Localization of solitons: linear response of the mean-field ground state to weak external potentials

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, as a paradigmatic showcase of genuine quantum dynamics beyond simple perturbation theory. Second,...

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Veröffentlicht in:	Applied physics. B, Lasers and optics Lasers and optics, 2011-03, Vol.102 (3), p.459-467
1. Verfasser:	Muller, C A
Format:	Artikel
Sprache:	eng
Schlagworte:	Engineering Ground state Lasers Lattices Localization Mathematical analysis Optical Devices Optics Perturbation theory Photonics Physical Chemistry Physics Physics and Astronomy Quantum Optics Showcases Solitons
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description	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, 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.
doi_str_mv	10.1007/s00340-011-4425-3
format	Article
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subjects	Engineering Ground state Lasers Lattices Localization Mathematical analysis Optical Devices Optics Perturbation theory Photonics Physical Chemistry Physics Physics and Astronomy Quantum Optics Showcases Solitons
title	Localization of solitons: linear response of the mean-field ground state to weak external potentials
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