https://doi.org/10.1140/epjp/s13360-021-01258-6
Regular Article
Tracking quantum state evolution by the Berry curvature with a two-level system
1
Fujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University, 350108, Fuzhou, China
2
School of Astronomy and Space Science, Nanjing University, 210093, Nanjing, China
Received:
25
June
2020
Accepted:
20
February
2021
Published online:
1
March
2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
