Measurement Induced Chirality II: Diffusion and Disorder
- URL: http://arxiv.org/abs/2306.11150v2
- Date: Thu, 26 Oct 2023 13:54:38 GMT
- Title: Measurement Induced Chirality II: Diffusion and Disorder
- Authors: Brian J J Khor, Matthew Wampler, Gil Refael, Israel Klich
- Abstract summary: We investigate the diffusive behavior in the system and the effect of various types of disorder on the measurement induced chiral transport protocol.
We examine the edge flow of particles per measurement cycle for three different types of disorder: site dilution, lattice distortion, and disorder in onsite chemical potential.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Repeated quantum measurements can generate effective new non-equilibrium
dynamics in matter. Here we combine such a measurement driven system with
disorder. In particular, we investigate the diffusive behavior in the system
and the effect of various types of disorder on the measurement induced chiral
transport protocol [1]. We begin by characterizing the diffusive behavior
produced by the measurements themselves in a clean system. We then examine the
edge flow of particles per measurement cycle for three different types of
disorder: site dilution, lattice distortion, and disorder in onsite chemical
potential. In the quantum Zeno limit, the effective descriptions for the
disordered measurement system with lattice distortions and random onsite
potential can be modelled as a classical stochastic model, and the overall
effect of increasing these disorders induces a crossover from perfect flow to
zero transport. On the other hand if vacancies are present in the lattice the
flow of particles per measurement cycle undergoes a percolation phase
transition from unity to zero with percolation threshold $p_c \approx 0.26$,
with critical exponent $\nu \approx 1.35$. We also present numerical results
away from Zeno limit and note that the overall effect of moving away from the
Zeno effect is to reduce particle flow per cycle when the measurement frequency
in our protocol is reduced.
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