Measurement Induced Chirality II: Disorder and Diffusion

We investigate the effects of (1) site blockade disorder, (2) random onsite potential, and (3) random hopping strength in measurement induced chirality on a system of free fermions on Lieb lattice, extending our earlier work [1]. In the Zeno limit, the chiral flow of particles for the site blockade disorder case undergoes percolation-like phase transition when measurement period T = 4π n. For the random onsite potential and random hopping model, the system under periodic measurement can be modelled as a random walk model on with random hopping probability on different links, and the chiral flow rate exhibits a crossover from unity to zero transport upon increasing disorder strength. Moving away from the Zeno limit will generally reduce the chiral flow continuously for all three disorder cases when one reduces the frequency of measurements per measurement protocol cycle. We also present analytical and numerical results on the diffusion transport of our measurement protocol in both clean and disorder cases.

References: [1] Stirring by Staring: Measurement Induced Chirality, PRX 12, 031031 (2022).