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We find a set of exact solutions of coherent bright solitons in the quasi-one-dimensional (1D) Bose-Einstein condensate (BEC) trapped in a harmonic potential, by using a Gaussian laser well (barrier) with oscillating position to balance the…

Quantum Physics · Physics 2008-11-30 Wenhua Hai , Qiongtao Xie , Qianquan Zhu

We consider computer generated configurations of quantised vortices in planar superfluid Bose-Einstein condensates. We show that unsupervised machine learning technology can successfully be used for classifying such vortex configurations to…

Quantum Gases · Physics 2022-03-14 Rama Sharma , Tapio Simula

Motivated by recent proposals of ``collisionally inhomogeneous'' Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and stability properties of bright and dark matter-wave solitons…

Pattern Formation and Solitons · Physics 2009-11-13 A. S. Rodrigues , P. G. Kevrekidis , Mason A. Porter , D. J. Frantzeskakis , P. Schmelcher , A. R. Bishop

Laboratory observations of vortex dynamics in Bose-Einstein condensates (BECs) are essential for determination of many aspects of superfluid dynamics in these systems. We present a novel application of dark-field imaging that enables…

Quantum Gases · Physics 2015-06-19 Kali E. Wilson , Zachary L. Newman , Joseph D. Lowney , Brian P. Anderson

The modulational instability and discrete matter wave solitons in dipolar BEC, loaded into a deep optical lattice, are investigated analytically and numerically. The process of modulational instability of nonlinear plane matter waves in a…

Quantum Gases · Physics 2015-05-28 S. Rojas-Rojas , R. A. Vicencio , M. I. Molina , F. Kh. Abdullaev

We investigate the dynamics and modulation of ring dark soliton in 2D Bose-Einstein condensates with tunable interaction both analytically and numerically. The analytic solutions of ring dark soliton are derived by using a new…

Other Condensed Matter · Physics 2009-11-13 Xing-Hua Hu , Xiao-Fei Zhang , Dun Zhao , Hong-Gang Luo , W. M. Liu

This is a review addressing soliton-like states in systems with nonlocal nonlinearity. The work on this topic has long history. Some findings, such as optical solitons supported by thermal nonlinearity, and by the orientational nonlinearity…

Optics · Physics 2022-07-20 Boris A. Malomed

Masked Autoencoders (MAEs) achieve impressive performance in image classification tasks, yet the internal representations they learn remain less understood. This work started as an attempt to understand the strong downstream classification…

Machine Learning · Computer Science 2026-02-04 Anika Shrivastava , Renu Rameshan , Samar Agnihotri

The problem of understanding how a coherent, macroscopic Bose-Einstein condensate (BEC) emerges from the cooling of a thermal Bose gas has attracted significant theoretical and experimental interest over several decades. The pioneering…

We consider a Bose-Einstein condensate (BEC) loaded into a one-dimensional optical cavity under the combined action of an external potential and atom-cavity coupling with mutually incommensurate periods. Such configuration enables the…

Quantum Gases · Physics 2026-02-23 Pedro S. Gil , Vladimir V. Konotop

Thanks to their immense purity and controllability, dipolar Bose-Einstein condensates are an exemplar for studying fundamental non-local nonlinear physics. Here we show that a family of fundamental nonlinear waves - the dark solitons - are…

Quantum Gases · Physics 2017-07-05 T. Bland , K. Pawlowski , M. J. Edmonds , K. Rzazewski , N. G. Parker

One of the most fascinating experimental achievements of the last decade was the realization of Bose-Einstein Condensation (BEC) of ultra-cold atoms in optical lattices (OL's). The extraordinary level of control over these structures allows…

Statistical Mechanics · Physics 2015-05-13 G. S. Ng , H. Hennig , R. Fleischmann , T. Kottos , T. Geisel

Recent work indicates that, besides being a challenge in producing perceptually pleasing images, low light proves more difficult for machine cognition than previously thought. In our work, we take a closer look at object detection in low…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Igor Morawski , Yu-An Chen , Yu-Sheng Lin , Winston H. Hsu

The creation and interaction of dark solitons in a two-component Bose-Einstein condensate is investigated. For a miscible case, the interaction of dark solitons in different components is studied. Various possible scenarios are presented,…

Soft Condensed Matter · Physics 2013-05-29 P. Ohberg , L. Santos

We develop a perturbation theory for bright solitons of the F=1 integrable spinor Bose-Einstein condensate (BEC) model. The formalism is based on using the Riemann-Hilbert problem and provides the means to analytically calculate evolution…

Other Condensed Matter · Physics 2009-11-13 Evgeny V. Doktorov , Jiandong Wang , Jianke Yang

In the present work, we revisit two-component Bose-Einstein condensates in their fully three-dimensional (3d) form. Motivated by earlier studies of dark-bright solitons in the 1d case, we explore the stability of these structures in their…

Quantum Gases · Physics 2017-03-08 Wenlong Wang , P. G. Kevrekidis

We report on the experimental observation of classical Brownian motion in momentum space by a Bose-Einstein condensate (BEC) of Rubidium atoms prepared in a hexagonal optical lattice. Upon suddenly increasing the effective atomic mass, the…

Recording atomic-resolution transmission electron microscopy (TEM) images is becoming increasingly routine. A new bottleneck is then analyzing this information, which often involves time-consuming manual structural identification. We have…

We demonstrate a dramatic change in the interaction forces between dark solitons in nonlocal nonlinear media. We present what we believe is the first experimental evidence of attraction of dark solitons. Our results indicate that attraction…

We consider the dynamics of a dark soliton in an elongated harmonically trapped Bose-Einstein condensate. A central question concerns the behavior at finite temperatures, where dissipation arises due to the presence of a thermal cloud. We…

Statistical Mechanics · Physics 2009-11-11 B. Jackson , C. F. Barenghi , N. P. Proukakis