Stability of single and multiple matter-wave dark solitons in collisionally inhomogeneous Bose–Einstein condensates

PG Kevrekidis, R Carretero-González… - … Journal of Modern …, 2017 - World Scientific
We examine the spectral properties of single and multiple matter-wave dark solitons in Bose–
Einstein condensates confined in parabolic traps, where the scattering length is periodically …

Dynamical generation of solitons in one-dimensional Fermi superfluids with and without spin-orbit coupling

L Kong, G Fan, SG Peng, XL Chen, H Zhao, P Zou - Physical Review A, 2021 - APS
We theoretically generalize a systematic language to describe the phase-imprinting
technique to investigate the dynamical generation of solitons in a one-dimensional Raman …

[PDF][PDF] 具有2n+1次非线性的薛定谔方程暗孤子特性

周昱, 张远, 王颖, 赵明琳, 闫东广 - Acta Optica Sinica, 2020 - researching.cn
摘要研究了具有2n+ 1 次非线性的薛定谔方程暗孤子特性. 首先, 给出了静态暗孤子解的统一
解析表达式, 发现静态暗孤子的宽度随非线性幂次的增大而减小, 其深度保持不变. 其次 …

Core filling and snaking instability of dark solitons in spin-imbalanced superfluid Fermi gases

MD Reichl, EJ Mueller - Physical Review A, 2017 - APS
We use the time-dependent Bogoliubov–de Gennes equations to study dark solitons in three-
dimensional spin-imbalanced superfluid Fermi gases. We explore how the shape and …

Vortex states in rotating Bose–Einstein condensates beyond the mean-field regime

B Chatterjee - Pramana, 2024 - Springer
The production of quantised vortices having diverse structures is the remarkable effect of
rotating Bose–Einstein condensates (BEC). Vortex formation described by the mean-field …

[HTML][HTML] A method for the dynamics of vortices in a Bose-Einstein condensate: analytical equations of the trajectories of phase singularities

S De María-García, A Ferrando, JA Conejero… - Condensed …, 2023 - mdpi.com
We present a method to study the dynamics of a quasi-two dimensional Bose-Einstein
condensate which initially contains several vortices at arbitrary locations. The method allows …

Quantum knots in Bose-Einstein condensates created by counterdiabatic control

T Ollikainen, S Masuda, M Möttönen, M Nakahara - Physical Review A, 2017 - APS
We study theoretically the creation of knot structures in the polar phase of spin-1 Bose-
Einstein condensates using the counterdiabatic protocol in an unusual fashion. We provide …

Domain formation and universally critical dynamics through phase separation in two-component Bose-Einstein condensates

Y Ji, X Qin, B Liu, Y Li, B Lu, X Jiang, C Lee - arXiv preprint arXiv …, 2023 - arxiv.org
We explore the defect formation and universally critical dynamics in two-dimensional (2D)
two-component Bose-Einstein condensates (BECs) subjected to two types of potential traps …

Solitons and solitonic vortices in a strip

A Aftalion, E Sandier - Nonlinear Analysis, 2023 - Elsevier
We study the ground state of the Gross–Pitaevskii energy in a strip, with a phase imprinting
condition, motivated by recent experiments on matter waves solitons. We prove that when …

Dark-soliton collisions in a toroidal Bose-Einstein condensate

DM Jezek, P Capuzzi, HM Cataldo - Physical Review A, 2016 - APS
We study the dynamics of two gray solitons in a Bose-Einstein condensate confined by a
toroidal trap with a tight confinement in the radial direction. Gross-Pitaevskii simulations …