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Related papers: Controlling Grey Solitons in a Trap

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We investigate a one-dimensional Bose-Hubbard model in a parametrically driven global harmonic trap. The delicate interplay of both the local atom interaction and the global driving allows to control the dynamical stability of the trapped…

Quantum Gases · Physics 2017-04-12 N. Mann , M. Reza Bakhtiari , F. Massel , A. Pelster , M. Thorwart

We provide analytical three-dimensional bright multi-soliton solutions to the (3+1)-dimensional Gross-Pitaevskii (GP) equation with time and space-dependent potential, time-dependent nonlinearity, and gain/loss. The zigzag propagation trace…

Exactly Solvable and Integrable Systems · Physics 2015-05-20 Zhenya Yan , Chao Hang

A few issues on gluon confinement are addressed with the help of a renormalizable gauge model obtained by introducing a replica of the Faddeev-Popov action and a soft breaking of the BRST symmetry. Confinement turns out to be encoded in the…

High Energy Physics - Theory · Physics 2011-08-23 Silvio Paolo Sorella

Mode-locked lasers have been widely used to explore interactions between optical solitons, including bound-soliton states that may be regarded as "photonic molecules". Conventional mode-locked lasers can however host at most only a few…

Optics · Physics 2020-04-27 Wenbin He , Meng Pang , Dung-Han Yeh , Jiapeng Huang , Philip St. J. Russell

We develop the theory of the resonant formation of coupled topological-collective coherent modes in the presence of a quantized trap and classical external field. The coupling between the topological and the collective modes can be linear…

Statistical Mechanics · Physics 2007-05-23 Aranya B Bhattacherjee

We numerically study the impact of Gaussian barrier height and width on the gray solitons population in a symmetric and asymmetric potential trap. The gray solitons are created in a double-well potential by the density engineering method.…

Pattern Formation and Solitons · Physics 2022-11-01 Jameel Hussain , Javed Akram , Farhan Saif

We investigate the collective excitations of a Raman-induced spin-orbit coupled Bose-Einstein condensate confined in a quasi one-dimension harmonic trap using the Bogoliubov method. By tuning the Raman coupling strength, three phases of the…

Quantum Gases · Physics 2017-04-06 Li Chen , Han Pu , Zeng-Qiang Yu , Yunbo Zhang

Collisions between bright solitary waves in the 1D Gross-Pitaevskii equation with a harmonic potential, which models a trapped atomic Bose-Einstein condensate, are investigated theoretically. A particle analogy for the solitary waves is…

Other Condensed Matter · Physics 2007-05-23 A. D. Martin , C. S. Adams , S. A. Gardiner

We consider in-plane electrostatic traps for indirect excitons in coupled quantum wells, where the traps are formed by a laterally modulated gate voltage. An intrinsic obstacle for exciton confinement in electrostatic traps is an in-plane…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. T. Hammack , N. A. Gippius , G. O. Andreev , L. V. Butov , M. Hanson , A. C. Gossard

We present two methods for characterization of motional-mode configurations that are generally applicable to the weak and strong-binding limit of single or multiple trapped atomic ions. Our methods are essential to realize control of the…

By using the Hartree-Fock-Bogoliubov equations within the Popov approximation, we investigate the thermodynamic properties of a dilute binary Bose-Fermi mixture confined in an isotropic harmonic trap. For mixtures with an attractive…

Statistical Mechanics · Physics 2009-11-10 Hui Hu , Xia-Ji Liu

The bright matter wave soliton propagation through a barrier with a rapidly oscillating position is investigated. The averaged over rapid oscillations Gross-Pitaevskii (GP) equation is derived. It is shown that the soliton is dynamically…

Other Condensed Matter · Physics 2015-06-25 Fatkhulla Kh. Abdullaev , Josselin Garnier

We report on the generation, subsequent oscillation and interaction of a pair of matter wave dark solitons. These are created by releasing a Bose-Einstein condensate from a double well potential into a harmonic trap in the crossover regime…

We experimentally investigate the phase winding dynamics of a harmonically trapped two-component BEC subject to microwave induced Rabi oscillations between two pseudospin components. While the single particle dynamics can be explained by…

Quantum Gases · Physics 2013-12-31 C. Hamner , Yongping Zhang , J. J. Chang , Chuanwei Zhang , P. Engels

Electronic structures and optical excitations in Moebius conjugated polymers are studied theoretically. Periodic and Moebius boundary conditions are applied to the tight binding model of poly(para-phenylene), taking into account of the…

Materials Science · Physics 2007-05-23 Kikuo Harigaya

Motivated by recent experimental results, we study beating dark-dark solitons as a prototypical coherent structure that emerges in two-component Bose-Einstein condensates. We showcase their connection to dark- bright solitons via SO(2)…

To study controlled evolution of non-autonomous matter-wave solitons in spinor Bose-Einstein condensates with spatiotemporal modulation, we focus on a system of three coupled Gross-Pitaevskii (GP) equations with space-time-dependent…

The response of a passive mode-locking mechanism, where gain and spectral filtering are saturated with the energy and loss saturated with the power, is examined under the presence of higher order effects. These include third order…

Optics · Physics 2015-06-22 Theodoros P. Horikis , Mark J. Ablowitz

We investigate the zero-temperature collective excitations of a Bose-condensed atomic gas in anisotropic parabolic traps. The condensate density is determined by solving the Gross-Pitaevskii (GP) equation using a spherical harmonic…

Condensed Matter · Physics 2009-10-30 D. A. W. Hutchinson , E. Zaremba

We use the Bogoliubov-de Gennes formalism to analyze the ground state phases of harmonically trapped two-species fermion mixtures with unequal masses. In the weakly attracting limit and around unitarity, we find that the superfluid order…

Superconductivity · Physics 2008-10-29 M. Iskin , C. J. Williams