Quantum Two-breathers Formed by Ultracold Bosonic Atoms in Optical Lattices |
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Authors: | Bing Tang |
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Affiliation: | 1.College of Physics, Mechanical and Electrical Engineering,Jishou University,Jishou,China |
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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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