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Self-localization of Bose–Einstein condensates in optical lattices

Kruse, J., & Fleischmann, R. (2017). Self-localization of Bose–Einstein condensates in optical lattices. Journal of Physics B: Atomic, Molecular and Optical Physics, 50(5): 055002. doi:10.1088/1361-6455/aa584e.

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Genre: Journal Article

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Creators:
Kruse, J., 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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Free keywords: Bose–Einstein, optical lattice, self-localization, Anderson
Abstract: Mean field and beyond mean field model calculations of Bose–Einstein condensates trapped in optical lattices have shown that initially homogeneous condensates can evolve into self-trapped, strongly localized states in the presence of weak boundary dissipation, a phenomenon called self-localization. A dynamical phase transition from extended to localized states can be observed when the effective nonlinearity exceeds a critical threshold ${{\rm{\Lambda }}}_{\mathrm{eff}}^{{\rm{c}}}$. We investigate this phase transition to self-localization in the mean field approximation of the discrete nonlinear Schrödinger equation. We quantitatively characterize the properties of the discrete breathers, i.e. the nonlinear localized solutions, at the phase transition. This leads us to propose and numerically verify an analytical lower bound ${{\rm{\Lambda }}}_{\mathrm{eff}}^{{\rm{L}}}$ for the critical nonlinearity based on the idea of self-induced Anderson localization.

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Language(s): eng - English
Dates: 2017-01-102017-02-14
Publication Status: Published in print
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Rev. Method: Peer
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Title: Journal of Physics B: Atomic, Molecular and Optical Physics
Source Genre: Journal
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Pages: 9 Volume / Issue: 50 (5) Sequence Number: 055002 Start / End Page: - Identifier: -