Anderson localization of solitons
arXiv:0907.0338 · doi:10.1103/PhysRevLett.103.210402
Abstract
At low temperature, a quasi-one-dimensional ensemble of atoms with attractive interaction forms a bright soliton. When exposed to a weak and smooth external potential, the shape of the soliton is hardly modified, but its center-of-mass motion is affected. We show that in a spatially correlated disordered potential, the quantum motion of a bright soliton displays Anderson localization. The localization length can be much larger than the soliton size and could be observed experimentally.
version accepted for publication in Phys. Rev. Lett
References in corpus (6)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Anderson localization of a Bose-Einstein condensate in a 3D random potential
- Dark soliton dynamics in Bose-Einstein condensates at finite temperature
- Stable Bloch oscillations of cold atoms with time-dependent interaction
- Quantum Diffusion of Matter Waves in 2D Speckle Potentials
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