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A theoretical study on quantum breathers and two-breathers in a β-Fermi-Pasta-Ulam chain with the second-neighbor coupling is reported. In the Hartree approximation, the equation of motion for the single-vibron wave functions is obtained analytically. By the discrete modulational instability analysis, we analyze the influence of the second-neighbor coupling on modulational instability areas and predict...
A theoretical work on quantum breathers in a nonlinear Klein–Gordon lattice model with nearest and next-nearest neighbor interactions is presented. The semiclassical and the full quantum cases are respectively considered. For the semiclassical case, we obtain the analytical solution of discrete breather, and find that the wave number corresponding to the appearance of discrete breather changes when...
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