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Bulletin of the American Physical Society

Coherent collisional spin-dynamics in an optical lattice

Artur Widera, Simon F olling, Fabrice Gerbier, Torben M uller, Immanuel Bloch

Published May 18, 2006• 1 citation
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We report on the observation of coherent, purely collisionally driven spin dynamics of neutral atoms in an optical lattice. For high lattice depths, atom pairs confined to the same lattice site show weakly damped Rabi-type oscillations between two-particle Zeeman states of equal magnetization, induced by spin-changing collisions. Moreover, measurement of the oscillation frequency allows for precise determination of the spin-changing collisional coupling strengths, which are directly related to fundamental scattering lengths describing interatomic collisions at ultracold temperatures.
Quantum beat phenomenon presence in coherent spin dynamics of spin-2 87^{87}87Rb atoms in a deep optical lattice
Motivated by the recent experimental work (A. Widera, \textit{et al}, Phys. Rev. Lett. 95, 19045), we study the collisional spin dynamics of two spin-2 % ^{87}Rb atoms confined in a deep optical lattice. When the system is initialized as ∣0,0>|0,0>∣0,0>, three different two-particle Zeeman states are involved in the time evolution due to the conservation of magnetization. For a large magnetic field B>0.8B>0.8B>0.8 Guass, the spin coherent dynamics reduces to a Rabi-like oscillation between the states ∣0,0>|0,0>∣0,0> and % |1,-1>. However, under a small magnetic field, a general three-level coherent oscillation displays. In particular, around a critical magnetic field Bc≃0.48B_{c}\simeq 0.48Bc​≃0.48 Guass, the probability in the Zeeman states $% |2,-2> $ exhibits a novel quantum beat phenomenon, ready to be confirmed in future experiments.
We propose a method to obtain a regular arrangement of two-level atoms in a three-dimensional optical lattice with unit filling, where all the atoms share internal state coherence and metrologically useful quantum correlations. Such a spin-squeezed atomic crystal is obtained by adiabatically raising an optical lattice in an interacting two-component Bose-Einstein condensate. The scheme could be directly implemented on a microwave transition with state-of-the-art techniques and used in optical-lattice atomic clocks with bosonic atoms to strongly suppress the collisional shift and benefit from the spins quantum correlations at the same time.