Localization of solitons: linear response of the mean-field ground state to weak external potentials
arXiv:1007.4607 · doi:10.1007/s00340-011-4425-3
Abstract
Two aspects of bright matter-wave solitons in weak external potentials are discussed. First, we briefly review recent results on the Anderson localization of an entire soliton in disordered potentials [Sacha et al. PRL 103, 210402 (2009)], as a paradigmatic showcase of genuine quantum dynamics beyond simple perturbation theory. Second, we calculate the linear response of the mean-field soliton shape to a weak, but otherwise arbitrary external potential, with a detailed application to lattice potentials.
arXiv commentSelected paper presented at the 2010 Spring Meeting of the Quantum Optics and Photonics Section of the German Physical Society. V2: minor changes, published version
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- Many-body Anderson localization in one dimensional systems
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- Dark soliton in a disorder potential
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