Tracking quantum state evolution by the Berry curvature with a two-level system

• URL: http://arxiv.org/abs/2102.00808v1
• Date: Mon, 1 Feb 2021 12:55:25 GMT
• Title: Tracking quantum state evolution by the Berry curvature with a two-level system
• Authors: Ze-Lin Zhang, Ping Xu, Zhen-Biao Yang
• Abstract summary: We investigate two kinds of topological structures spanned by the controlled parameters of a driven two-level system's Hamiltonian. We show the Berry curvature obtained through the dynamical response method, and demonstrate the system's state evolution can be tracked and manipulated by extracting the Berry curvature.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate two kinds of topological structures (sphere and torus) spanned by the controlled parameters of a driven two-level system's Hamiltonian, and consider the connection between the structures and the system's dynamics. We discuss the Berry curvature obtained through the dynamical response method, show the certain physical and observable manifolds including the gapped region probed by integrating the Berry curvature, and demonstrate the system's state evolution can be tracked and manipulated by extracting the Berry curvature.

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