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Full-Text Articles in Physical Sciences and Mathematics
Wave Patterns Generated By A Supersonic Moving Body In A Binary Bose-Einstein Condensate, Yg Gladush, Am Kamchatnov, Z Shi, Pg Kevrekidis, Dj Frantzeskakis, Ba Malomed
Wave Patterns Generated By A Supersonic Moving Body In A Binary Bose-Einstein Condensate, Yg Gladush, Am Kamchatnov, Z Shi, Pg Kevrekidis, Dj Frantzeskakis, Ba Malomed
Mathematics and Statistics Department Faculty Publication Series
Generation of wave structures by a two-dimensional (2D) object (laser beam) moving in a 2D two-component Bose-Einstein condensate with a velocity greater than the two sound velocities of the mixture is studied by means of analytical methods and systematic simulations of the coupled Gross-Pitaevskii equations. The wave pattern features three regions separated by two Mach cones. Two branches of linear patterns similar to the so-called “ship waves” are located outside the corresponding Mach cones, and oblique dark solitons are found inside the wider cone. An analytical theory is developed for the linear patterns. A particular dark-soliton solution is also obtained, …
Solitons In Quasi-One-Dimensional Bose-Einstein Condensates With Competing Dipolar And Local Interactions, J Cuevas, Ba Malomed, Pg Kevrekidis, Dj Frantzeskakis
Solitons In Quasi-One-Dimensional Bose-Einstein Condensates With Competing Dipolar And Local Interactions, J Cuevas, Ba Malomed, Pg Kevrekidis, Dj Frantzeskakis
Mathematics and Statistics Department Faculty Publication Series
We study families of one-dimensional matter-wave bright solitons supported by the competition of contact and dipole-dipole (DD) interactions of opposite signs. Soliton families are found, and their stability is investigated in the free space, and in the presence of an optical lattice (OL). Free-space solitons may exist with an arbitrarily weak local attraction if the strength of the DD repulsion is fixed. In the case of the DD attraction, solitons do not exist beyond a maximum value of the local-repulsion strength. In the system which includes the OL, a stability region for \textit{subfundamental solitons} (SFSs) is found in the second …
Spinor Bose-Einstein Condensate Flow Past An Obstacle, As Rodrigues, Pg Kevrekidis, R Carretero-Gonzalez, Dj Frantzeskakis, P Schmelcher, Tj Alexander, Ys Kivshar
Spinor Bose-Einstein Condensate Flow Past An Obstacle, As Rodrigues, Pg Kevrekidis, R Carretero-Gonzalez, Dj Frantzeskakis, P Schmelcher, Tj Alexander, Ys Kivshar
Mathematics and Statistics Department Faculty Publication Series
We study the flow of a spinor (F=1) Bose-Einstein condensate in the presence of an obstacle. We consider the cases of ferromagnetic and polar spin-dependent interactions, and find that the system demonstrates two speeds of sound that are identified analytically. Numerical simulations reveal the nucleation of macroscopic nonlinear structures, such as dark solitons and vortex-antivortex pairs, as well as vortex rings in one- and higher-dimensional settings, respectively, when a localized defect (e.g., a blue-detuned laser beam) is dragged through the spinor condensate at a speed larger than the second critical speed.