Arrays of Rydberg atoms have appeared as a remarkably rich playground to
study quantum phase transitions in one dimension. One of the biggest puzzles
that was brought forward in this context is a commensurate-incommensurate phase
transitions out of density waves. Experiments report the transitions with
dynamical critical exponent z>1 that recent theoretical and numerical
analysis attribute to the appearance of chiral transitions introduced by Huse
and Fisher. However, further experimental exploration of these exotic
transitions is complicated by the narrow parameter window where chiral
transition can be realized. We argue that multi-component Rydberg arrays offer
extra experimentally controllable parameters and provide a mechanism to tune
quantum critical properties of the conformal Ashkin-Teller point that in turns
controls the extent of the chiral transition. Here we consider an effective
blockade model of two component Rydberg atoms - weak and strong components
obeying nearest- and next-nearest-neighbor blockades. When laser detuning is
applied to either strong or weak components the system is in the period-3 or
period-2 phases correspondingly. However, laser detuning used for both
components simultaneously stabilizes the period-4 phase partly surrounded by
the chiral transition. We show that the extent of the chiral transition and
even its appearance can be controlled by the relative ratio of the Rabi
frequencies of the two components.Comment: 9 pages, 10 figure