Matter-wave solitons in a spin-1 Bose-Einstein condensate with time-modulated external potential and scattering lengths

Under investigation in this paper is a variable-coefficient coupled Gross-Pitaevskii (GP) system, which is associated with the studies on atomic matter waves. Through the Painlev´e analysis, we obtain the constraint on the variable coefficients, under which the system is integrable. The bilinear form and multi-soliton solutions are derived with the Hirota bilinear method and symbolic computation. We found that: (i) in the elastic collisions, an external potential can change the propagation of the soliton, and thus the density of the matter wave in the two-species Bose-Einstein condensate (BEC); (ii) in the shape-changing collision, the solitons can exchange energy among different species, leading to the change of soliton amplitudes.We also present the collisions among three solitons of atomic matter waves.

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Two distinguishable impurities in BEC: squeezing and entanglement of two Bose polarons

10.21468/scipostphys.6.1.010 ◽

2019 ◽

Vol 6 (1) ◽

Cited By ~ 8

Author(s):

Christos Charalambous ◽

Miguel A. Garcia-March ◽

Aniello Lampo ◽

Mohammad Mehboud ◽

Maciej Lewenstein

Keyword(s):

Sudden Death ◽

Stochastic Equations ◽

Einstein Condensate ◽

Time Limit ◽

External Potential ◽

Harmonic Potential ◽

Bose Einstein Condensate ◽

Brownian Particles ◽

Bose Einstein ◽

Asymptotic Time

We study entanglement and squeezing of two uncoupled impurities immersed in a Bose-Einstein condensate. We treat them as two quantum Brownian particles interacting with a bath composed of the Bogoliubov modes of the condensate. The Langevin-like quantum stochastic equations derived exhibit memory effects. We study two scenarios: (i) In the absence of an external potential, we observe sudden death of entanglement; (ii) In the presence of an external harmonic potential, entanglement survives even at the asymptotic time limit. Our study considers experimentally tunable parameters.

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DYNAMICS OF BISOLITONIC MATTER WAVES IN A BOSE–EINSTEIN CONDENSATE SUBJECTED TO AN ATOMIC BEAM SPLITTER AND GRAVITY

Modern Physics Letters B ◽

10.1142/s0217984910025243 ◽

2010 ◽

Vol 24 (30) ◽

pp. 2911-2920 ◽

Cited By ~ 1

Author(s):

ALAIN MOÏSE DIKANDÉ ◽

ISAIAH NDIFON NGEK ◽

JOSEPH EBOBENOW

Keyword(s):

Einstein Condensate ◽

Matter Wave ◽

Pitaevskii Equation ◽

Transform Method ◽

Perturbative Approach ◽

Matter Waves ◽

Bose Einstein Condensate ◽

Scattering Transform ◽

Experimental Implementation ◽

Bose Einstein

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 equation. The model consists of a single condensate subjected to an expulsive harmonic potential creating a double-condensate structure, and a gravitational potential that induces atomic exchanges between the two overlapping post condensates. Using a non-isospectral scattering transform method, exact expressions for the bright-matter–wave bisolitons are found in terms of double-lump envelopes with the co-propagating pulses displaying more or less pronounced differences in their widths and tails depending on the mass of atoms composing the condensate.

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Nonautonomous matter wave bright solitons in a quasi-1D Bose-Einstein condensate system with contact repulsion and dipole-dipole attraction

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124951 ◽

2020 ◽

Vol 371 ◽

pp. 124951 ◽

Cited By ~ 2

Author(s):

Houria Triki ◽

Amitava Choudhuri ◽

Qin Zhou ◽

Anjan Biswas ◽

Ali Saleh Alshomrani

Keyword(s):

Einstein Condensate ◽

Matter Wave ◽

Bright Solitons ◽

Bose Einstein Condensate ◽

Bose Einstein ◽

Condensate System

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DYNAMICS OF BRIGHT MATTER WAVE SOLITONS IN A BOSE–EINSTEIN CONDENSATE

International Journal of Modern Physics B ◽

10.1142/s0217979205032279 ◽

2005 ◽

Vol 19 (22) ◽

pp. 3415-3473 ◽

Cited By ~ 127

Author(s):

FATKHULLA Kh. ABDULLAEV ◽

ARNALDO GAMMAL ◽

ANATOLY M. KAMCHATNOV ◽

LAURO TOMIO

Keyword(s):

Feshbach Resonance ◽

Fresnel Diffraction ◽

Einstein Condensate ◽

Matter Wave ◽

Soliton Interactions ◽

Bright Solitons ◽

Bose Einstein Condensate ◽

The Creation ◽

Bose Einstein

Recent experimental and theoretical advances in the creation and description of bright matter wave solitons are reviewed. Several aspects are taken into account, including the physics of soliton train formation as the nonlinear Fresnel diffraction, soliton-soliton interactions, and propagation in the presence of inhomogeneities. The generation of stable bright solitons by means of Feshbach resonance techniques is also discussed.

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