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

• URL: http://arxiv.org/abs/2406.18016v1
• Date: Wed, 26 Jun 2024 02:08:28 GMT
• Title: Universal scaling of quantum state transport in one-dimensional topological chain under nonadiabatic dynamics
• Authors: Lingzi Huang, Menghua Deng, Chen Sun, Fuxiang Li,
• Abstract summary: We study the scaling of quantum state transport in a one-dimensional topological system subject to a linear drive. We illustrate the power-law dependencies of the quantum state's transport distance, width, and peak magnitude on the driving velocity.
• Score: 4.9347081318119015
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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