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We analyze spatio-temporal structures in the Gross-Pitaevskii equation to study the dynamics of quasi-one-dimensional Bose-Einstein condensates (BECs) with mean-field interactions. A coherent structure ansatz yields a parametrically forced…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , Predrag Cvitanovic

We study analytically and numerically the generation of shock waves in a quasi one-dimensional Bose-Einstein condensate (BEC) made of dilute and ultracold alkali-metal atoms. For the BEC we use an equation of state based on a 1D…

Pattern Formation and Solitons · Physics 2016-03-30 Luca Salasnich

We consider the Gross-Pitaevskii (GP) equation in the presence of periodic and quasiperiodic superlattices to study cigar-shaped Bose-Einstein condensates (BECs) in such potentials. We examine spatially extended wavefunctions in the form of…

Pattern Formation and Solitons · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis

Generation of wave structures by a two-dimensional object (laser beam) moving in a two-dimensional two-component Bose-Einstein condensate with a velocity greater than both sound velocities of the mixture is studied by means of analytical…

Other Condensed Matter · Physics 2009-11-13 Yu. G. Gladush , A. M. Kamchatnov , Z. Shi , P. G. Kevrekidis , D. J. Frantzeskakis , B. A. Malomed

The processes of merging and splitting dilute-gas Bose-Einstein condensates are studied in the nonadiabatic, high-density regime. Rich dynamics are found. Depending on the experimental parameters, uniform soliton trains containing more than…

Other Condensed Matter · Physics 2009-11-13 J. J. Chang , P. Engels , M. A. Hoefer

We demonstrate parametric resonance in Bose-Einstein condensates (BECs) with attractive two-body interaction in a harmonic trap under parametric excitation by periodic modulation of the s-wave scattering length. We obtain nonlinear…

Quantum Gases · Physics 2014-05-09 William Cairncross , Axel Pelster

A recent experiment [Deng et al., Nature 398, 218(1999)] demonstrated four-wave mixing of matter wavepackets created from a Bose-Einstein condensate. The experiment utilized light pulses to create two high-momentum wavepackets via Bragg…

Statistical Mechanics · Physics 2009-10-31 Marek Trippenbach , Yehuda B. Band , Paul S. Julienne

We study the emergence of density waves in dipolar Bose-Einstein condensates (BEC) when the strength of dipole-dipole atomic interactions is periodically varied in time. The proposed theoretical model, based on the evolution of small…

Quantum Gases · Physics 2020-05-20 B. Kh. Turmanov , B. B. Baizakov , F. Kh. Abdullaev

Bose-Einstein condensates (BECs) are macroscopic coherent matter waves that have revolutionized quantum science and atomic physics. They are essential to quantum simulation and sensing, for example underlying atom interferometers in space…

A theoretical scheme for an experimental implementation involving bisolitonic matter waves from an attractive Bose-Einstein condensate, is considered within the framework of a non-perturbative approach to the associate Gross-Pitaevskii…

Pattern Formation and Solitons · Physics 2011-02-22 Alain Moise Dikande , Isaiah Ndifon Ngek , Joseph Ebobenow

Superfluid and dissipative regimes in the dynamics of a two-component quasi-one-dimensional Bose-Einstein condensate (BEC) with unequal atom numbers in the components have been explored. The system supports localized waves of the symbiotic…

Quantum Gases · Physics 2024-07-03 S. M. Al-Marzoug , B. B. Baizakov , U. Al Khawaja , H. Bahlouli

We study the propagation of electromagnetic waves in the Bose-Einstein condensate of atoms with both intrinsic dipole moments and those induced by the electric field. The modified Gross--Pitaevskii equation is used, which takes into account…

Quantum Gases · Physics 2014-08-08 Yu. M. Poluektov , I. V. Tanatarov

Waves with different symmetries exist in two-component Bose-Einstein condensates (BECs) whose dynamics is described by a system of coupled Gross-Pitaevskii (GP) equations. A first type of waves corresponds to excitations for which the…

Quantum Gases · Physics 2016-12-22 A. M. Kamchatnov , Y. V. Kartashov , P. -É. Larré , N. Pavloff

A Bose-Einstein condensate (BEC) is a quantum fluid that gives rise to interesting shock wave nonlinear dynamics. Experiments depict a BEC that exhibits behavior similar to that of a shock wave in a compressible gas, eg. traveling fronts…

Other Condensed Matter · Physics 2009-11-11 M. A. Hoefer , M. J. Ablowitz , I. Coddington , E. A. Cornell , P. Engels , V. Schweikhard

We consider propagation of density wave packets in a Bose-Einstein condensate. We show that the shape of initially broad, laser-induced, density perturbation changes in the course of free time evolution so that a shock wave front finally…

Soft Condensed Matter · Physics 2009-11-10 Bogdan Damski

We study the propagation of a density wave in a magnetically trapped Bose-Einstein condensate at finite temperatures. The thermal cloud is in the hydrodynamic regime and the system is therefore described by the two-fluid model. A…

Quantum Gases · Physics 2015-05-14 R. Meppelink , S. B. Koller , P. van der Straten

Based on the modified Gross-Pitaevskii equation for atoms with intrinsic dipole moments which accounts for the relaxation of a condensate, the dipole-dipole interaction and the interaction of atoms with the electromagnetic field, the…

Quantum Gases · Physics 2020-01-08 Yu. M. Poluektov , A. A. Soroka

We consider the possible existence of gravitationally bound general relativistic strings consisting of Bose-Einstein condensate (BEC) matter which is described, in the Newtonian limit, by the zero temperature time-dependent nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-09-29 Tiberiu Harko , Matthew J. Lake

We investigate the dynamics of an effectively one-dimensional Bose-Einstein condensate (BEC) with scattering length $a$ subjected to a spatially periodic modulation, $a=a(x)=a(x+L)$. This "collisionally inhomogeneous" BEC is described by a…

Pattern Formation and Solitons · Physics 2009-11-11 Mason A. Porter , P. G. Kevrekidis , Boris A. Malomed , D. J. Frantzeskakis

We suggest a method to create turbulence in a trapped atomic Bose-Einstein condensate (BEC). By replacing in the upper half part of our box the wave function, Psi, with its complex conjugate, Psi^{*}, new negative vortices are introduced…

Other Condensed Matter · Physics 2015-05-13 Eniko J. M. Madarassy
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