  We study the dynamics of a transverse-field XY chain driven across quantum
critical points by noisy control fields. We characterize the defect density as
a function of the quench time and the noise strength, and demonstrate that the
defect productions for three quench protocols with different scaling exponents
exhibit the anti-Kibble-Zurek behavior, whereby slower driving results in more
defects. The protocols are quenching through the boundary line between
paramagnetic and ferromagnetic phases, quenching across the isolated
multicritical point and along the gapless line, respectively. We also show that
the optimal quench time to minimize defects scales as a universal power law of
the noise strength in all the three cases. Furthermore, by using quantum
simulation of the quench dynamics in the spin system with well-designed
Landau-Zener crossings in pseudo-momentum space, we propose an experimentally
feasible scheme to test the predicted anti-Kibble-Zurek behavior of this noisy
transverse-field XY chain with two-level systems under controllable
fluctuations.
