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A generalised method of using feedback to control Bose-Einstein condensates is introduced. The condensates are modelled by the Gross-Pitaevskii equation, so only semiclassical fluctations can be suppressed, and back-action from the…

Condensed Matter · Physics 2009-11-10 S. A. Haine , A. J. Ferris , J. D. Close , J. J. Hope

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 investigate dark-bright vector solitary wave solutions to the coupled non-linear Schr\"odinger equations which describe an inhomogeneous two-species Bose-Einstein condensate. While these structures are well known in non-linear fiber…

Condensed Matter · Physics 2009-10-31 Th. Busch , J. R. Anglin

We consider the approximate control of solitons in generalized Korteweg-de Vries equations. By introducing a suitable internal bilinear control on the equation, we prove that any soliton is locally null controllable, and moreover, any…

Analysis of PDEs · Mathematics 2014-05-27 Claudio Muñoz

We investigate lensing and waveguiding properties of an atomic Bose-Einstein condensate for ultraslow pulse generated by electromagnetically induced transparency method. We show that a significant time delay can be controllably introduced…

Optics · Physics 2011-03-25 Devrim Tarhan , Alphan Sennaroglu , Ozgur E. Mustecaplioglu

We report on the controlled creation of multiple soliton complexes of the dark-bright type in one-dimensional two-component, three-component and spinor Bose-Einstein condensates. The formation of these states is based on the so-called…

Quantum Gases · Physics 2020-06-05 A. Romero-Ros , G. C. Katsimiga , P. G. Kevrekidis , P. Schmelcher

We identify form-stable coupled excitations of light and matter (``dark-state polaritons'') associated with the propagation of quantum fields in Electromagnetically Induced Transparency. The properties of the dark-state polaritons such as…

Quantum Physics · Physics 2009-11-06 M. Fleischhauer , M. D. Lukin

We discuss the possible observation of a new type of standing nonlinear atomic matter wave in the condensate: the nonlinear impurity mode. It is investigated dynamical effects of a bright soliton in Bose-Einstein-condensed (BEC) systems…

Soft Condensed Matter · Physics 2007-05-23 F. Kh. Abdullaev , A. Gammal , L. Tomio

We consider the manipulation of Bose-Einstein condensate vortices by optical potentials generated by focused laser beams. It is shown that for appropriate choices of the laser strength and width it is possible to successfully transport…

Pattern Formation and Solitons · Physics 2012-05-11 M. C. Davis , R Carretero-González , Z. Shi , K. J. H. Law , P. G. Kevrekidis , B. P. Anderson

We consider the growth of cosmological perturbations to the energy density of dark matter during matter domination when dark matter is a scalar field that has undergone Bose-Einstein condensation. We study these inhomogeneities within the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Ben Kain , Hong Y. Ling

We present how to control interactions between solitons, either bright or dark, in Bose-Einstein condensates by synchronizing Feshbach resonance and harmonic trap. Our results show that as long as the scattering length is to be modulated in…

Other Condensed Matter · Physics 2008-08-29 Xiao-Fei Zhang , Qin Yang , Jie-Fang Zhang , X. Z. Chen , W. M. Liu

We have shown that quantum interference in a driven quasi-degenerate two-level atomic system can be controlled by an externally applied magnetic field. We demonstrate that the mechanism of optical control is based on quantum interference,…

Quantum Physics · Physics 2013-12-24 Yu. M. Golubev , T. Yu. Golubeva , Yu. V. Rostovtsev , M. O. Scully

Earlier work has shown that ring dark solitons in two-dimensional Bose-Einstein condensate are generically unstable. In this work, we propose a way of stabilizing the ring dark soliton via a radial Gaussian external potential. We…

We investigate waveguiding of ultraslow light pulses in an atomic Bose-Einstein condensate. We show that under the conditions of off-resonant electromagnetically induced transparency, waveguiding with a few ultraslow modes can be realized.…

Other Condensed Matter · Physics 2009-11-13 Devrim Tarhan , Nazmi Postacioglu , Ozgur E. Mustecaplioglu

Dark solitons carrying quantized phase information arouse great interest in different nonlinear systems. A dark soliton in 1D can be stabilized in microcavity polariton condensates as a confinement is imposed on it to prevent its decay.…

Optics · Physics 2024-11-25 Jinming Sun , Manna Chen , Stefan Schumacher , Wei Hu , Xuekai Ma

A number of recent experiments with nearly pure atomic Bose-Einstein condensates have confirmed the predicted dark soliton oscillations when under harmonic trapping. However, a dark soliton propagating in an inhomogeneous condensate has…

Quantum Gases · Physics 2010-03-16 N. G. Parker , N. P. Proukakis , C. S. Adams

We consider the collision of a dark soliton with an obstacle in a quasi-one-dimensional Bose condensate. We show that in many respects the soliton behaves as an effective classical particle of mass twice the mass of a bare particle,…

Statistical Mechanics · Physics 2009-11-11 Nicolas Bilas , Nicolas Pavloff

Galactic dark matter is modelled by a scalar field in order to effectively modify Kepler's law without changing standard Newtonian gravity. In particular, a solvable toy model with a self-interaction U(Phi) borrowed from non-topological…

Astrophysics · Physics 2016-11-09 Eckehard W. Mielke , Burkhard Fuchs , Franz E. Schunck

We study dark-bright ring solitons in two-component Bose-Einstein condensates. In the limit of large densities of the dark component, we describe the soliton dynamics by means of an equation of motion for the ring radius. The presence of…

Quantum Gases · Physics 2011-09-16 J. Stockhofe , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

We describe a new technique to accelerate and control a confined cloud of ultracold neutral atoms. In our configuration, a Bose-Einstein Condensate trapped in a ring is accelerated by using an amplitude-modulated optical potential. The…

Soft Condensed Matter · Physics 2015-06-25 Alicia V. Carpentier , Humberto Michinel