Multi-fold binary Darboux transformation and mixed solitons of a three-component Gross-Pitaevskii system in the spinor Bose-Einstein condensate

2021 ◽  
pp. 105988
Author(s):  
C.-R. Zhang ◽  
B. Tian ◽  
Q.-X. Qu ◽  
Y.-Q. Yuan ◽  
C.-C. Wei
Keyword(s):  
Darboux Transformation ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Binary Darboux Transformation ◽  
Bose Einstein

scholarly journals Nonperiodic Oscillation of Bright Solitons in Condensates with a Periodically Oscillating Harmonic Potential 10.5560/ZNA.2012-0085

2012 ◽  
Vol 67 (12) ◽  
pp. 723-728
Author(s):  
Zhang-Ming He ◽  
Deng-Long Wang ◽  
Yan-Chao She ◽  
Jian-Wen Ding ◽  
Xiao-Hong Yan
Keyword(s):  
Darboux Transformation ◽  
Oscillation Frequency ◽  
Dynamic Properties ◽  
Einstein Condensate ◽  
Harmonic Potential ◽  
Bright Solitons ◽  
Bose Einstein Condensate ◽  
Oscillating Potential ◽  
Bose Einstein

Considering a periodically oscillating harmonic potential, we explored the dynamic properties of bright solitons in a Bose-Einstein condensate by using Darboux transformation. It is found that the soliton movement exhibits a nonperiodic oscillation under a slow oscillating potential, while it is hardly affected under a fast oscillating potential. Furthermore, the head-on and/or ‘chase’ collisions of two solitons have been obtained, which could be controlled by the oscillation frequency of the potential.

scholarly journals The Darboux Transformation and N-Soliton Solutions of Coupled Cubic-Quintic Nonlinear Schrödinger Equation on a Time-Space Scale

2021 ◽  
Vol 6 (1) ◽  
pp. 12
Author(s):  
Huanhe Dong ◽  
Chunming Wei ◽  
Yong Zhang ◽  
Mingshuo Liu ◽  
Yong Fang
Keyword(s):  
Dynamic System ◽  
Darboux Transformation ◽  
Soliton Solutions ◽  
Einstein Condensate ◽  
Nonlinear Schrödinger ◽  
Bose Einstein Condensate ◽  
Space Scale ◽  
Time Space ◽  
Bose Einstein ◽  
Quintic Nonlinear Schrödinger Equation

The coupled cubic-quintic nonlinear Schrödinger (CQNLS) equation is a universal mathematical model describing many physical situations, such as nonlinear optics and Bose–Einstein condensate. In this paper, in order to simplify the process of similar analysis with different forms of the coupled CQNLS equation, this dynamic system is extended to a time-space scale based on the Lax pair and zero curvature equation. Furthermore, Darboux transformation of the coupled CQNLS dynamic system on a time-space scale is constructed, and the N-soliton solution is obtained. These results effectively combine the theory of differential equations with difference equations and become a bridge connecting continuous and discrete analysis.

scholarly journals Transport of a Single Cold Ion Immersed in a Bose-Einstein Condensate

2021 ◽  
Vol 126 (3) ◽  
Author(s):  
T. Dieterle ◽  
M. Berngruber ◽  
C. Hölzl ◽  
R. Löw ◽  
K. Jachymski ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Ultrafast electron cooling in an expanding ultracold plasma

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Tobias Kroker ◽  
Mario Großmann ◽  
Klaus Sengstock ◽  
Markus Drescher ◽  
Philipp Wessels-Staarmann ◽  
...  
Keyword(s):  
Theoretical Models ◽  
Einstein Condensate ◽  
Direct Access ◽  
Electron Cooling ◽  
Plasma Dynamics ◽  
Strongly Coupled ◽  
Bose Einstein Condensate ◽  
Ultracold Plasma ◽  
Strongly Coupled Plasma ◽  
Bose Einstein

AbstractPlasma dynamics critically depends on density and temperature, thus well-controlled experimental realizations are essential benchmarks for theoretical models. The formation of an ultracold plasma can be triggered by ionizing a tunable number of atoms in a micrometer-sized volume of a 87Rb Bose-Einstein condensate (BEC) by a single femtosecond laser pulse. The large density combined with the low temperature of the BEC give rise to an initially strongly coupled plasma in a so far unexplored regime bridging ultracold neutral plasma and ionized nanoclusters. Here, we report on ultrafast cooling of electrons, trapped on orbital trajectories in the long-range Coulomb potential of the dense ionic core, with a cooling rate of 400 K ps−1. Furthermore, our experimental setup grants direct access to the electron temperature that relaxes from 5250 K to below 10 K in less than 500 ns.

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