Precision measurement of Coriolis force with 2D Penning trapped ion crystal

The precision measurement of Coriolis force finds application in rotation measurement. In the non-inertial reference, the Coriolis force caused by the moving of proof of mass in the perpendicular direction. Here, we are focus on the Coriolis force measurement in a quantum harmonic oscillator. The vibration of the ions forms a harmonic oscillator while the Coriolis force is formed in the vertical direction. To configure this type of rotation measurement, we studied the 2D Penning trapped ions. In the system, the magnetron motion of the ions is controlled by rotating wall driving. The Coriolis force induced perpendicular vibration which is measured by an optical method. Optical dipole force entangled the position of the oscillator with the internal degree of freedom of the ions. Precision measurement of the amplitude of the oscillator is required. To let the force response as large as possible, we studied the shape of the ions under different rotating wall driving frequencies. We need to let the rotating wall driving frequency be equal to the axial resonance frequency and thus the amplitude of the ions can be very large. Note that under resonance, we have an oscillator with Q factor of 10⁶. We studied the sensitivity limit of the quantum vibration gyroscope and will talk about future application of the gyroscope.