Dark matter-wave gap solitons of Bose-Einstein condensates trapped in optical lattices with competing cubic-quintic nonlinearities

2021 ◽  
Vol 150 ◽  
pp. 111149
Author(s):  
Junbo Chen ◽  
Jianhua Zeng
Keyword(s):  
Dark Matter ◽  
Optical Lattices ◽  
Matter Wave ◽  
Gap Solitons ◽  
Bose Einstein

scholarly journals THEORY OF NONLINEAR MATTER WAVES IN OPTICAL LATTICES

2004 ◽  
Vol 18 (14) ◽  
pp. 627-651 ◽  
Author(s):  
V. A. BRAZHNYI ◽  
V. V. KONOTOP
Keyword(s):  
Optical Lattices ◽  
Evolution Equations ◽  
Modulational Instability ◽  
Spatial Scales ◽  
Tight Binding ◽  
Matter Wave ◽  
Pitaevskii Equation ◽  
Tight Binding Approximation ◽  
Matter Waves ◽  
Bose Einstein

We consider several effects of the matter wave dynamics which can be observed in Bose–Einstein condensates embedded into optical lattices. For low-density condensates, we derive approximate evolution equations, the form of which depends on relation among the main spatial scales of the system. Reduction of the Gross–Pitaevskii equation to a lattice model (the tight-binding approximation) is also presented. Within the framework of the obtained models, we consider modulational instability of the condensate, solitary and periodic matter waves, paying special attention to different limits of the solutions, i.e. to smooth movable gap solitons and to strongly localized discrete modes. We also discuss how the Feshbach resonance, a linear force and lattice defects affect the nonlinear matter waves.

Gap solitons in spin–orbit-coupled Bose–Einstein condensates in bichromatic optical lattices

Optik ◽  
2018 ◽  
Vol 168 ◽  
pp. 140-151 ◽  
Author(s):  
T.F. Xu ◽  
Y.F. Zhang ◽  
Zai-Dong Li ◽  
C. Zhang ◽  
R. Hao
Keyword(s):  
Optical Lattices ◽  
Spin Orbit ◽  
Gap Solitons ◽  
Bose Einstein

scholarly journals Interaction of matter-wave gap solitons in optical lattices

2004 ◽  
Vol 6 (10) ◽  
pp. 423-427 ◽  
Author(s):  
Beata J Dabrowska ◽  
Elena A Ostrovskaya ◽  
Yuri S Kivshar
Keyword(s):  
Optical Lattices ◽  
Matter Wave ◽  
Gap Solitons

scholarly journals Gap solitons in Bose–Einstein condensates in linear and nonlinear optical lattices

2007 ◽  
Vol 367 (1-2) ◽  
pp. 149-155 ◽  
Author(s):  
Fatkhulla Abdullaev ◽  
Abdulaziz Abdumalikov ◽  
Ravil Galimzyanov
Keyword(s):  
Nonlinear Optical ◽  
Optical Lattices ◽  
Linear And Nonlinear ◽  
Gap Solitons ◽  
Bose Einstein
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