We learned the physics and mathematics of Rabi oscillation due to a perturbating linearly oscillating magnetic field in the previous chapter. The skills and insights we gained are important. However, the mathematics used was cumbersome. The freedom of applying a linearly oscillating magnetic field to construct a quantum gate is also limited. In this chapter, we will consider a magnetic field rotation on the \(\hat {x}-\hat {y}\) plane. It gives a great degree of freedom to rotate a state on the Bloch sphere about any axis (not just the axis along the oscillating field as in the linear case). Moreover, the magnetic field magnitude need not be small.

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Spin Qubit—Rabi Oscillation Under Rotating Field Using Rotating Frame

  • Hiu Yung Wong

摘要

We learned the physics and mathematics of Rabi oscillation due to a perturbating linearly oscillating magnetic field in the previous chapter. The skills and insights we gained are important. However, the mathematics used was cumbersome. The freedom of applying a linearly oscillating magnetic field to construct a quantum gate is also limited. In this chapter, we will consider a magnetic field rotation on the \(\hat {x}-\hat {y}\) plane. It gives a great degree of freedom to rotate a state on the Bloch sphere about any axis (not just the axis along the oscillating field as in the linear case). Moreover, the magnetic field magnitude need not be small.