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Trapped Ion Quantum Computing

Universal scaling of quantum state transport in one-dimensional topological chain under nonadiabatic dynamics

arXiv
Authors: Lingzi Huang, Menghua Deng, Chen Sun, Fuxiang Li

Year

2024

Paper ID

66087

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

When a system is driven across a continuous phase transition, the density of topological defects demonstrates a power-law scaling behavior versus the quenching rate, as predicted by Kibble-Zurek mechanism. In this study, we generalized this idea and address the scaling of quantum state transport in a one-dimensional topological system subject to a linear drive through its topological quantum phase transition point. We illustrate the power-law dependencies of the quantum state's transport distance, width, and peak magnitude on the driving velocity. Crucially, the power-law exponents are distinct for the edge state and bulk state. Our results offer a novel perspective on quantum state transfer and enriches the field of Kibble-Zurek behaviors and nonadiabatic quantum dynamics.

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  • When a system is driven across a continuous phase transition, the density of topological defects demonstrates a power-law scaling behavior versus the quenching rate, as...

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