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Quantum Two-breathers Formed by Ultracold Bosonic Atoms in Optical Lattices

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Abstract

Two-discrete breathers are the bound states of two localized modes that can appear in classical nonlinear lattices. I investigate the quantum signature of two-discrete breathers in the system of ultracold bosonic atoms in optical lattices, which is modeled as Bose–Hubbard model containing n bosons. When the number of bosons is small, I find numerically quantum two-breathers by making use of numerical diagonalization and perturbation theory. For the cases of a large number of bosons, I can successfully construct quantum two-breather states in the Hartree approximation.

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Acknowledgments

I am pleased to thank my teacher Prof. De-Jun Li for useful discussions and valuable suggestions. This work was supported by the National Natural Science Foundation of China under Grant No. 11264012 and the Talents Recruitment Program of Jishou University under Grant No. jsdxrcyjkyxm 201501.

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  1. College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou, 416000, Hunan, China

    Bing Tang

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Tang, B. Quantum Two-breathers Formed by Ultracold Bosonic Atoms in Optical Lattices. Int J Theor Phys 55, 2697–2710 (2016). https://doi.org/10.1007/s10773-015-2903-9

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