ATOM-OPTICAL BISTABILITY IN TRAPPED BOSE–EINSTEIN CONDENSATES

2000 ◽  
Vol 14 (01) ◽  
pp. 31-37 ◽  
Author(s):  
ZENG-BING CHEN
Keyword(s):  
Nonlinear Optics ◽  
Master Equation ◽  
Optical Bistability ◽  
Einstein Condensate ◽  
Matter Wave ◽  
Atom Optics ◽  
Bose Einstein Condensate ◽  
Atom Lasers ◽  
Bose Einstein ◽  
Markov Master Equation

The close similarities between nonlinear optics and nonlinear atom optics motivate us to demonstrate the possibility of atom-optical bistability for a trapped Bose–Einstein condensate. Driven by an intense, coherent input matter wave, the trapped Bose–Einstein condensate might display the bistability when the Born–Markov master equation for the condensate mode is used. The atom-optical bistability provides a way to control atom lasers with atom lasers.

Integrability and Multi-Soliton Solutions for a Variable-Coefficient Coupled Gross–Pitaevskii System for Atomic MatterWaves

2012 ◽  
Vol 67 (10-11) ◽  
pp. 525-533
Author(s):  
Zhi-Qiang Lin ◽  
Bo Tian ◽  
Ming Wang ◽  
Xing Lu
Keyword(s):  
Variable Coefficient ◽  
Soliton Solutions ◽  
Variable Coefficients ◽  
Einstein Condensate ◽  
Matter Wave ◽  
Bilinear Method ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Hirota Bilinear

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.

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

2010 ◽  
Vol 24 (30) ◽  
pp. 2911-2920 ◽  
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.

scholarly journals The Bose-Einstein Condensate and Cold Atom Laboratory

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Kai Frye ◽  
Sven Abend ◽  
Wolfgang Bartosch ◽  
Ahmad Bawamia ◽  
Dennis Becker ◽  
...  
Keyword(s):  
Space Station ◽  
Cold Atom ◽  
Einstein Condensate ◽  
Atom Interferometry ◽  
Microgravity Environment ◽  
Atom Optics ◽  
Trapped Atoms ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Coherent Manipulation

AbstractMicrogravity eases several constraints limiting experiments with ultracold and condensed atoms on ground. It enables extended times of flight without suspension and eliminates the gravitational sag for trapped atoms. These advantages motivated numerous initiatives to adapt and operate experimental setups on microgravity platforms. We describe the design of the payload, motivations for design choices, and capabilities of the Bose-Einstein Condensate and Cold Atom Laboratory (BECCAL), a NASA-DLR collaboration. BECCAL builds on the heritage of previous devices operated in microgravity, features rubidium and potassium, multiple options for magnetic and optical trapping, different methods for coherent manipulation, and will offer new perspectives for experiments on quantum optics, atom optics, and atom interferometry in the unique microgravity environment on board the International Space Station.

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

2005 ◽  
Vol 19 (22) ◽  
pp. 3415-3473 ◽  
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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