On the theory of the amplification of backwards matter waves in a Bose-Einstein condensate of dilute gas

2005 ◽  
Vol 2 (10) ◽  
pp. 512-515 ◽  
Author(s):  
Yu A Avetisyan ◽  
E D Trifonov
Keyword(s):  
Einstein Condensate ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Dilute Gas ◽  
Bose Einstein

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 Supersolidity of the $\alpha$ cluster structure in the nucleus $^{12}$C

2020 ◽  
Vol 2020 (4) ◽  
Author(s):  
S Ohkubo ◽  
J Takahashi ◽  
Y Yamanaka
Keyword(s):  
Cluster Model ◽  
Cluster Structure ◽  
Einstein Condensate ◽  
Effective Field ◽  
Ground Band ◽  
Model Based ◽  
Bose Einstein Condensate ◽  
Dilute Gas ◽  
Alpha Cluster ◽  
Bose Einstein

Abstract For more than half a century, the structure of $^{12}$C, such as the ground band, has been understood to be well described by the three $\alpha$ cluster model based on a geometrical crystalline picture. On the contrary, recently it has been claimed that the ground state of $^{12}$C is also well described by a nonlocalized cluster model without any of the geometrical configurations originally proposed to explain the dilute gas-like Hoyle state, which is now considered to be a Bose–Einstein condensate of $\alpha$ clusters. The challenging unsolved problem is how we can reconcile the two exclusive $\alpha$ cluster pictures of $^{12}$C, crystalline vs. nonlocalized structure. We show that the crystalline cluster picture and the nonlocalized cluster picture can be reconciled by noticing that they are a manifestation of supersolidity with properties of both crystallinity and superfluidity. This is achieved through a superfluid $\alpha$ cluster model based on effective field theory, which treats the Nambu–Goldstone zero mode rigorously. For several decades, scientists have been searching for a supersolid in nature. Nuclear $\alpha$ cluster structure is considered to be the first confirmed example of a stable supersolid.

Nonautonomous matter waves in a spin-1 Bose-Einstein condensate

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
Yu-Jia Shen ◽  
Yi-Tian Gao ◽  
Da-Wei Zuo ◽  
Yu-Hao Sun ◽  
Yu-Jie Feng ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
Matter Waves ◽  
Bose Einstein Condensate ◽  
Bose Einstein
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