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  Dynamical phase diagram of Gaussian wave packets in optical lattices.

Henning, H., Neff, T., & Fleischmann, R. (2016). Dynamical phase diagram of Gaussian wave packets in optical lattices. Physical Review E, 93(3): 032219. doi:10.1103/PhysRevE.93.032219.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-3B37-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-3E0C-B
Genre: Journal Article

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Henning, H., Author
Neff, T., Author
Fleischmann, Ragnar1, Author              
Affiliations:
1Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063286              

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 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 Schrödinger equation (DNLSE). 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 DNLSE dynamics shows a completely different diagram than the variational prediction. We calculate numerically a detailed dynamical phase diagram accurately describing the different dynamical regimes. It exhibits a complex structure that 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.

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Language(s): eng - English
 Dates: 2016-03-222016-03
 Publication Status: Published in print
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 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevE.93.032219
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Title: Physical Review E
Source Genre: Journal
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Pages: 6 Volume / Issue: 93 (3) Sequence Number: 032219 Start / End Page: - Identifier: -