Dynamics in spinor condensates controlled by a microwave dressing field

Abstract

We experimentally study spin dynamics in a sodium antiferromagnetic spinor condensate with off-resonant microwave pulses. In contrast to a magnetic field, a microwave dressing field enables us to explore rich spin dynamics under the influence of a negative net quadratic Zeeman shift $q_{\mathrm{net}}$. We find an experimental signature to determine the sign of $q_{\mathrm{net}}$, and observe harmonic spin population oscillations at every $q_{\mathrm{net}}$ except near each separatrix in phase space where spin oscillation period diverges. In the negative and positive $q_{\mathrm{net}}$ regions, we also observe a remarkably different relationship between each separatrix and the magnetization. Our data confirms an important prediction derived from the mean-field theory: spin-mixing dynamics in spin-1 condensates substantially depends on the sign of the ratio of $q_{\mathrm{net}}$ and the spin-dependent interaction energy. This work may thus be the first to use only one atomic species to reveal mean-field spin dynamics, especially the separatrix, which are predicted to appear differently in spin-1 antiferromagnetic and ferromagnetic spinor condensates.

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