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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

Solitons are nonlinear solitary waves which maintain their shape over time and through collisions, occurring in a variety of nonlinear media from plasmas to optics. We present an experimental and theoretical study of hydrodynamic phenomena…

We consider the conditions under which solitary waves can exist in elongated clouds of Bose-Einstein condensed atoms. General expressions are derived for the velocity, characteristic size, and spatial profile of solitary waves, and the low-…

Condensed Matter · Physics 2009-10-31 A. D. Jackson , G. M. Kavoulakis , C. J. Pethick

Bright solitary waves in a Bose-Einstein condensate contain thousands of identical atoms held together despite their only weakly attractive contact interactions. They nonetheless behave like a compound object, staying whole in collisions,…

Considering a Bose-Einstein condensed gas confined in one dimension with periodic boundary conditions, we demonstrate that, very generally, solitary-wave and rotational excitations coincide. This exact equivalence allows us to establish…

Quantum Gases · Physics 2015-05-20 A. D. Jackson , J. Smyrnakis , M. Magiropoulos , G. M. Kavoulakis

We study the stability, form and interaction of single and multiple dark solitons in quasi-one-dimensional dipolar Bose-Einstein condensates. The solitons are found numerically as stationary solutions in the moving frame of a non-local…

Quantum Gases · Physics 2016-06-28 M. J. Edmonds , T. Bland , D. H. J. O'Dell , N. G. Parker

We study the stability of the standing wave solutions of a Gross-Pitaevskii equation describing Bose-Einstein condensation of dipolar quantum gases and characterize their orbit. As an intermediate step, we consider the corresponding…

Analysis of PDEs · Mathematics 2014-03-03 Rémi Carles , Hichem Hajaiej

We demonstrate the existence of a new class of two-component vector solitary waves in which dispersion coefficients have of opposite signs. Stability is achieved by inclusion of an additional linear coupling between the vector components…

Other Condensed Matter · Physics 2007-05-23 L. Plaja , J. San Roman

In recent years, bright soliton-like structures composed of gaseous Bose-Einstein condensates have been generated at ultracold temperature. The experimental capacity to precisely engineer the nonlinearity and potential landscape experienced…

Quantum Gases · Physics 2013-05-29 T. P. Billam , A. L. Marchant , S. L. Cornish , S. A. Gardiner , N. G. Parker

It is an open fundamental question how the classical appearance of our environment arises from the underlying quantum many-body theory. We propose that phenomena involved in the quantum-to-classical transition can be probed in collisions of…

Quantum Physics · Physics 2024-04-02 A. Sreedharan , S Kuriyattil , S. Choudhury , R. Mukherjee , A. Streltsov , S. Wüster

We derive solitary-wave solutions within the mean-field approximation in quasi-one-dimensional binary mixtures of Bose-Einstein condensates under periodic boundary conditions, for the case of an effective repulsive interatomic interaction.…

Quantum Gases · Physics 2015-06-05 J. Smyrnakis , M. Magiropoulos , G. M. Kavoulakis , A. D. Jackson

We study statically homogeneous Bose-Einstein condensates with spatially inhomogeneous interactions and outline an experimental realization of compensating linear and nonlinear potentials that can yield constant-density solutions. We…

Pattern Formation and Solitons · Physics 2013-09-26 Scott Holmes , Mason A. Porter , Peter Krüger , Panayotis G. Kevrekidis

We analyse the dynamical properties of three-dimensional solitary waves in cylindrically trapped Bose-Einstein condensates. Families of solitary waves bifurcate from the planar dark soliton and include the solitonic vortex, the vortex ring…

Quantum Gases · Physics 2016-01-05 Antonio Muñoz Mateo , Joachim Brand

We experimentally generate two-dimensional Jones-Roberts solitons in a three-dimensional atomic Bose-Einstein condensate by imprinting a triangular phase pattern. By monitoring their dynamics we observe that this kind of solitary waves are…

Motivated by the study of matter waves in Bose-Einstein condensates and coupled nonlinear optical systems, we study a system of two coupled nonlinear Schrodinger equations with inhomogeneous parameters, including a linear coupling. For that…

Dynamical Systems · Mathematics 2009-11-13 Juan Belmonte Beitia , Victor M. Perez Garcia , Pedro J. Torres

Faraday and resonant density waves emerge in Bose-Einstein condensates as a result of harmonic driving of the system. They represent nonlinear excitations and are generated due to the interaction-induced coupling of collective oscillation…

Quantum Gases · Physics 2019-09-11 Dusan Vudragovic , Antun Balaz

A two-component Bose-Einstein condensate that is confined in a one-dimensional ring potential supports solitary-wave solutions, which we evaluate analytically. The derived solutions are shown to be unique. The corresponding dispersion…

Quantum Gases · Physics 2015-05-14 J. Smyrnakis , M. Magiropoulos , G. M. Kavoulakis , A. D. Jackson

We investigate the formation of bound states between dark-antidark solitary waves in two-component dipolar Bose-Einstein condensates. The excitation spectrum contains density and spin branches, and a rotonic feature of the spin branch…

Quantum Gases · Physics 2026-04-17 R. M. V. Röhrs , R. N. Bisset

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

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…

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