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

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

2010-07-27

arxiv.org/abs/1007.4607v2

Appl. Phys. B 102, 459-467 (2011)

Physics

Condensed Matter

Quantum Gases

Selected paper presented at the 2010 Spring Meeting of the Quantum Optics and Photonics Section of the German Physical Society

Scientific paper

10.1007/s00340-011-4425-3

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.

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