Dimensional reduction and localization of a Bose-Einstein condensate in a quasi-1D bichromatic optical lattice
arXiv:1511.02501 · doi:10.12693/APhysPolA.128.979
Abstract
We analyze the localization of a Bose-Einstein condensate (BEC) in a one-dimensional bichromatic quasi-periodic optical-lattice potential by numerically solving the 1D Gross-Pitaevskii equation (1D GPE). We first derive the 1D GPE from the dimensional reduction of the 3D quantum field theory of interacting bosons obtaining two coupled differential equations (for axial wavefuction and space-time dependent transverse width) which reduce to the 1D GPE under strict conditions. Then, by using the 1D GPE we report the suppression of localization in the interacting BEC when the repulsive scattering length between bosonic atoms is sufficiently large.
10 pages, 2 figures, presented at the 7th Workshop on Quantum Chaos and Localisation Phenomena, May 29-31, 2015 - Warsaw, Poland; to be published in a special issue of Acta Physica Polonica A
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- Quantum tunneling dynamics of an interacting Bose-Einstein condensate through a Gaussian barrier
- A Python GPU-accelerated solver for the Gross-Pitaevskii equation and applications to many-body cavity QED