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We study the quantum walk of two bosons possessing onsite repulsiveinteraction on a two-leg ladder and show that the presence of uniform fluxpiercing through the plaquettes of the ladder favors the localization of thebound states in the dynamics. We find that when the two bosons aresymmetrically initialized on the edge rung of the ladder, they tend toedge-localize in their quantum walk - a phenomenon which is not possible in theabsence of flux. On the other hand, when the bosons are initialized on the bulkrung they never localize and exhibit linear spreading in their quantum walk.Interestingly, however, we find that in the later case a finite flux favourslocalization of the bulk bound states in the presence of sufficiently weakquasiperiodic disorder which is otherwise insufficient to localize theparticles in the absence of flux. In both the cases, we obtain that thelocalization in the dynamics strongly depends on the combined effect of theflux and interaction strengths, as a result which we obtain a signature ofre-entrant delocalization as a function of flux (interaction) for fixedinteraction (flux) strengths.

Flux enhanced localization and reentrant delocalization in the quantum walk of interacting bosons on two-leg ladder