Alessandro Olgiati
Published 2017-09-14Version 1
The effective dynamics for a Bose-Einstein condensate in the regime of high dilution and subject to an external magnetic field is governed by a magnetic Gross-Pitaevskii equation. We elucidate the steps needed to adapt to the magnetic case the proof of the derivation of the Gross-Pitaevskii equation within the "projection counting" scheme.
Journal: Published in Advances in Quantum Mechanics, G. Dell' Antonio and A. Michelangeli, eds., vol. 18 of INdAM-Springer series, Springer International Publishing. pp. 257-266 (2017)
Derivation of the Bogoliubov Time Evolution for Gases with Finite Speed of Sound
Derivation of the Gross-Pitaevskii Hierarchy
Effective evolution equations from many body quantum dynamics
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