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Title
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Optical solutions of cold bosonic atoms in a zig‑zag optical lattice
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Type
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JournalPaper
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Keywords
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Cold bosonic atoms in zig-zag optical lattices · Expa function method and Hyperbolic function method · Hyperbolic solutions and trigonometric solutions · Stability condition
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Abstract
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In this paper, using the continuum approximation and from a discrete equation governing a system of cold bosonic atoms in zig-zag optical lattices derived an equation in a continuum domain. With two different methods, namely the expa function method and the Hyperbolic function method, found many solutions of the equation considered. These solutions are Hyperbolic solutions and trigonometric solutions. Discrete representations have been done to observe their behaviors. These results will help to understand the dynamics of cold bosonic atoms in zig-zag optical lattices and several other systems. More importantly, in this article derived the Lagrangian and the stability condition of the model studied. The methods employed here are very simple and concise.
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Researchers
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Ahmet Bekir (Not In First Six Researchers), - - (Fifth Researcher), Mostafa Eslami (Fourth Researcher), - - (Third Researcher), Hadi Rezazadeh (Second Researcher), - - (First Researcher)
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