From super-Bloch oscillations to sudden self-trapping in Bose–Einstein condensates with inter-atomic interactions

2020 ◽  
Vol 102 (1) ◽  
pp. 329-337
Author(s):  
F. S. Passos ◽  
W. S. Dias
Keyword(s):  
Bloch Oscillations ◽  
Atomic Interactions ◽  
Self Trapping ◽  
Bose Einstein

scholarly journals Self-trapping of Bose-Einstein condensates in optical lattices

2006 ◽  
Vol 74 (6) ◽  
Author(s):  
Bingbing Wang ◽  
Panming Fu ◽  
Jie Liu ◽  
Biao Wu
Keyword(s):  
Optical Lattices ◽  
Self Trapping ◽  
Bose Einstein

scholarly journals Macroscopic self-trapping in Bose-Einstein condensates: Analysis of a dynamical quantum phase transition

2010 ◽  
Vol 81 (2) ◽  
Author(s):  
B. Juliá-Díaz ◽  
D. Dagnino ◽  
M. Lewenstein ◽  
J. Martorell ◽  
A. Polls
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Self Trapping ◽  
Bose Einstein

PARAMETRIC EXCITATION OF SOLITONS IN DIPOLAR BOSE–EINSTEIN CONDENSATES

2013 ◽  
Vol 27 (25) ◽  
pp. 1350184 ◽  
Author(s):  
A. BENSEGHIR ◽  
W. A. T. WAN ABDULLAH ◽  
B. A. UMAROV ◽  
B. B. BAIZAKOV
Keyword(s):  
Parametric Excitation ◽  
Einstein Condensate ◽  
Quantum Gases ◽  
Variational Approximation ◽  
Pitaevskii Equation ◽  
Nonlocal Nonlinearity ◽  
Bose Einstein Condensate ◽  
Atomic Interactions ◽  
Theoretical Predictions ◽  
Bose Einstein

In this paper, we study the response of a Bose–Einstein condensate with strong dipole–dipole atomic interactions to periodically varying perturbation. The dynamics is governed by the Gross–Pitaevskii equation with additional nonlinear term, corresponding to a nonlocal dipolar interactions. The mathematical model, based on the variational approximation, has been developed and applied to parametric excitation of the condensate due to periodically varying coefficient of nonlocal nonlinearity. The model predicts the waveform of solitons in dipolar condensates and describes their small amplitude dynamics quite accurately. Theoretical predictions are verified by numerical simulations of the nonlocal Gross–Pitaevskii equation and good agreement between them is found. The results can lead to better understanding of the properties of ultra-cold quantum gases, such as 52 Cr , 164 Dy and 168 Er , where the long-range dipolar atomic interactions dominate the usual contact interactions.

Switching and self-trapping dynamics of bose-Einstein solitons

2000 ◽  
Vol 47 (7) ◽  
pp. 1155-1169 ◽  
Author(s):  
S. Raghavan ◽  
G. P. Agrawal
Keyword(s):  
Self Trapping ◽  
Bose Einstein
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