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In this paper, we derive equations for the dynamics of ring dark solitons in an expanding cloud of a two-dimensional Bose-Einstein condensate. Assuming that the soliton's width is much smaller than its radius, we obtain the Hamilton…

Pattern Formation and Solitons · Physics 2025-04-03 A. M. Kamchatnov , B. I. Suleimanov , E. N. Tsoy

A one-dimensional Bose-Einstein condensate may experience nonlinear periodic modulations known as "cnoidal waves". We argue that such structures represent promising candidates for the study of supersolidity-related phenomena in a…

Quantum Gases · Physics 2021-02-17 Giovanni I. Martone , Alessio Recati , Nicolas Pavloff

We theoretically demonstrate a mechanism for bright soliton generation in spinor non-equilibrium Bose-Einstein condensates made of atoms or quasiparticles such as polaritons in semiconductor microcavities. We give analytical expressions for…

Pattern Formation and Solitons · Physics 2016-05-10 F. Pinsker , H. Flayac

We analyse the static solutions of attractive Bose-Einstein condensates under transverse confinement, both with and without axial confinement. By full numerical solution of the Gross-Pitaevskii equation and variational methods we map out…

Other Condensed Matter · Physics 2009-11-13 N. G. Parker , S. L. Cornish , C. S. Adams , A. M. Martin

By numerical and variational analysis of the three-dimensional Gross-Pitaevskii equation we study the formation and dynamics of bright and vortex-bright solitons in a cigar-shaped dipolar Bose-Einstein condensate for large repulsive atomic…

Quantum Gases · Physics 2015-05-27 Luis E. Young-S. , P. Muruganandam , S. K. Adhikari

We study the magnetic soliton dynamics of spinor Bose-Einstein condensates in an optical lattice which results in an effective Hamiltonian of anisotropic pseudospin chain. An equation of nonlinear Schr\"odinger type is derived and exact…

Other Condensed Matter · Physics 2010-12-30 Zai-Dong Li , Qiu-Yan Li

Possible fragmentation of a Bose-Einstein condensate with negative scattering length is investigated using a simple two-level model. Our results indicate that fragmentation does not take place for values of the coupling for which the system…

Statistical Mechanics · Physics 2007-05-23 Oe. Elgaroey , C. J. Pethick

The effects of small Lorentz-violating terms on Bose-Einstein condensates are analyzed. We find that there are changes to the phase and shape of the ground-state wave function that vary with the orientation of the trap. In addition,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Don Colladay , Patrick McDonald

Using a semi-classical model to describe the interaction between coherent electromagnetic radiation and a Bose-Einstein condensate in the limit of zero temperature, including the back action of the atoms on the radiation, we have analyzed…

Pattern Formation and Solitons · Physics 2013-05-29 Arkady Kim , Federica Cattani , Dan Anderson , Mietek Lisak

We study formation of solitons induced by counterflows of immiscible superfluids. Our setting is based on a quasi-one-dimensional binary Bose-Einstein condensate (BEC), composed of two immiscible components with large and small numbers of…

Quantum Gases · Physics 2015-06-15 F. Tsitoura , V. Achilleos , B. A. Malomed , D. Yan , P. G. Kevrekidis , D. J. Frantzeskakis

A spatially inhomogeneous, trapped two-component Bose-Einstein condensate of cold atoms in the phase separation mode has been numerically simulated. It has been demonstrated for the first time that the surface tension between the components…

Quantum Gases · Physics 2022-01-26 Victor P. Ruban

We discuss a method to launch gap soliton-like structures in atomic Bose-Einstein condensates confined in optical traps. Bright vector solitons consisting of a superposition of two hyperfine Zeeman sublevels can be created for both…

Condensed Matter · Physics 2009-10-31 O. Zobay , E. M. Wright , P. Meystre

Longitudinal confinement of dark solitons in quasi-one-dimensional Bose-Einstein condensates leads to sound emission and reabsorption. We perform quantitative studies of the dynamics of a soliton oscillating in a tight dimple trap, embedded…

Condensed Matter · Physics 2009-11-07 N. G. Parker , N. P. Proukakis , M. Leadbeater , C. S. Adams

The dark soliton created in a Bose-Einstein condensate becomes grey in course of time evolution because its notch fills up with depleted atoms. This is the result of quantum mechanical calculations which describes output of many…

Condensed Matter · Physics 2009-11-07 Jacek Dziarmaga , Zbyszek P. Karkuszewski , Krzysztof Sacha

We outline the general features of the conventional mean-field theory for the description of Bose-Einstein condensates at near zero temperatures. This approach, based on a phenomenological model, appears to give excellent agreement with…

Statistical Mechanics · Physics 2009-10-30 N. P. Proukakis , K. Burnett

The possibility of generating stable anisotropic solitons in dipolar Bose-Einstein condensates (BECs) leads to a different scenario not possible in a nondipolar BEC with contact interaction. We study the statics and dynamics of anisotropic…

Quantum Gases · Physics 2022-02-04 Luis E. Young-S. , S. K. Adhikari

The dynamics of multiple domain formation caused by the modulation instability of two-component Bose-Einstein condensates in an axially symmetric trap are studied by numerically integrating the coupled Gross-Pitaevskii equations. The…

Soft Condensed Matter · Physics 2009-11-10 Kenichi Kasamatsu , Makoto Tsubota

Every Bose-Einstein condensate is in a highly entangled state, as a consequence of the fact that the particles in a condensate are distributed over space in a coherent way. It is proved that any two regions within a condensate of finite…

Quantum Physics · Physics 2009-11-07 Christoph Simon

When a Bose-Einstein condensed cloud of atoms is given some angular momentum, it forms vortices arranged in structures with a discrete rotational symmetry. For these vortex states, the Hilbert space of the exact solution separates into a…

Dipolar Bose-Einstein condensates represent a powerful platform for the exploration of quantum many-body phenomena arising from long-range interactions. A series of recent experiments has demonstrated the formation of supersolid states of…

Quantum Gases · Physics 2021-07-14 Yong-Chang Zhang , Thomas Pohl , Fabian Maucher