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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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- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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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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