  We study a minimal model for the dynamics of spinons in quantum spin ice. The
model captures the essential strong coupling between the spinon and the
disordered background spins. We demonstrate that the spinon motion can be
mapped to a random walk with an entropy-induced memory in imaginary time. Our
numerical simulation of the spinon walk indicates that the spinon propagates as
a massive quasiparticle at low energy despite its strong coupling to the spin
background at the microscopic energy scale. We discuss the experimental
implications of our findings.
