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arxiv 2102.00808 v1 pith:NMZHKQH3 submitted 2021-02-01 quant-ph

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

classification quant-ph
keywords berrycurvaturesystemevolutionstatestructurestwo-levelcertain
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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