arXiv:1704.00486 · Physical Review A

Measurement of the topological Chern number by continuous probing of a qubit subject to a slowly varying Hamiltonian

Peng Xu, Alexander Holm Kiilerich, Ralf Blattmann, Yang Yu, Shi-Liang Zhu, Klaus Mølmer

Published Jul 5, 2017• 9 citations

Abstract

We analyze a measurement scheme that allows determination of the Berry curvature and the topological Chern number of a Hamiltonian with parameters exploring a two-dimensional closed manifold. Our method uses continuous monitoring of the gradient of the Hamiltonian with respect to one parameter during a quasiadiabatic quench of the other. Measurement backaction leads to disturbance of the system dynamics, but we show that this can be compensated by a feedback Hamiltonian. As an example, we analyze the implementation with a superconducting qubit subject to time-varying, near-resonant microwave fields, equivalent to a spin-1/2 particle in a magnetic field.

DOI: 10.1103/physreva.96.010101

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