One-dimensional delocalizing transitions of matter waves in optical lattices

2009 ◽  
Vol 238 (15) ◽  
pp. 1372-1387 ◽  
Author(s):  
H.A. Cruz ◽  
V.A. Brazhnyi ◽  
V.V. Konotop ◽  
M. Salerno
Keyword(s):  
Optical Lattices ◽  
One Dimensional ◽  
Matter Waves

Matter waves of Bose-Fermi mixtures in one-dimensional optical lattices

2006 ◽  
Vol 74 (4) ◽  
Author(s):  
Yu. V. Bludov ◽  
J. Santhanam ◽  
V. M. Kenkre ◽  
V. V. Konotop
Keyword(s):  
Optical Lattices ◽  
One Dimensional ◽  
Matter Waves

scholarly journals Noise correlations of one-dimensional Bose mixtures in optical lattices

2010 ◽  
Vol 81 (6) ◽  
Author(s):  
Anzi Hu ◽  
L. Mathey ◽  
Carl J. Williams ◽  
Charles W. Clark
Keyword(s):  
Optical Lattices ◽  
One Dimensional

Atomic transport on one-dimensional optical lattices

1997 ◽  
Vol 56 (3) ◽  
pp. 2109-2122 ◽  
Author(s):  
W. Greenwood ◽  
P. Pax ◽  
P. Meystre
Keyword(s):  
Optical Lattices ◽  
One Dimensional ◽  
Atomic Transport

Matter-wave solitons supported by quadrupole–quadrupole interactions and anisotropic discrete lattices

2018 ◽  
Vol 32 (09) ◽  
pp. 1850107 ◽  
Author(s):  
Rong-Xuan Zhong ◽  
Nan Huang ◽  
Huang-Wu Li ◽  
He-Xiang He ◽  
Jian-Tao Lü ◽  
...  
Keyword(s):  
Optical Lattices ◽  
Chemical Potential ◽  
Plane Waves ◽  
Einstein Condensate ◽  
Matter Wave ◽  
Linear Dispersion ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Discrete Lattices ◽  
Discrete Solitons

We numerically and analytically investigate the formations and features of two-dimensional discrete Bose–Einstein condensate solitons, which are constructed by quadrupole–quadrupole interactional particles trapped in the tunable anisotropic discrete optical lattices. The square optical lattices in the model can be formed by two pairs of interfering plane waves with different intensities. Two hopping rates of the particles in the orthogonal directions are different, which gives rise to a linear anisotropic system. We find that if all of the pairs of dipole and anti-dipole are perpendicular to the lattice panel and the line connecting the dipole and anti-dipole which compose the quadrupole is parallel to horizontal direction, both the linear anisotropy and the nonlocal nonlinear one can strongly influence the formations of the solitons. There exist three patterns of stable solitons, namely horizontal elongation quasi-one-dimensional discrete solitons, disk-shape isotropic pattern solitons and vertical elongation quasi-continuous solitons. We systematically demonstrate the relationships of chemical potential, size and shape of the soliton with its total norm and vertical hopping rate and analytically reveal the linear dispersion relation for quasi-one-dimensional discrete solitons.

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