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• W1661771907 abstract "We study the dynamics of self-trapping in Bose-Einstein condensates (BECs) loaded in deep optical lattices with Gaussian initial conditions, when the dynamics is well described by the Discrete Nonlinear Schrodinger Equation (DNLS). In the literature an approximate dynamical phase diagram based on a variational approach was introduced to distinguish different dynamical regimes: diffusion, self-trapping and moving breathers. However, we find that the actual DNLS dynamics shows a completely different diagram than the variational prediction. We numerically calculate a detailed dynamical phase diagram accurately describing the different dynamical regimes. It exhibits a complex structure which can readily be tested in current experiments in BECs in optical lattices and in optical waveguide arrays. Moreover, we derive an explicit theoretical estimate for the transition to self-trapping in excellent agreement with our numerical findings, which may be a valuable guide as well for future studies on a quantum dynamical phase diagram based on the Bose-Hubbard Hamiltonian." @default.
• W1661771907 created "2016-06-24" @default.
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• W1661771907 date "2016-03-22" @default.
• W1661771907 modified "2023-09-26" @default.
• W1661771907 title "Dynamical phase diagram of Gaussian wave packets in optical lattices" @default.
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• W1661771907 doi "https://doi.org/10.1103/physreve.93.032219" @default.
• W1661771907 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/27078356" @default.
• W1661771907 hasPublicationYear "2016" @default.
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