein condensate (BEC) using numerical solution and variational approximation of a mean-field…

Quantum Gases · Physics 2019-08-20 Sandeep Gautam , S. K. Adhikari
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