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We investigate continuous-time quantum walks of two fermionic atoms loaded inone-dimensional optical lattices with on-site interaction and subjected to aZeeman field. The quantum walks are accompanied by spin-flipping processes. Wecalculate the time-dependent density distributions of the two fermions withopposite spins which are initially positioned on the center site by means ofexact numerical method. Besides the usual fast linear expansion behavior, wefind an interesting spin-flipping induced localization in the time-evolution ofdensity distributions. We show that the fast linear expansion behavior could berestored by simply ramping on the Zeeman field or further increasing thespin-flipping strength. The intrinsic origin of this exotic phenomenon isattributed to the emergence of a flat band in the single particle spectrum ofthe system. Furthermore, we investigate the effect of on-site interaction onthe dynamics of the quantum walkers. The two-particle correlations arecalculated and signal of localization is also shown therein. A simple potentialexperimental application of this interesting phenomenon is proposed.

Quantum walks accompanied by spin flipping in one-dimensional optical lattices