The Spatial Evolution Chaos of a Trapped Bose-Einstein Condensate in One-Dimensional Optical Lattice Potential

2012 ◽  
Vol 10 (1) ◽  
pp. 400-404
Author(s):  
Jianshu Fang ◽  
Liyu Luo ◽  
Xiangping Liao ◽  
Xinye Li
Keyword(s):  
Optical Lattice ◽  
Einstein Condensate ◽  
Spatial Evolution ◽  
One Dimensional ◽  
Lattice Potential ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Ground states of a Bose-Einstein Condensate in a one-dimensional laser-assisted optical lattice

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Qing Sun ◽  
Jie Hu ◽  
Lin Wen ◽  
W.-M. Liu ◽  
G. Juzeliūnas ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Ground States ◽  
Einstein Condensate ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice

Symmetry ◽  
2021 ◽  
Vol 14 (1) ◽  
pp. 49
Author(s):  
Barun Halder ◽  
Suranjana Ghosh ◽  
Pradosh Basu ◽  
Jayanta Bera ◽  
Boris Malomed ◽  
...  
Keyword(s):  
Exact Solutions ◽  
Optical Lattice ◽  
Einstein Condensate ◽  
Experimental Realization ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Symmetry Properties ◽  
Symmetry Constraints ◽  
Localized Patterns ◽  
Bose Einstein

We address dynamics of Bose-Einstein condensates (BECs) loaded into a one-dimensional four-color optical lattice (FOL) potential with commensurate wavelengths and tunable intensities. This configuration lends system-specific symmetry properties. The analysis identifies specific multi-parameter forms of the FOL potential which admits exact solitary-wave solutions. This newly found class of potentials includes more particular species, such as frustrated double-well superlattices, and bichromatic and three-color lattices, which are subject to respective symmetry constraints. Our exact solutions provide options for controllable positioning of density maxima of the localized patterns, and tunable Anderson-like localization in the frustrated potential. A numerical analysis is performed to establish dynamical stability and structural stability of the obtained solutions, which makes them relevant for experimental realization. The newly found solutions offer applications to the design of schemes for quantum simulations and processing quantum information.

Antisymmetry breaking of discrete dipole gap solitons induced by a phase-slip defect

2014 ◽  
Vol 28 (12) ◽  
pp. 1450097 ◽  
Author(s):  
Xiangyu Zhang ◽  
Jinglei Chai ◽  
Dezhao Ou ◽  
Yongyao Li
Keyword(s):  
Symmetry Breaking ◽  
Optical Lattice ◽  
Einstein Condensate ◽  
Phase Slip ◽  
One Dimensional ◽  
Waveguide Arrays ◽  
Bose Einstein Condensate ◽  
First Excited State ◽  
Bose Einstein ◽  
Dipole Soliton

In this paper, we study the antisymmetry breaking of discrete dipole soliton induced by a phase-slip one-dimensional discrete lattice, which contains on-site self-repulsive nonlinearity. This system can be realized in waveguide arrays system in optics or Bose–Einstein condensate in optical lattice. Different from the symmetry breaking occurring in the ground-state, antisymmetry breaking occurs in the first excited state, which contains antisymmetry. For this system, stable antisymmetric dipole soliton and anti-asymmetric are found, the symmetry transition between them is supercritical type. It is found that, increasing the total norm of the soliton or decreasing the coupled strength of the defect waveguide can lead to the antisymmetry breaking. Such kind of symmetry breaking can lead to the change of the tendency of some characters of the soliton.

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