Influence of the next-nearest neighbor and the boson–boson interactions on U-shaped, W-shaped profile and modulation instability gain spectra in a zig–zag optical lattice

Author(s):  
Alphonse Houwe ◽  
Souleymanou Abbagari ◽  
Serge Yamigno Doka ◽  
Mustafa Inc ◽  
Kofane Timoleon Crepin
2017 ◽  
Vol 31 (20) ◽  
pp. 1750140 ◽  
Author(s):  
Z. I. Djoufack ◽  
A. Kenfack-Jiotsa ◽  
J.-P. Nguenang

The dynamics and the energy spectrum of an ultracold gas of bosonic atoms in an optical lattice can be described by a Bose–Hubbard model for which the system parameters can be controlled by laser light. We study by means of the perturbation theory in addition to the numerical diagonalization, the energy spectrum and the related features of the band structures of the ultracold bosons in optical lattices containing a few number of quanta interacting with next-nearest neighbor interactions (NNNI) modeled by the Bose–Hubbard Hamiltonian. The energy spectra of such system display the bound states signature, which are analyzed in the first Brillouin zone for different wave numbers. The finding, i.e., quantum breathers, shows that their probabilities’ weight depends on the wave vector. The influence of NNNI on both the probabilities’ amplitude and the correlation function is also realized in case of a system with a small number of sites, respectively.


2009 ◽  
Vol 102 (5) ◽  
Author(s):  
M. Karski ◽  
L. Förster ◽  
J. M. Choi ◽  
W. Alt ◽  
A. Widera ◽  
...  

2011 ◽  
Vol 106 (14) ◽  
Author(s):  
Daniel Greif ◽  
Leticia Tarruell ◽  
Thomas Uehlinger ◽  
Robert Jördens ◽  
Tilman Esslinger

2010 ◽  
Vol 82 (6) ◽  
Author(s):  
Rashi Sachdeva ◽  
Sonika Johri ◽  
Sankalpa Ghosh

2009 ◽  
Vol 116 (4) ◽  
pp. 519-521 ◽  
Author(s):  
A. Wöllert ◽  
G. Gligorić ◽  
M.M. Škorić ◽  
A. Maluckov ◽  
N. Raičević ◽  
...  

Author(s):  
J. M. Oblak ◽  
W. H. Rand

The energy of an a/2 <110> shear antiphase. boundary in the Ll2 expected to be at a minimum on {100} cube planes because here strue ture is there is no violation of nearest-neighbor order. The latter however does involve the disruption of second nearest neighbors. It has been suggested that cross slip of paired a/2 <110> dislocations from octahedral onto cube planes is an important dislocation trapping mechanism in Ni3Al; furthermore, slip traces consistent with cube slip are observed above 920°K.Due to the high energy of the {111} antiphase boundary (> 200 mJ/m2), paired a/2 <110> dislocations are tightly constricted on the octahedral plane and cannot be individually resolved.


Author(s):  
S. R. Herd ◽  
P. Chaudhari

Electron diffraction and direct transmission have been used extensively to study the local atomic arrangement in amorphous solids and in particular Ge. Nearest neighbor distances had been calculated from E.D. profiles and the results have been interpreted in terms of the microcrystalline or the random network models. Direct transmission electron microscopy appears the most direct and accurate method to resolve this issue since the spacial resolution of the better instruments are of the order of 3Å. In particular the tilted beam interference method is used regularly to show fringes corresponding to 1.5 to 3Å lattice planes in crystals as resolution tests.


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