Abstract: | |
We study the dependency of the quantum spin dynamics on the particle number in a system of ultracold spin-1 atoms within the single-spatial-mode approximation. We find, for all strengths of the spin-dependent interaction, convergence toward the mean-field dynamics in the thermodynamic limit. The convergence is, however, particularly slow when the spin-changing collisional energy and the quadratic Zeeman energy are equal; that is, deviations between quantum and mean-field spin dynamics may be extremely large under these conditions. Our estimates show that quantum corrections to the mean-field dynamics may play a relevant role in experiments with spinor Bose-Einstein condensates. This is especially the case in the regime of few atoms, which may be accessible in optical lattices. Here, spin dynamics is modulated by a beat note at large magnetic fields due to the significant influence of correlated many-body spin states. © 2010 The American Physical Society.
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License of this version: | Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
Publication type: | Article |
Publishing status: | publishedVersion |
Publication date: | 2010 |
Keywords english: | Bose-Einstein condensates, Collisional energies, Many-body, Mean field dynamics, Mean-field, Mode approximations, Optical lattices, Particle numbers, Quantum correction, Quantum spin dynamics, Spin state, Spin-dependent interactions, Thermodynamic limits, Ultra-cold, Ultracold atoms, Zeeman energies, Atoms, Dynamics, Electromagnetic field effects, Magnetic fields, Statistical mechanics, Steam condensers, Spin dynamics |
DDC: | 530 | Physik |
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