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We investigate the two-component quantum walk in one-dimensional lattice. Weshow that the inter-component interaction strength together with the hoppingimbalance between the components exhibit distinct features in the quantum walkfor different initial states. When the walkers are initially on the same site,both the slow and fast particles perform independent particle quantum walkswhen the interaction between them is weak. However, stronger inter-particleinteractions result in quantum walks by the repulsively bound pair formedbetween the two particles. For different initial states when the walkers are ondifferent sites initially, the quantum walk performed by the slow particle isalmost independent of that of the fast particle, which exhibits reflected andtransmitted components across the particle with large hopping strength for weakinteractions. Beyond a critical value of the interaction strength, the wavefunction of the fast particle ceases to penetrate through the slow particlesignalling a spatial phase separation. However, when the two particles areinitially at the two opposite edges of the lattice, then the interactionfacilitates the complete reflection of both of them from each other. We analyzethe above mentioned features by examining various physical quantities such asthe on-site density evolution, two-particle correlation functions andtransmission coefficients.

Two component quantum walk in one-dimensional lattice with hopping imbalance