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Quantum Simulation

Finite-Size Scaling Analysis of the Planck's Quantum-Driven Integer Quantum Hall Transition in Spin-1/2 Kicked Rotor Model

arXiv

Authors: Jia-Long Zhang, Long Zhang, Fu-Chun Zhang

Year

2021

Paper ID

40955

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

The quantum kicked rotor (QKR) model is a prototypical system in the research of quantum chaos. In a spin-1/2 QKR, tuning the effective Planck parameter realizes a series of transitions between dynamical localization phases, which closely resembles the integer quantum Hall (IQH) effect and the plateau transitions. In this work, we devise and apply the finite-size scaling analysis to the transitions in the spin-1/2 QKR model. We obtain an estimate of the critical exponent at the transition point, ν=2.62(9), which is consistent with the IQH plateau transition universality class. We also give a precise estimate of the universal diffusion rate at the metallic critical state, σ^*=0.3253(12).

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
It adds a 2021 reference point for readers tracking recent quantum research.
The quantum kicked rotor (QKR) model is a prototypical system in the research of quantum chaos.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2112.02748 [2] arXiv https://arxiv.org/abs/2112.02748 [3] Publisher https://arxiv.org/abs/2112.02748

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